Modified teleparallel gravity: inflation without inflaton

Abstract

Born-Infeld strategy to smooth theories having divergent solutions is applied to teleparallel equivalent of General Relativity. Differing from other theories of modified gravity, modified teleparallelism leads to second order equations, since teleparallel Lagrangian only contains first derivatives of the vierbein. We show that Born-Infeld-modified teleparallelism solves the particle horizon problem in a spatially flat FRW universe by providing an initial exponential expansion without resorting to an inflaton field.

4 pages, 2 figures. Version to be published in Physical Review D

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• Cosmological determination to the values of the prefactors in the logarithmic corrected entropy-area relation
• The regular cosmic string in Born-Infeld gravity
• Modified Teleparallel Gravity induced by quantum fluctuations
• Canonical Scalar Field Inflation with a Woods-Saxon Potential
• Cosmographic analysis of sign-switching dark energy
• $f(Q,T)$ gravity: From early to late-time cosmic acceleration
• Tetrad Fields, Reference Frames, and the Gravitational Energy-Momentum in the Teleparallel Equivalent of General Relativity
• Slow-roll inflation in $f(T,\mathcal{T})$ modified gravity
• Bifurcation and Global Dynamical Behavior of the $f(T)$ Theory
• Dynamical features of $f(T,B)$ cosmology
• Cosmic acceleration and phantom crossing in $f(T)$-gravity
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Thick string-like braneworlds in f(T) gravity
• f(T) Quantum Cosmology
• Spatially covariant gravity with nonmetricity
• Revisiting $f(R)$ gravity's rainbow: Inflation and primordial fluctuations
• Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms
• Cooling Process of White Dwarf Stars in Palatini $f(R)$ Gravity
• Energy Constraints and $F(T,T_G)$ Cosmology
• On the Stability of Einstein Universe in f(R,T,R_{μν}T^{μν}) Gravity
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Reconstructing $f(T)$ modified gravity from ECHDE and ECNADE models
• Bianchi Type Cosmological Models in $f(T)$ Tele-parallel Gravity
• Viscous fluid cosmology in symmetric teleparallel gravity
• Reconstructing a Model for Gravity at Large Distances from Dark Matter Density Profiles
• Holographic Ricci dark energy as running vacuum
• Matching tetrads in f(T) gravity
• Dynamical Instability of Cylindrically Symmetric Collapsing Star in Generalized Teleparallel Gravity
• Mimetic f(T) Teleparallel gravity and cosmology
• Dynamical stability of extended teleparallel gravity
• Degrees of freedom and Hamiltonian formalism for $f(T)$ gravity
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• Cosmological fluids with boundary term couplings
• Geometrically contracted structure in teleparallel $f(T)$ gravity
• Phenomenological signatures of gauge invariant theories of gravity with vectorial nonmetricity
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Generalized Teleparallel Theory
• Non-minimally coupled teleparallel scalar field reconstruction of matter bounce scenario
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Reconstruction of $f(R)$, $f(T)$ and $f(\mathcal{G})$ models inspired by variable deceleration parameter
• Teleparallel Conformal Invariant Models induced by Kaluza-Klein Reduction
• Dynamics of Mixed Dark Energy Domination in Teleparallel Gravity and Phase-Space Analysis
• Dilaton Dark Energy Model in f(R), f(T) and Horava-Lifshitz Gravities
• Stable $f(Q)$ gravity model through non-trivial connection
• Spatially Homogeneous Teleparallel Gravity: Bianchi I
• Local Lorentz transformation and exact spherically symmetric vacuum solutions in f(T) gravity theories
• Coincidence Problem in f(T) Gravity Models
• Extended Geometric Trinity of Gravity
• Spin connection and cosmological perturbations in $f(T)$ gravity
• Dynamics of a higher-dimension Einstein-Scalar-Gauss-Bonnet cosmology
• Teleparallel Geometry with a Single Affine Symmetry
• Energy Constraints for Evolving Spherical and Hyperbolic Wormholes in $f(R,T)$ Gravity
• Scalar field induced dynamical evolution in teleparallel gravity
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Scalar Field Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
• Symmetric Teleparallel Gauss-Bonnet Gravity and its Extensions
• Teleparallel gravity: Effects of torsion in 6D braneworlds
• Brane cosmology in teleparallel and $f(T)$ gravity
• Spherically symmetric solutions of light Galileon
• The issue of Branched Hamiltonian in F(T) Teleparallel Gravity
• Particle creation in flat FRW Universe in the framework of $f(T)$ gravity
• Deformed Weitzenböck Connections and Double Field Theory
• Parameterized Deceleration in $f(Q,C)$ Gravity: A Logarithmic Approach
• Energy-momentum squared symmetric Teleparallel gravity: $f(Q,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Black Hole Dynamics in Power-law based Metric $f(R)$ Gravity
• Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames
• Does Dirac-Born-Infeld Modification Of Quadratic Theories Really Matter?
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• New exact and analytic solutions in Weyl Integrable cosmology from Noether symmetry analysis
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• Degrees of Freedom in modified Teleparallel Gravity
• On the gravitational energy problem and the energy of photons
• Teleparallel gravity as a gauge theory: coupling to matter with Cartan connection
• Lovelock-Brans-Dicke gravity
• Cosmological implications of non-minimally coupled f(Q) gravity
• New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries
• Cartan approach to Teleparallel Equivalent to General Relativity: a review
• Note on Dark Energy and Cosmic Transit in a scale-invariance cosmology
• Late-time power-law stages of cosmological evolution in teleparallel gravity with nonminimal coupling
• $f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom
• Torsion and the Probability of Inflation
• Observational constraints on viscous cosmology in $f(T,L_m)$ gravity
• Phenomenological models of Universe with varying $G$ and $\Lambda$
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Teleparallel dark energy in a nonflat universe
• Symmetries of Differential equations and Applications in Relativistic Physics
• Bulk Action Growth for Holographic Complexity
• The meaning of torsion in teleparallel theories
• Teleparallel Gravity and Quintessence: The Role of Nonminimal Boundary Couplings
• Cosmological Issues in $F(T)$ Gravity Theory
• Polytropic Stars in $f(Q)=Q+\xi Q^2$ covariant formulation
• Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
• Inflation in Myrzakulov $F(R,T)$ Gravity: A Comparative Study in Metric, Symmetric Teleparallel, and Weitzenböck Formalisms
• Dynamical System Analysis for Scalar Field Potential in Teleparallel Gravity
• Properties of compact objects in quadratic non-metricity gravity
• The generalized second law of thermodynamics for the interacting in $f(T)$ gravity
• Some cosmological features of 4D Gauss-Bonnet gravity with varying cosmological constant
• Non-singular bouncing cosmology in $f(T,\mathcal{T})$ gravity with energy condition violations
• Modified Brans-Dicke cosmology with Minimum Length Uncertainty
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
• Cosmic Evolution of the Kantowski-Sachs Universe in the Context of a Bulk Viscous String in Teleparallel Gravity
• Probing Dark Energy Properties in $fQ,C)$ Gravity with FLRW Cosmological Models
• Constraints on fourth order gravity from binary pulsar and gravitational waves
• Cosmological Evolution of Viscous Dark Energy in f(Q,C) Gravity: Two-Fluid Approach
• Role of Future SNIa Data from Rubin LSST in Reinvestigating Cosmological Models
• Non-commutative and commutative vacua effects in a scalar torsion scenario
• Action functional of the Cardassian universe
• Domain Wall and Holographic Dark Energy in $f(Q)$ Theory of Gravity
• Gauge invariant perturbations in teleparallel Horndeski gravity
• On black holes in teleparallel torsion theories of gravity
• Linear Perturbations and Stability Analysis in $f(T)$ Braneworld Scenario
• $F(\varphi )T$-Gravity and Inflationary Natural Model
• Qualitative behaviour of higher-curvature gravity with boundary terms i.e the f(Q) gravity models by dynamical system analysis
• D=11 cosmologies with teleparallel structure
• Contemplating the fate of modified gravity
• Distinctive Features of Hairy Black Holes in Teleparallel Gauss-Bonnet Gravity
• Chronology protection in $f(T)$ gravity: the case of Gott's pair of moving cosmic strings
• Role of the remnant symmetries in gravitational theories based on absolute parallelism: a 2D standpoint
• Axially Symmetric Shear-free Fluids in $f(R,T)$ Gravity
• Observational Restrictions and Slow-Roll D-brane Inflation in the Special $F(\varphi ,T)$ Gravity
• Rotating cosmological cylindrical wormholes in GR and TEGR sourced by anisotropic fluids
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
• Can an Extra Degree of Freedom in Scalar-Tensor Non-Metricity Gravity Account for the Evolution of the Universe?
• The possibility of a stable flat dark energy-dominated Swiss-cheese Brane-world universe with a deceleration-acceleration transition
• Mass and angular momentum for the Kerr black hole in TEGR and STEGR
• Classical and quantum cosmology in $f(T)$-gravity theory: A Noether symmetry approach
• Thick branes in Born-Infeld determinantal gravity in Weitzenböck spacetime
• A non-singular closed bouncing universe without violation of null energy condition
• Weak Gravity Limit in Newer General Relativity
• Scalar Field Static Spherically Symmetric Solutions in Teleparallel $F(T)$ Gravity
• Deformed Weitzenböck Connections and Teleparallel Gravity
• Quintessence dark energy model in non-linear $f(Q)$ theory with bulk-viscosity
• On black holes in new general relativity
• Dark Energy Behavior from Static Equation of State in Non-Minimally Coupled Gravity with Scalar Deformation
• Revisited apparent horizon entropy and GSL in modified gravity
• Teleparallel Poincaré Cosmology and $\Lambda$CDM Model
• Cosmological Constraints on f(T,B) Gravity from Observations of Early and Late Universe
• Precision Cosmology in Modified and Extended Theories of Gravity: an insightful test
• Tensor stability in Born-Infeld determinantal gravity
• Local symmetries in $f(T)$-like models: lessons from 2D
• Stability of Differentially Rotating Disks in $f(T)$ Theory
• Accelerating Kaluza-Klein Universe in Modified Theory of Gravitation
• Gauge invariant perturbations of $F(T,T_G)$ Cosmology
• Global portraits of nonminimal teleparallel inflation
• Comparative Study of $f(T)$ Gravity Models with Observational Constraints from \textit{OHD} and \textit{Pantheon+ datasets}
• Conceptual and Geometric Foundations for a Teleparallel Approach to Quantum Gravity
• Translation gauge field theory of gravity in Minkowski spacetime
• Electromagnetic Sources Teleparallel Robertson--Walker $F(T)$-Gravity Solutions
• Chaplygin and Polytropic gases Teleparallel Robertson-Walker $F(T)$ gravity solutions
• Reconciling the ACT Preference in $f(T)$ Gravity: Inflation and Reheating Constraints
• More on Bianchi I spacetimes and f(T) gravity
• Is Dark Energy an Effective Manifestation of Non-equilibrium Thermodynamics? -- Insights from DESI
• Quantum cosmology in teleparallel gravity with a boundary term
• Cylindrically symmetric static $n$-dimensional (un)charged (anti-)de Sitter black holes in generic $f(T)$ gravity
• Inflation from a generalized exponential plateau: towards extra suppressed tensor-to-scalar ratios
• Insights in $f(Q)$ cosmology: the relevance of the connection
• Ultra-high energy cosmic rays with UFA-15 source model in Bumblebee gravity theory
• $f(T,B)$ cosmography for high redshifts
• $O(d,d)$ symmetry in teleparallel dark energy
• Black holes solutions in power-law Maxwell-$f(T)$ gravity in diverse dimensions
• Quantum Cosmology in $f(Q)$ theory
• A local quantum Mach principle and the metricity of spacetime
• Modified Gravity Framework for the Woods-Saxon Inflation: Theoretical Foundations and Observational Constraints
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity
• Gravity with Perimeter Action and Gravitational Singularities
• Growth factor in teleparallel Gauss-Bonnet gravity
• Late-Time Cosmic Acceleration in Ricci-Gauss-Bonnet Gravity via Gradient Descent Optimization