f(T) teleparallel gravity and cosmology

Abstract

Over the past decades, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description. Here we review various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories, resulting in extending torsional gravity in the paradigm of f(T) gravity, where f(T) is an arbitrary function of the torsion scalar. Based on this theory, we further review the corresponding cosmological and astrophysical applications. In particular, we study cosmological solutions arising from f(T) gravity, both at the background and perturbation levels, in different eras along the cosmic expansion. The f(T) gravity construction can provide a theoretical interpretation of the late-time universe acceleration, and it can easily accommodate with the regular thermal expanding history including the radiation and cold dark matter dominated phases. Furthermore, if one traces back to very early times, a sufficiently long period of inflation can be achieved and hence can be investigated by cosmic microwave background observations, or alternatively, the Big Bang singularity can be avoided due to the appearance of non-singular bounces. Various observational constraints, especially the bounds coming from the large-scale structure data in the case of f(T) cosmology, as well as the behavior of gravitational waves, are described in detail. Moreover, the spherically symmetric and black hole solutions of the theory are reviewed. Additionally, we discuss various extensions of the f(T) paradigm. Finally, we consider the relation with other modified gravitational theories, such as those based on curvature, like f(R) gravity, trying to enlighten the subject of which formulation might be more suitable for quantization ventures and cosmological applications.

Invited Review for Reports on Progress in Physics, 136 pages, 37 Figures, 15 Tables, published version. arXiv admin note: text overlap with arXiv:gr-qc/0011087, arXiv:1501.05129, arXiv:gr-qc/0610067, arXiv:1209.4859 by other authors

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• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Observational Constraints on $f(T)$ Gravity from Model-Independent Data
• Equivalence of non-minimally coupled cosmologies by Noether symmetries
• Exploring Axial Symmetry in Modified Teleparallel Gravity
• Generalized Chaplygin gas and accelerating universe in $f(Q,T)$ gravity
• Torsional birefringence in metric-affine Chern-Simons gravity: gravitational waves in late-time cosmology
• The Galactic Center as a laboratory for theories of gravity and dark matter
• Testing the Cosmic Anisotropy with Supernovae Data: Hemisphere Comparison and Dipole Fitting
• Attractor behaviour of $f(T)$ modified gravity and the cosmic acceleration
• Continuum mechanics with torsion
• Slow-roll inflation in generalized scalar-torsion gravity
• Testing the violation of the equivalence principle in the electromagnetic sector and its consequences in $f(T)$ gravity
• Dynamical system analysis in teleparallel gravity with boundary term
• Complete classification of cosmological teleparallel geometries
• Dynamical complexity of the Teleparallel gravity cosmology
• Tracing Primordial Black Holes in Nonsingular Bouncing Cosmology
• Phase space of modified Gauss-Bonnet gravity
• The gravitational energy-momentum pseudo-tensor of Higher-Order Theories of Gravity
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity
• Generalised nonminimally gravity-matter coupled theory
• Weyl type $f(Q,T)$ gravity observational constrained cosmological model
• Observational Tests of Gauss-Bonnet Like Dark Energy Model
• The dark side of the torsion: Dark Energy from propagating torsion
• General cosmological perturbations in teleparallel gravity
• Dynamical systems analysis of $f(Q)$ gravity
• Realistic neutron star models in $f(T)$ gravity
• Braneworld in $f(T)$ Gravity Theory with Noncanonical Scalar Matter Field
• Neural Network Reconstruction of $H^{\prime }(z)$ and its application in Teleparallel Gravity
• Counting Components in the Lagrange Multiplier Formulation of Teleparallel Theories
• Testing Born-Infeld $f(T)$ teleparallel gravity through Sgr A${}^{\star }$ observations
• Gravitationally Induced Particle Production through a Nonminimal Torsion-Matter Coupling
• IWDM: The fate of an interacting non-cold dark matter $-$ vacuum scenario
• New cosmological constraints on $f(T)$ gravity in light of full Planck-CMB and type Ia supernovae data
• On the Viability of the Intermediate Inflation Scenario with $F(T)$ Gravity
• Gravitational Waves in Higher Order Teleparallel Gravity
• Exact solutions, finite time singularities and non-singular universe models from a variety of $\Lambda (t)$ cosmologies
• Symmetric Teleparallel Geometries
• A frame based approach to computing symmetries with non-trivial isotropy groups
• Fermion localization in braneworld teleparallel f(T,B) gravity
• Exact Solutions in Higher-Dimensional Lovelock and $Ad{S}_5$ Chern-Simons Gravity
• Growth of matter overdensities in non-minimal torsion-matter coupling theories
• Exponential Inflation with $F(R)$ Gravity
• Nonmetricity theories and aspects of gauge symmetry
• Torsion in string-inspired cosmologies and the universe dark sector
• New late-time constraints on $f(R)$ gravity
• On Conserved Quantities for the Schwarzschild Black Hole in Teleparallel Gravity
• Cyclic cosmology in modified gravity
• Questioning the $H_0$ tension via the look-back time
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Gaussian Process Approach for Model-Independent Reconstruction of $f(Q)$ Gravity with Direct Hubble Measurements
• Gravitational wave echoes from compact stars in $f(\mathcal{R},T)$ gravity
• Cosmological model involving an interacting van der Waals fluid
• Toward a concordance teleparallel Cosmology II: Linear perturbation
• An exponential shape function for wormholes in modified gravity
• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Well-tempered teleparallel Horndeski cosmology: a teleparallel variation to the cosmological constant problem
• Testing an oscillatory behavior of dark energy
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Observational test for $f(Q)$ gravity with weak gravitational lensing
• Alleviating $H_0$ tension in Horndeski gravity
• Spherical collapse model and cluster number counts in power law $f(T)$ gravity
• Cosmological Consequences of New Dark Energy Models in Einstein-Aether Gravity
• Weak field limit and gravitational waves in higher-order gravity
• Phenomenological Reconstruction of $f(T)$ Teleparallel Gravity
• On Kasner solution in Bianchi I $f(T)$ cosmology
• Exact Cosmology in Myrzakulov Gravity
• Energy conditions in the $f(R,L,T)$ theory of gravity
• Dark matter signatures of black holes with Yukawa potential
• Testing f(R) gravity with the simulated data of gravitational waves from the Einstein Telescope
• Qualitative Stability Analysis of Cosmological Parameters in $f(T,B)$ Gravity
• Unified dark sectors in scalar-torsion theories of gravity
• Cosmological dynamical systems in modified gravity
• Dynamical system analysis of Myrzakulov gravity
• Magnetogenesis in bouncing cosmology
• Conserved Currents and Superpotentials in Teleparallel Equivalent of General Relativity
• Generalized Birkhoff theorem in the Poincaré gauge gravity theory
• Some aspects of reconstruction using a scalar field in f (T ) Gravity
• Mapping the ${\Lambda }_{\mathrm{s}}$CDM scenario to $f(T)$ modified gravity: Effects on structure growth rate
• Flat connection for rotating vacuum spacetimes in extended teleparallel gravity theories
• Primordial black holes and gravitational waves in teleparallel Gravity
• New parametrization of the dark-energy equation of state with a single parameter
• Solving the $H_0$ tension in $f(T)$ Gravity through Bayesian Machine Learning
• Constraints on $f(Q)$ logarithmic model using gravitational wave standard sirens
• Violation of causality in $f(T)$ gravity
• Well-Tempered Minkowski Solutions in Teleparallel Horndeski Theory
• Exploring Non-perturbative Corrections in Thermodynamics of Static Dirty Black Holes
• Viscous cosmology in $f(T)$ gravity
• Anisotropic f(Q) gravity model with bulk viscosity
• The phase-space view of non-local gravity cosmology
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Rip cosmologies, Wormhole Solutions and Big Trip in the $f(T,\mathcal{T})$ theory of gravity
• Modelling of a compact anisotropic star as an anisotropic fluid sphere in $f(T)$ gravity
• Dark Gravitational Sectors on a Generalized Scalar-Tensor Vector Bundle Model and Cosmological Applications
• Black hole shadow and chaos bound violation in $f(T)$ teleparallel gravity
• PeV IceCube signals and Dark Matter relic abundance in modified cosmologies
• On Reconstruction of Extended Teleparallel Gravity from the Cosmological Jerk Parameter
• Boson stars in $f(T)$ extended theory of gravity
• Effects of modified gravity on the turnaround radius in cosmology
• A new $f(Q)$ cosmological model with $H(z)$ quadratic expansion
• Kinetic Scalar Curvature Extended $f(R)$ Gravity
• Bounce Models within Teleparallel modified gravity
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• The Stability of Anisotropic Compact Stars Influenced by Dark Matter under Teleparallel Gravity: An Extended Gravitational Deformation Approach
• Gravitational Baryogenesis in Running Vacuum models
• Cosmology in Poincare gauge gravity with a pseudoscalar torsion
• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• Perturbations in f(T) cosmology and the spin connection
• Modified $f(Q)$ gravity models and their cosmological consequences
• Noether symmetry in $f(T)$ teleparallel gravity
• The classical and quantum implications of the Raychaudhuri Equation in f(T)-gravity
• Generalized Tachyonic Teleparallel cosmology
• Robust evidence for dynamical dark energy in light of DESI DR2 and joint ACT, SPT, and Planck data
• Modified gravity and cosmology with nonminimal (derivative) coupling between matter and the Einstein tensor
• The Noether Bessel Hagen Symmetry Approach for Dynamical Systems
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• The Raychaudhuri Equation in inhomogeneous FLRW space-time : A $f(R)$-gravity model
• Cosmic evolution in f(T) gravity theory
• Structure growth in $f(Q)$ cosmology
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• Classification of Primary Constraints of Quadratic Non-Metricity Theories of Gravity
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• $f(Q,L_m)$ gravity, and its cosmological implications
• Schwarzschild Black Hole Surrounded by Perfect Fluid Dark Matter in the presence of Quintessence Matter Field
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• A critical discussion on the $H_0$ tension
• Hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling theory of gravity
• General Effective Field Theory of Teleparallel Gravity
• Spherically symmetric teleparallel geometries
• The arbitrariness of potentials in interacting quintessence models
• Perturbations of bounce inflation scenario from $f(T)$ modified gravity revisited
• Reheating in a modified teleparallel model of inflation
• Maximum turnaround radius in $f(R)$ gravity
• BBN Constraints on $f(Q,T)$ Gravity
• Equivalence principle violation at finite temperature in scalar-tensor gravity
• A Complete Cosmological Scenario in Teleparallel Gravity
• Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity
• Cosmological evolution with quadratic gravity and nonideal fluids
• Latest data constraint of some parameterized dark energy models
• On spherically symmetric vacuum solutions and horizons in covariant $f(T)$ gravity theory
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Noether Symmetry Approach in Scalar-Torsion $f(T,\varphi )$ Gravity
• Generalized Teleparallel de Sitter geometries
• Inflation with F(T) Teleparallel Gravity
• Unexplored regions in teleparallel $f(T)$ gravity: Sign-changing dark energy density
• Is the $W$-boson mass enhanced by the axion-like particle, dark photon, or chameleon dark energy?
• Updating constraints on phantom crossing $f(T)$ gravity
• Addressing Cosmological Tensions by Non-Local Gravity
• Gravitational tensor and scalar modes in $f(Q,B)$ non-metric gravity
• Testing non-local gravity by clusters of galaxies
• Junction Conditions for F(T) Gravity from a Variational Principle
• The origin of Weyl gauging in metric-affine theories
• Bouncing solutions in $f(T)$ gravity
• Gaussian-process reconstructions and model building of quintom dark energy from latest cosmological observations
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• Geometrical origins of the Universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter
• String-inspired Teleparallel Cosmology
• Growth of structures using redshift space distortion in $f(T)$ Cosmology
• Cosmic Growth in $f(T)$ Teleparallel Gravity
• Can $f(R)$ gravity isotropize a pre-bounce contracting universe?
• Noether symmetry in a nonlocal f(T) Gravity
• Charged Black Holes with Yukawa Potential
• Raychaudhuri equations and gravitational collapse in Einstein-Cartan theory
• Phase Space description of Nonlocal Teleparallel Gravity
• Charged Anti-de Sitter BTZ black holes in Maxwell-$f(T)$ gravity
• Observational Constraints and Cosmographic Analysis of $f(T,T_G)$ Gravity and Cosmology
• Perspectives on constraining a cosmological constant-type parameter with pulsar timing in the Galactic Center
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip
• Braneworlds in $f(Q)$ gravity
• Axially magnetized Dark Energy cosmological model
• Compact stars in $f(T)=T+\xi T^{\beta }$ gravity
• Non-minimal coupling of fermion to the torsion in the modified teleparallel braneworld
• Studying the Intervention of an Unusual Term in $f(T)$ Gravity via Noether Symmetry
• In search of an interaction in the dark sector through Gaussian Process and ANN approaches
• New anisotropic star solutions in mimetic gravity
• Parametrizations of Dark Energy Models in the Background of General Non-canonical Scalar Field in $D$-dimensional Fractal Universe
• Torsion at different scales: from materials to the Universe
• Rotating charged AdS solutions in quadratic $f(T)$ gravity
• A General Model for Dark Energy Crossing the Phantom Divide
• Dynamical properties of Bianchi-I spacetimes in $f(R)$ gravity
• Noether's stars in $f(\mathcal{R})$ gravity
• Neutron Stars in Modified Teleparallel Gravity
• Friedmann equations in the Codazzi parametrization of Cotton and extended theories of gravity and the Dark Sector
• Prospects of constraining $f(T)$ gravity with the third-generation gravitational-wave detectors
• Noether Symmetries in $f(T,T_G)$ Cosmology
• Renormalizability of alternative theories of gravity: differences between power counting and entropy argument
• Generic Phase Portrait Analysis of the Finite-time Singularities and Generalized Teleparallel Gravity
• Interacting Quintessence in a New Scalar-Torsion Gravity
• Solving Tolman-Oppenheimer-Volkoff equations in $f(T)$ gravity: a novel approach applied to polytropic equations of state
• Enhance Primordial Black Hole Abundance through the Non-linear Processes around Bounce Point
• Solving Tolman-Oppenheimer-Volkoff equations in $f(T)$ gravity: a novel approach
• Teleparallel Robertson-Walker geometries and applications
• Cosmological study of a symmetric teleparallel gravity model
• Exploring cosmological evolution and constraints in $f(T)$ teleparallel gravity
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• Irregular universe in the Nieh-Yan modified teleparallel gravity
• Configurational Entropy and braneworlds in f(T,B) gravity
• Dynamical Complexity in Teleparallel Gauss-Bonnet Gravity
• Search for the $f(R,T)$ gravity functional form via gaussian processes
• Shape of Dark Energy: Constraining Its Evolution with a General Parametrization
• General Teleparallel Modifications of Schwarzschild Geometry
• $f(T)$ cosmology in the regime of quasar observations
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Gravity from Pre-geometry
• The amplification of cosmological magnetic fields in Extended $f(T,B)$ Teleparallel Gravity
• Bulk viscous cosmological model in $f(T,\mathcal{T})$ modified gravity
• Geodesic Congruences and a Collapsing Stellar Distribution in f (T ) Theories
• Maxwell-$f(Q)$ theory
• Bianchi type-I cosmological dynamics in $f(\mathcal{Q})$ gravity: a covariant approach
• A geometric view on local Lorentz transformations in teleparallel gravity
• $f(T)$ Cosmology with Nonzero Curvature
• Tracking the Local Group Dynamics by Extended Gravity
• Exploring bulk viscous unified scenarios with Gravitational Waves Standard Sirens
• Dynamic properties of cyclic cosmologies
• $f(T,B)$ Gravity in the late Universe in the context of local measurements
• A viable form of the metric Teleparallel F(T) theory of gravity
• Schrödinger Connections: From Mathematical Foundations Towards Yano-Schrödinger Cosmology
• Mass of compact stars in f(T) gravity
• Squared torsion $f(T,\mathcal{T})$ gravity and its cosmological implications
• On The Temporal Evolution of Particle Production in $f(T)$ Gravity
• Conformal Killing cosmology -- Geometry, dark sector, growth of structures, and big rip
• Cosmic backreaction and Gauss's law
• Anisotropic cosmological dynamics in $f(T)$ gravity in the presence of a perfect fluid
• Gravitational waves in metric-affine gravity theory
• On the Expanding Phase of a Singular Bounce and Intermediate Inflation: The Modified Gravity Description
• 100 years of mathematical cosmology: Models, theories, and problems
• Slow-roll inflation in $f(T,\mathcal{T})$ modified gravity
• The Gauss-Bonnet topological scalar in the Geometric Trinity of Gravity
• Cosmographic analysis of sign-switching dark energy
• Quantization of Einstein-Cartan theory in the first order form
• $f(Q,T)$ gravity: From early to late-time cosmic acceleration
• Tetrad Fields, Reference Frames, and the Gravitational Energy-Momentum in the Teleparallel Equivalent of General Relativity
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Renyi Holographic Dark Energy models in Teleparallel gravity
• Modified Teleparallel Gravity induced by quantum fluctuations
• Thick string-like braneworlds in f(T) gravity
• Local fragmentation of thin disks in Eddington-inspired gravity
• Variational Problem and Bigravity Nature of Modified Teleparallel Theories
• Emergent Cosmos in Einstein-Cartan Theory
• Interacting quintessence cosmology from Noether symmetries: comparing theoretical predictions with observational data
• Bianchi Type Cosmological Models in $f(T)$ Tele-parallel Gravity
• Spherical collapse and virialization in $f(T)$ gravities
• Regular solutions in $f(T)$-Yang-Mills theory
• Revisiting $f(R)$ gravity's rainbow: Inflation and primordial fluctuations
• Interacting Agegraphic Dark Energy Model in DGP Braneworld Cosmology: Dynamical System Approach
• New proper tetrad for teleparallel gravities in non-flat spacetime
• Discriminating among cosmological models by data-driven methods
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Bianchi I cosmological solutions in teleparallel gravity
• Generalised Proca Theories in Teleparallel Gravity
• Dissipative quintessence, and its cosmological implications
• N-body simulations, halo mass functions, and halo density profile in $f(T)$ gravity
• Compact relativistic geometries in $f(R,G)$ gravity
• Cosmological solutions in teleparallel $F(T,B)$ gravity
• Distinguish the $f(T)$ model from $\Lambda$CDM model with Gravitational Wave observations
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Geometrically contracted structure in teleparallel $f(T)$ gravity
• Stationary BTZ space-time in Ricci-Inverse and $f(\mathcal{R})$ gravity theories
• Cosmological bounces, cyclic universes, and effective cosmological constant in Einstein-Cartan-Dirac-Maxwell theory
• Cosmological perturbations in gravitational energy-momentum complex
• Giant low-surface-brightness dwarf galaxy as a test bench for MOdified Gravity
• Phenomenological signatures of gauge invariant theories of gravity with vectorial nonmetricity
• Generalized McVittie geometry in Horndeski gravity with matter
• Galaxy-galaxy lensing data: $f(T)$ gravity challenges General Relativity
• Dynamical stability of extended teleparallel gravity
• Aether-quasi-dilaton massive gravity
• Beyond Two Parameters: Revisiting Dark Energy with the Latest Cosmic Probes
• On the stability of self-accelerating Universe in modified gravity with dynamical torsion
• Interacting Holographic dark energy with matter creation: A dynamical system analysis
• Cosmological solutions in spatially curved universes with adiabatic particle production
• Non-minimally coupled teleparallel scalar field reconstruction of matter bounce scenario
• Reconstruction of $f(T,\mathcal{T})$ Lagrangian for various cosmological scenarios
• Testing the cosmic distance duality relation with baryon acoustic oscillations and supernovae data
• Spatially Homogeneous Teleparallel Gravity: Bianchi I
• Viable Inflationary Evolution from Loop Quantum Cosmology Scalar-Tensor Theory
• Reconstruction from scalar-tensor theory and the inhomogeneous equation of state in f(T) Gravity
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Modified gravity from Weyl connection and the $f(R,\mathcal{A})$ extension
• Revisiting the phenomenologically emergent dark energy model: is non-zero equation of state of dark matter favored by DESI DR2?
• Inhomogeneous solutions in $f(T,B)$ gravity
• The effective Equation of State in Palatini $f(R)$ cosmology
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Observational Hubble parameter data constraints on the interactive model of $f(T)$ gravity with particle creation
• Teleparallel Geometry with a Single Affine Symmetry
• Structure formation in clustering DBI dark energy model with constant sound speed
• Deformed Weitzenböck Connections and Double Field Theory
• Modified Teleparallel $f(T)$ Gravity, DESI BAO and the $H_0$ Tension
• Traversable Wormholes with Exponential Shape Function in Modified Gravity and in General Relativity: A Comparative Study
• Teleparallel gravity: Effects of torsion in 6D braneworlds
• Dynamics of dark energy in a scalar-vector-torsion theory
• Magnetic black holes in Weitzenböck geometry
• Relativistic binary systems in scale-independent energy-momentum squared gravity
• Fidelity susceptibility for Lifshitz geometries via Lifshitz Holography
• Modified Kerr black holes surrounded by dark matter spike
• Dark energy from topology change induced by microscopic Gauss-Bonnet wormholes
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
• Modified Gravity Model $f(Q,T)$ and Wormhole Solution
• Energy Constraints for Evolving Spherical and Hyperbolic Wormholes in $f(R,T)$ Gravity
• Dynamics of a higher-dimension Einstein-Scalar-Gauss-Bonnet cosmology
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• The issue of Branched Hamiltonian in F(T) Teleparallel Gravity
• Symmetric Teleparallel Gauss-Bonnet Gravity and its Extensions
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Scalar field induced dynamical evolution in teleparallel gravity
• Unveiling the Effects of Coupling Extended Proca-Nuevo Gravity on Cosmic Expansion with Recent Observations
• Spin connection and cosmological perturbations in $f(T)$ gravity
• Extended Geometric Trinity of Gravity
• The generalization of the ADM gravitational energy-momentum
• Slow-rotating black holes with potential in dynamical Chern-Simons modified gravitational theory
• Testing $f(T)$ Gravity with Cosmological Observations: Confronting the Hubble Tension and Implications for the Late-Time Universe
• The Equivalence Principle as a Noether Symmetry
• Dynamical system analysis in modified Galileon cosmology
• On the gravitational energy problem and the energy of photons
• Gravitational partition function modified by super-light brane world perturbative modes
• Model-Independent Reconstruction of Quintessence Potential and Kinetic Energy from DESI DR2 and Pantheon+ Supernovae
• Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames
• Cosmological Dynamics in Interacting Scalar-Torsion f(T,$\varphi$) Gravity: Investigating Energy and Momentum Couplings
• Neutral compact spherically symmetric stars in teleparallel gravity
• Dark Energy in the DESI Era: A Brief Review of Evidence, Beyond-$\Lambda$CDM Interpretations, and Tensions
• Classification of Einstein equations with cosmological constant in warped product space-time
• Scalar Mode Quadrupole Radiation from Astronomical Sources in $F(R)$ Modified Gravity
• Scalar field source Teleparallel Robertson-Walker F(T)-gravity solutions
• Cosmology in theories with derivative matter coupling
• A reconstruction method for anisotropic universes in unimodular $F(R)$-gravity
• Resilience and implications of adiabatic CMB cooling
• An issue with the classification of the scalar-tensor theories of gravity
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• From Barthel Randers Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Non-linear logarithmic interactions and a varying polytropic gas
• New Tsallis holographic dark energy with apparent horizon as IR-cutoff in non-flat Universe
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Constraining some $r^{-n}$ extra-potentials in modified gravity models with LAGEOS-type laser-ranged geodetic satellites
• Static Spherically Symmetric solutions in a subclass of Horndeski theories of gravity
• Teleparallel dark energy in a nonflat universe
• Linearized gravity in terms of differential forms
• The Lambert $W$ function: A newcomer in the Cosmology class?
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• Viable Wormhole Structures and Energy Conditions in f(Q,T) Theory
• Late-time power-law stages of cosmological evolution in teleparallel gravity with nonminimal coupling
• Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation
• Gravitational Wave Propagation and Polarizations in the Teleparallel analog of Horndeski Gravity
• Extensions of two-field mimetic gravity
• Pre-geometric Einstein-Cartan Field Equations and Emergent Cosmology
• Configurational entropy in $f(T)$ gravity
• Comparing measures of the Hubble and BAO tensions in $\Lambda$CDM and possible solutions in $f(Q)$ gravity
• Cartan approach to Teleparallel Equivalent to General Relativity: a review
• Modified Measures as an Effective Theory for Causal Fermion Systems
• Kinematics in Metric-Affine Geometry
• Accelerating behavior from dynamical system analysis parameters
• Observational constraints on dynamical dark energy with pivoting redshift
• Reconstructing the dark matter and dark energy interaction scenarios from observations
• Reconstructing modified and alternative theories of gravity
• Running vacuum and H^4-inflation
• Post-Newtonian Binary Dynamics in Effective Field Theory of Horndeski Gravity
• Effect of some modified models of gravity on the radial velocity of binary systems
• Bulk Action Growth for Holographic Complexity
• Stability of self-accelerating Universe in modified gravity with dynamical torsion: the case of small background torsion
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Reconstruction of the scalar field potential in nonmetricity gravity through Gaussian processes
• Novel electrically charged wormhole, black hole and black bounce exact solutions in hybrid metric-Palatini gravity
• Dynamical System Analysis for Scalar Field Potential in Teleparallel Gravity
• Analytical Stellar Models of Neutron Stars in Teleparallel Gravity
• Dark matter effects in modified teleparallel gravity
• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• Radiative corrections to the $R$ and $R^2$ invariants from torsion fluctuations on maximally symmetric spaces
• Constrain the linear scalar perturbation theory of Cotton gravity
• Cosmological dynamics of interacting dark energy and dark matter in $f(Q)$ gravity
• The scalar-torsion gravity corrections in the first-order inflationary models
• The meaning of torsion in teleparallel theories
• Polytropic Stars in $f(Q)=Q+\xi Q^2$ covariant formulation
• Teleparallel Gravity and Quintessence: The Role of Nonminimal Boundary Couplings
• A polynomial affine model of gravity: after ten years
• Cosmological model with Gong-Zong Parametrization in $f(R,L_m)$ gravity
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• Viability of general relativity and modified gravity cosmologies using high-redshift cosmic probes
• Charged (A)dS black hole solutions in conformal teleparallel equivalent of general relativity
• Cosmic acceleration via derivative matter couplings
• Inflation in Myrzakulov $F(R,T)$ Gravity: A Comparative Study in Metric, Symmetric Teleparallel, and Weitzenböck Formalisms
• Non-Singular Bouncing cosmology from Phantom Scalar-Gauss-Bonnet Coupling: Reconstruction with Observational Insights
• BBN to Late-Time Acceleration in $f(T,{\mathcal{L}}_m)$ Gravity
• Properties of compact objects in quadratic non-metricity gravity
• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
• Stellar isotropic model in the symmetric teleparallel equivalent of general relativity theory
• Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
• Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
• Why the mean anomaly at epoch is not used in tests of non-Newtonian gravity?
• Cosmology in symmetric teleparallel gravity and its dynamical system
• Measuring the gravitomagnetic distortion from rotating halos I: methods
• A short review on Quintom dark energy theory
• First-order hyperbolic formulation of the pure tetrad teleparallel gravity theory
• Energy Conditions in $f(P)$ Gravity
• Logarithmic and Strong Coupling Models in Weyl-Type $f(Q,T)$ Gravity
• Torsion in the Classical Spacetime Context
• Focusing conditions for extended teleparallel gravity theories
• Classical and quantum cosmology of $f(R)$ gravity's rainbow in Schutz's formalism
• Constraining Chaplygin models using diffuse supernova neutrino background
• Hubble Tension and Dark Energy in Teleparallel Gauss-Bonnet Gravity: New Constraints from DESI BAO, Pantheon${}^{+}$ and Hubble Data
• Constraints on Tsallis cosmology using recent low and high redshift measurements
• Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity
• Spin connection and cosmological perturbations in scalar-torsion gravity
• Pseudo-topological Quasi-local Energy of Torsion Gravity
• Non-Causal Propagation for Higher-Order Interactions of Torsion with Spinor Fields
• Observational constraints on cosmological parameters in the Bianchi type III Universe with f(R,T) gravity theory
• Compact stellar model in higher torsion gravitational theory
• Relative Entropy and Torsion Coupling
• A unified-description of curvature, torsion, and non-metricity of the metric-affine geometry with the Möbius representation
• Linear Perturbations and Stability Analysis in $f(T)$ Braneworld Scenario
• Gauge invariant perturbations in teleparallel Horndeski gravity
• On black holes in teleparallel torsion theories of gravity
• Late Time Phenomena in $f(T,\mathcal{T})$ Gravity Framework: Role of $H_0$ Priors
• The Universe according to DESI results
• Higher order mimetic gravity after GW170817
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• Matter Creation Cosmologies and Accelerated Expansion
• Mass and angular momentum for the Kerr black hole in TEGR and STEGR
• Equivalent Gravities and Equivalence Principle: Foundations and experimental implications
• Observational constraints on thawing quintessence scalar field model
• Degrees of Freedom of New General Relativity I: Type 2, Type 3, Type 5, and Type 8
• Wald Entropy in Extended Modified Myrzakulov Gravity Theories: \(f(R, T, Q, R_{μν}T^{μν}, R_{μν}Q^{μν}, \dots)\)
• Cosmology of the non-local Proca theory
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars
• Rotating cosmological cylindrical wormholes in GR and TEGR sourced by anisotropic fluids
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• Testing Exponential $f(R)$ Gravity with CMB, DESI-DR2, and Supernova Data
• Violation of the equivalence principle in curvature based extended gravity at finite temperature
• Black hole physics within $f(R)$ gravity: Quasi-normal spectra and greybody factors
• Phenomenological modification of horizon temperature
• Lagrangian Formulation of the Raychaudhuri Equation in Non-Riemannian Geometry
• Cosmological Study of Autonomous Dynamical Systems in Modified Tele-Parallel Gravity
• Particle Production Scenario in an Algebraically Coupled Quintessence Field with a Dark Matter Fluid
• Classical and quantum cosmology in $f(T)$-gravity theory: A Noether symmetry approach
• Dark Matter Constraints in Myrzakulov $F(R,T)$ Gravity: A Vielbein Approach in Weitzenböck Spacetime with Observational Data
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
• Cosmology in $R^2$-gravity: Effects of a Higher Derivative Scalar Condensate Background
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Theoretical filters for shift-symmetric Horndeski gravities
• On black holes in new general relativity
• Geodesic dynamics and multi-inclination images of a non-minimally coupled black hole with a thin accretion disk
• Observational constraints on Luciano-Saridakis entropic cosmology
• Gas of thin tubes of massless scalar field as a possible model of unified dark fluid
• Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification
• Electromagnetic Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
• Charged spherically symmetric Taub-NUT black hole solutions in $f(R)$ gravity
• Minisuperspace Cosmology in Extended Geometric Trinity of Gravity
• Exploring Late-Time Cosmic Acceleration in VCDM Cosmology
• Cosmological Constraints on f(T,B) Gravity from Observations of Early and Late Universe
• Qualitative analysis of a quasi-magnetic universe
• Scalar perturbation and density contrast evolution in $f(Q,C)$ gravity
• Generic autonomous system approach to interacting dark energy models
• Exact Analytical Taub-NUT like Solution in f(T) Gravity
• Some Classes of Interacting Two-Fluid Model of the Expanding Universe
• Solutions of a slowly rotating Kerr flat-horizon black hole in dynamical Chern-Simons modified gravity
• Effects of Cuscuton dynamics on braneworld configurations in the scalar-tensor representation of $f\left(R,T\right)$ gravity
• The Cosmological Impact of Brane-Chern-Simons Massive Gravity
• Deformed Weitzenböck Connections and Teleparallel Gravity
• Strengthening interacting agegraphic dark energy DGP constraints with local measurements and multimessenger forecastings
• Kaniadakis holographic dark energy: observational constraints and global dynamics
• Does the metric play a fundamental role in the building of gravitational models?
• Fermions with Electric Dipole Moment in curved spacetime
• The first non-static inhomogeneous exact solution in $f(T,B)$ gravity
• Bianchi type-III THDE quintessence model with hybrid expansion law
• Phase space of multi-fluid universe in $F(T)$-gravity and some enhancements for the oscillating interaction model
• Implications of $f(R)$ gravity on late-time cosmic structure growth through a complete description of density perturbations
• Phantom cosmology with arbitrary potential: New accelerating scaling attractors
• Big Bang Nucleosynthesis constraints on $f(T,L_m)$ gravity
• Gauge invariant perturbations of $F(T,T_G)$ Cosmology
• Kalb-Ramond field induced cosmological bounce in generalized teleparallel gravity
• Primordial Magnetic Field from Gravitationally Coupled Electrodynamics in Bouncing Scenario
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity
• Analytically Approximate Black Hole Solution to Higher Curvature Gravity
• Power-law holographic dark energy and cosmology
• Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity
• Cosmology of Cubic Poincaré Gauge gravity
• Conceptual and Geometric Foundations for a Teleparallel Approach to Quantum Gravity
• Thermodynamics in f(T) gravity with nonminimal coupling to matter
• Reconciling the ACT Preference in $f(T)$ Gravity: Inflation and Reheating Constraints
• Bayesian and Machine-Learning Analyses of Nonminimal $f(Q)$ Gravity and $H_0$ Tension
• Resolving the Hubble Tension in the Early Dark Energy Framework with JWST and DESI Data
• Parameterized post Newtonian approximation in a teleparallel model of dark energy with a boundary term
• Generalized Second Law and Thermodynamical Aspects of $f(Q,\mathcal{T})$ Gravity
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling
• Is Dark Energy an Effective Manifestation of Non-equilibrium Thermodynamics? -- Insights from DESI
• Beyond general relativity: gravitational waves in non-minimally coupled theories
• Conditional variational autoencoders for cosmological model discrimination and anomaly detection in cosmic microwave background power spectra
• Black holes solutions in power-law Maxwell-$f(T)$ gravity in diverse dimensions
• Metric-Affine Myrzakulov Gravity Theories
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy
• Accelerating scaling solutions from dark matter particle creation
• Perturbations In Some Dark Energy Models
• Growth factor in teleparallel Gauss-Bonnet gravity
• Non-singular Bouncing Cosmology in $f(R,G,T)$--Quintom model
• Black hole shadows in nonminimally coupled Weyl connection gravity
• Inflation and primordial fluctuations in $f(Q,T)$ gravity
• Exploring the Viability of $f(Q,T)$ Gravity: Constraining Parameters with Cosmological Observations
• Phase space analysis of Bianchi III Universe with $f(R,T)$ gravity theory
• Yano-Schrödinger Hyperfluid: Cosmological Implications
• Geometric formulation of $k$-essence and late-time acceleration
• Covariant density and velocity perturbations of the quasi-Newtonian cosmological model in $f(T)$ gravity
• Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions
• Production of Primordial Gravitational Waves in Teleparallel Gravity
• $f(T,B)$ cosmography for high redshifts
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity
• Bouncing cosmology, $F(T)$ teleparallel gravity and entropy of apparent horizon
• Maximum mass limit of strange stars in quadratic curvature-matter coupled gravity
• Effective $\Lambda$CDM model emerging from $f(Q,T)$ under a special EOS limit in symmetric cosmology with Bayesian and ANN observational constraints
• From Special Relativity to embedded generators in Cartan subalgebras of rank-4 spin algebras
• Impact of Lorentz violation models on exoplanets dynamics
• Static plane symmetric solutions in $f(Q)$ gravity
• Scale-Invariant Bounce Cosmology in Weyl f(Q) Gravity with Quintom Signature
• Electromagnetic Sources Teleparallel Robertson--Walker $F(T)$-Gravity Solutions