Extended Theories of Gravity and their Cosmological and Astrophysical Applications

Abstract

We review Extended Theories of Gravity in metric and Palatini formalism pointing out their cosmological and astrophysical application. The aim is to propose an alternative approach to solve the puzzles connected to dark components.

44 pages, 11 figures

References in corpus (12)

• Dynamics of dark energy
• Are f(R) dark energy models cosmologically viable ?
• The Large Scale Structure of f(R) Gravity
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Dark energy and dark matter as curvature effects
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• The matter power spectrum in f(R) gravity
• CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism
• Neutrino mixing as a source of dark energy
• Cosmic 21-cm Delensing of Microwave Background Polarization and the Minimum Detectable Energy Scale of Inflation
• Dark energy models toward observational tests and data

Cited by in corpus (257)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Dark torsion as the cosmic speed-up
• Beyond the Cosmological Standard Model
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Wormholes supported by hybrid metric-Palatini gravity
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Observational information for f(T) theories and Dark Torsion
• Spherical symmetry in $f(R)$-gravity
• Generalized energy conditions in Extended Theories of Gravity
• Probing non-tensorial polarizations of stochastic gravitational-wave backgrounds with ground-based laser interferometers
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Weak Lensing Probes of Modified Gravity
• Energy Conditions in Modified $f(G)$ Gravity
• Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
• Accelerating cosmologies from non-local higher-derivative gravity
• Comparing Equivalent Gravities: common features and differences
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Anisotropic Compact Stars in $f(G)$ Gravity
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Dark energy from modified gravity with Lagrange multipliers
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Energy conditions bounds on f(T) gravity
• Physical non-equivalence of the Jordan and Einstein frames
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Newtonian limit of nonlocal cosmology
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Renormalizing the vacuum energy in cosmological spacetime: implications for the cosmological constant problem
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Dark energy, inflation and dark matter from modified F(R) gravity
• Selected topics in scalar-tensor theories and beyond
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Unifying Einstein and Palatini gravities
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Dark matters on the scale of galaxies
• Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type $f(Q,T)$ gravity
• The viability of theories with matter coupled to the Ricci scalar
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Traversable Wormhole Solutions in $f(R)$ Gravity Via Karmarkar Condition
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
• Gravitational Perfect Fluid Collapse in f(R) Gravity
• Massive gravity from bimetric gravity
• The Cauchy problem for metric-affine f(R)-gravity in presence of perfect-fluid matter
• SPACE: the SPectroscopic All-sky Cosmic Explorer
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Non-adiabatic dark fluid cosmology
• Anisotropic Fluid and Bianchi Type III Model in f(R) Gravity
• Inflationary Perturbations in Palatini Generalised Gravity
• Accelerating Universe in Modified Theories of Gravity
• Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
• Gödel-type universes in f(R) gravity
• Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy
• f(R) cosmology with torsion
• Geodesic Motion in Schwarzschild Spacetime Surrounded by Quintessence
• Model-independent reconstruction of $f(T)$ teleparallel cosmology
• Singular fate of the universe in modified theories of gravity
• Connecting early and late universe by $f(R)$ gravity
• On dynamical systems approaches and methods in $f(R)$ cosmology
• The Cauchy problem for metric-affine f(R)-gravity in presence of a Klein-Gordon scalar field
• Traversable wormholes in the extended teleparallel theory of gravity with matter coupling
• Fab Four: When John and George play gravitation and cosmology
• A general solution in the Newtonian limit of f(R)- gravity
• New Modified Mimetic Gravity
• Dimensional Transmutation in Gravity and Cosmology
• Equation of state of the running vacuum
• Cosmological Constraints from Hubble Parameter on f(R) Cosmologies
• On the anomalous secular increase of the eccentricity of the orbit of the Moon
• Scalar-Tensor Gravity Cosmology: Noether symmetries and analytical solutions
• From Dark Energy and Dark Matter to Dark Metric
• The dynamics of generalized Palatini Theories of Gravity
• Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Cosmography of f(R) - brane cosmology
• Eddington-Born-Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures
• Curvature corrections to Starobinsky inflation can explain the ACT results
• Stable and self consistent charged gravastar model within the framework of $f(R,T)$ gravity
• The Newtonian limit of metric gravity theories with quadratic Lagrangians
• Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• Early and late time cosmology: the $f(R)$ gravity perspective
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Some remarks about non-minimally coupled scalar field models
• Gödel-type universes in Palatini f(R) gravity
• Running vacuum in QFT in FLRW spacetime: The dynamics of ${\rho }_{\mathrm{vac}}(H)$ from the quantized matter fields
• Anisotropic stress and stability in modified gravity models
• Cosmic acceleration and crossing of $\omega =-1$ in non-minimal modified Gauss-Bonnet gravity
• Gauss-Bonnet Chameleon Mechanism of Dark Energy
• Perihelion precession for modified Newtonian gravity
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Bianchi type-I, type-III and Kantowski-Sachs solutions in f(T) gravity
• Scalar field mass in generalized gravity
• Note on the perihelion/periastron advance due to cosmological constant
• Anomalous decay rate of quasinormal modes in Reissner-Nordström black holes
• Scalar-tensor cosmology with R^{-1} curvature correction by Noether Symmetry
• Position and frequency shifts induced by massive modes of the gravitational wave background in alternative gravity
• Gravitational Effective Action at Second Order in Curvature and Gravitational Waves
• A Non-minimally Coupled Quintom Dark Energy Model on the Warped DGP Brane
• Constraints on f(R) cosmologies from strong gravitational lensing systems
• Charge Gravastars in $f(T)$ Modified Gravity
• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity
• Higher Dimensional Inhomogeneous Perfect Fluid Collapse in \emph{f(R)} Gravity
• Fermi gas and modified gravity
• Coupled quintessence with double exponential potentials
• IWDM: The fate of an interacting non-cold dark matter $-$ vacuum scenario
• Homogeneous cosmologies in generalized modified gravity
• R^n gravity and the chameleon
• Cosmology and the massive photon frequency shift in the Standard-Model Extension
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Exact Solutions in Higher-Dimensional Lovelock and $Ad{S}_5$ Chern-Simons Gravity
• Positivity bounds from multiple vacua and their cosmological consequences
• Spin-orbit effects for compact binaries in scalar-tensor gravity
• Correspondence between Jordan-Einstein frames and Palatini-metric formalisms
• Bounces, turnarounds and singularities in bimetric gravity
• Spherical collapse model and cluster number counts in power law $f(T)$ gravity
• Testing f(R) gravity with the simulated data of gravitational waves from the Einstein Telescope
• Modified GBIG Scenario as an Alternative for Dark Energy
• Metric-affine gravity effects on terrestrial (exo-)planets profiles
• Reconstruction of an Observationally Constrained $f(R,T)$ gravity model
• Scalar Fields Near Compact Objects: Resummation versus UV Completion
• Crossing of Phantom Divide in $F(R)$ Gravity
• X-ray clusters of galaxies in conformal gravity
• Effective metrics in the non-minimal Einstein-Yang-Mills-Higgs theory
• Testing metric-affine f(R)-gravity by relic scalar gravitational waves
• Extended Theories of Gravity with Generalized Energy Conditions
• k-essence in the DGP brane-world cosmology
• The Mass-Radius relation for Quark Stars in Energy-Momentum Squared Gravity
• Topological invariant quintessence
• Future dynamics in f(R) theories
• Viscous Fluids and Gauss-Bonnet Modified Gravity
• Modified theory of gravity and the history of cosmic evolution
• Gödel-type solutions within the f(R,Q) gravity
• Reconstruction of $f(R,T)$ gravity model via the Raychaudhuri equation
• Cosmological aspects of $f(R,T)$ gravity in a simple model with a parametrization of $q$
• Jupiter and jovian (exo)-planets in Palatini $f(\bar{R})$ gravity
• Thermodynamics of Evolving Lorentzian Wormholes at Apparent Horizon in $f(R)$ Theory of Gravity
• $f(R)$ theory and geometric origin of the dark sector in Horava-Lifshitz gravity
• Gravitationally induced matter creation in scalar-tensor $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Solar System tests and chameleon effect in f (R) gravity
• Cosmology in modified $f(\mathcal{G})$ gravity: a late time cosmic phenomena
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• Cosmological evolution with quadratic gravity and nonideal fluids
• Breaking the cosmological background degeneracy by two-fluid perturbations in f(R) gravity
• Running coupling in electroweak interactions of leptons from f(R)-gravity with torsion
• f(T) cosmology against the cosmographic method: A new study using mock and observational data
• Solar System tests of some models of modified gravity proposed to explain galactic rotation curves without dark matter
• No need for dark matter in galaxy clusters within Galileon theory
• Specific neutral and charged black holes in $f(R)$ gravitational theory
• Restricting Fourth Order Gravity via Cosmology
• Dynamical apparent horizons in inhomogeneous Brans-Dicke universes
• The physical foundations for the geometric structure of relativistic theories of gravitation. From General Relativity to Extended Theories of Gravity through Ehlers-Pirani-Schild approach
• The dynamical behaviour of homogeneous scalar-field spacetimes with general self-interaction potentials
• Nonextensive entropies impact onto thermodynamics and phase structure of Kerr-Newman black holes
• Big-bounce cosmology from quantum gravity: The case of a cyclical Bianchi I universe
• Can nonlocal gravity really explain dark energy?
• Can cosmic acceleration be caused by exotic massless particles?
• Invariant quantities of Scalar-Tensor Theories for stellar structure
• Cosmological Tests of $f(R,G,T)$ Dark Energy Model in FRW Universe
• Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries
• Geometric Perfect Fluids from Extended Gravity
• Unveiling Phase Space Modifications: A Clash of Modified Gravity and the Generalized Uncertainty Principle
• On Shapiro time delay in massive scalar-tensor theories
• Planetary seismology as a test of modified gravity proposals
• Exploring departures from Schwarzschild black hole in $f(R)$ gravity
• Giant planet formation in Palatini gravity
• Early evolution of fully convective stars in scalar-tensor gravity
• Astrophysical structures from primordial quantum black holes
• Non-homogeneous exoplanets in metric-affine gravity
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
• Effects of Variable Equations of State on the Stability of Nonlinear Electrodynamics Thin-Shell Wormholes
• Classification of Cosmic Scale Factor via Noether Gauge Symmetries
• Oscillatory behavior of closed isotropic models in second order gravity theory
• Curvature dark energy reconstruction through different cosmographic distance definitions
• Thin accretion disk signatures in hybrid metric-Palatini gravity
• Energy-Momentum Complex in Higher Order Curvature-Based Local Gravity
• Constraining Palatini gravity with GR-independent equations of state for neutron stars
• Gravitomagnetic effects in Kerr-de Sitter space-time
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Cooling process of substellar objects in scalar-tensor gravity
• Naked Singularity in a Modified Gravity Theory
• Cosmological fluids with boundary term couplings
• First test of the consistency relation for the large-scale structure using the anisotropic three-point correlation function of BOSS DR12 galaxies (An explanatory video is available at https://youtu.be/Zi36ooLPhss.)
• The birth of the universe in a new G-Theory approach
• Constraining Exponential f(Q) Gravity with Cosmic Chronometers and Supernovae: A Data-Driven Analysis
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity
• Reconstruction of $f(R)$, $f(T)$ and $f(\mathcal{G})$ models inspired by variable deceleration parameter
• Gravito-magnetic gyroscope precession in Palatini f(R) gravity
• Nonsingular Chaplygin gas cosmologies in universes connected by wormhole
• ΛCDM suitably embedded in f(R) with a non-minimal coupling to matter
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Extended Geometric Trinity of Gravity
• Gravitational Cherenkov Radiation from Extended Theories of Gravity
• Modified Teleparallel $f(T)$ Gravity, DESI BAO and the $H_0$ Tension
• Hybrid star within $f(\mathcal{G})$ gravity
• A reconstruction method for anisotropic universes in unimodular $F(R)$-gravity
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Effects of particle creation rate in two-fluid interacting cosmologies
• Classification of Einstein equations with cosmological constant in warped product space-time
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• On the emergence of a classical Isotropic Universe from a Quantum $f(R)$ Bianchi Cosmology in the Jordan Frame
• Reconstructing modified and alternative theories of gravity
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Intensity mapping of post-reionization 21-cm signal and its cross-correlations as a probe of $f(R)$ gravity
• A Well-Behaved f(R) Gravity Model in Planetary Motions
• Gravitational waves in the extended theory of gravity
• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
• Impulsive gravitational waves of massless particles in extended theories of gravity
• Testing non-local gravity through Ultra-Diffuse Galaxies kinematics
• Generalized modified gravity models: the stability issue
• Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
• Bouncing cosmological model with general relativistic hydrodynamics in extended gravity
• Cosmic scenario of early Universe in context of Euclidean wormhole in dilatonic Einstein Gauss Bonnet gravity
• Investigating new forms of gravity-matter couplings in the gravitational field equations
• Black Hole Entropy and Boundary Conditions
• Constraints on cosmological parameters and CMB first acoustic peak in conformal Killing gravity
• Gravitational waves in minimal Maxwell $f(R)$ gravity
• Can MONDian vector theories explain the cosmic speed up ?
• Fierz-Pauli equation for massive gravitons from Induced Matter theory of gravity
• Cosmological Models in Modified f(R) Gravity Theories
• Observational constraint on Dark Energy from Quantum Uncertainty
• Wald Entropy in Extended Modified Myrzakulov Gravity Theories: \(f(R, T, Q, R_{μν}T^{μν}, R_{μν}Q^{μν}, \dots)\)
• Scalar-tensor cosmologies in a minisuperspace formulation: a case study
• Galactic dynamics in the presence of scalaron: A perspective from $\mathbf{f}(\mathbf{R})$ gravity
• Cosmology in $R^2$-gravity: Effects of a Higher Derivative Scalar Condensate Background
• On Einstein equations with cosmological constant in braneworld models
• A new theory of tensor-scalar gravity coupled to Aharonov-Bohm electrodynamics
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
• Is it possible to separate baryonic from dark matter within the $\Lambda$-CDM formalism?
• Quantum Gravity models - brief conceptual summary
• Spatial Dependence of the Growth Factor in Scalar-Tensor Cosmology
• Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames
• Stellar modeling within regularized 4D Einstein-Gauss-Bonnet gravity in light of current astrophysical constraints
• Non-linear energy conservation theorem in the framework of Special Relativity
• Gravitational waves about curved backgrounds: a consistency analysis in de Sitter spacetime
• Long-Range Models of Modified Gravity and Their Agreement with Solar System and Double Pulsar Data
• Birkhoff's theorem and perturbations in $f(R)$ theories
• Cosmological and astrophysical applications of modified theories of gravity
• Abelian Magnetic Monopoles and Topologically Massive Vector Bosons in Scalar-Tensor Gravity with Torsion Potential
• First order formalism for bimetric theories with connection interaction
• CMB Tensor Anisotropies in f(R) Gravity
• (Lovelock)${}^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation
• A Modified Gravitational Theory of the Matter Sector of the Type $\varphi (R,T){\mathcal{L}}_m$
• New effective theories of gravitation and their phenomenological consequences
• Covariant single-field formulation of effective cosmological bounces
• Constraining Post-Newtonian f(R) Gravity in the Solar System