Cosmological perturbations in modified teleparallel gravity models

Abstract

Cosmological perturbations are considered in $f(T)$ and in scalar-torsion $f(\phi )T$ teleparallel models of gravity. Full sets of linear perturbation equations are accurately derived and analysed at the relevant limits. Interesting features of generalisations to other teleparallel models, spatially curved backgrounds, and rotated tetrads are pointed out.

18 pages without figures. v2: added references

References in corpus (20)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Coincident General Relativity
• On Born-Infeld Gravity in Weitzenbock spacetime
• A Critical Review of Classical Bouncing Cosmologies
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Good and bad tetrads in f(T) gravity
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• Covariant formulation of scalar-torsion gravity
• $f(T)$ gravity after GW170817 and GRB170817A
• New classes of modified teleparallel gravity models
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Hamiltonian formalism for f(T) gravity
• Remnant group of local Lorentz transformations in f(T) theories
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• The effective field theory approach of teleparallel gravity, $f(T)$ gravity and beyond
• Cosmological bouncing solutions in extended teleparallel gravity theories
• On an integrable geometrical foundation of gravity
• McVittie solution in f(T) gravity

Cited by in corpus (110)

• Cosmology in $f(Q)$ geometry
• Teleparallel Gravity: From Theory to Cosmology
• $f(Q,T)$ gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Signatures of $f(Q)$-gravity in cosmology
• Weyl type $f(Q,T)$ gravity, and its cosmological implications
• Modified teleparallel theories of gravity in symmetric spacetimes
• Matter Bounce Scenario and the Dynamical aspects in f(Q,T) Gravity
• Slow-roll inflation in $f(Q)$ non-metric gravity
• Dynamical Stability Analysis of Accelerating f(T) Gravity Models
• Photon sphere and perihelion shift in weak $f(T)$ gravity
• Isotropization of locally rotationally symmetric Bianchi-I universe in $f(Q)$-gravity
• Updating constraints on f(T) teleparallel cosmology and the consistency with Big Bang Nucleosynthesis
• A simple parity violating gravity model without ghost instability
• Gaussian processes and effective field theory of $f(T)$ gravity under the $H_0$ tension
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• Can $f(T)$ gravity resolve the $H_0$ tension?
• Foundational issues in f(T) gravity theory
• On the viability of $f(Q)$ gravity models
• Quest for the extra degree of freedom in f(T) gravity
• Review of the Hamiltonian analysis in teleparallel gravity
• Minkowski space in $f(T)$ gravity
• Model parameters in the context of late time cosmic acceleration in $f(Q,T)$ gravity
• Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data
• Accelerating expansion of the universe in modified symmetric teleparallel gravity
• Forecast constraints on $f(T)$ gravity with gravitational waves from compact binary coalescences
• Non-trivial Minkowski backgrounds in f(T) gravity
• Homogeneous and isotropic cosmology in general teleparallel gravity
• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• Non-Linear Obstructions for Consistent New General Relativity
• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Higgs inflation and teleparallel gravity
• Approaches to spherically symmetric solutions in f(T) gravity
• Cosmological perturbations in modified teleparallel gravity models: Boundary term extension
• Scalar perturbations in $f(T)$ gravity using the $1+3$ covariant approach
• Reflections on the covariance of modified teleparallel theories of gravity
• Parameterized post-Newtonian limit of general teleparallel gravity theories
• Toward a concordance teleparallel Cosmology I: Background Dynamics
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Dirac-Bergmann analysis and Degrees of Freedom of Coincident $f(Q)$-gravity
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Slow-roll inflation in generalized scalar-torsion gravity
• Complete classification of cosmological teleparallel geometries
• Exploring late-time cosmic acceleration: A study of a linear $f(T)$ cosmological model using observational data
• Pseudoinvariance and the extra degree of freedom in f(T) gravity
• General cosmological perturbations in teleparallel gravity
• New cosmological constraints on $f(T)$ gravity in light of full Planck-CMB and type Ia supernovae data
• Toward a concordance teleparallel Cosmology II: Linear perturbation
• 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
• Lorentz symmetries and primary constraints in covariant teleparallel gravity
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Bounce Models within Teleparallel modified gravity
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• Teleparallel gravity
• Perturbations in f(T) cosmology and the spin connection
• Thick accretion disk configurations in the Born-Infeld teleparallel gravity
• The classical and quantum implications of the Raychaudhuri Equation in f(T)-gravity
• Cosmic evolution in f(T) gravity theory
• Stability of non-degenerate Ricci-type Palatini theories
• $f(Q,L_m)$ gravity, and its cosmological implications
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Disformal transformations in modified teleparallel gravity
• Perturbations of bounce inflation scenario from $f(T)$ modified gravity revisited
• Addressing Cosmological Tensions by Non-Local Gravity
• Unexplored regions in teleparallel $f(T)$ gravity: Sign-changing dark energy density
• On the role of constraints and degrees of freedom in the Hamiltonian formalism
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• Growth of structures using redshift space distortion in $f(T)$ Cosmology
• Phase-space analysis of dark energy models in non-minimally coupled theories of gravity
• Cosmic Growth in $f(T)$ Teleparallel Gravity
• The geometrical meaning of the Weitzenböck connection
• Scalar induced gravitational waves in metric teleparallel gravity with the Nieh-Yan term
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• General Teleparallel Modifications of Schwarzschild Geometry
• Bulk viscous cosmological model in $f(T,\mathcal{T})$ modified gravity
• A geometric view on local Lorentz transformations in teleparallel gravity
• Scale-invariant cosmology in de Sitter gauge theory
• On the degrees of freedom count on singular phase space submanifolds
• Bianchi I cosmological solutions in teleparallel gravity
• Cosmological perturbations in gravitational energy-momentum complex
• Gravitational Waves in New General Relativity
• Teleparallel bigravity
• Spinor Walls in Five-Dimensional Warped Spacetime
• Modified Teleparallel $f(T)$ Gravity, DESI BAO and the $H_0$ Tension
• Spin connection and cosmological perturbations in $f(T)$ gravity
• Conformal Transformations and Cosmological Perturbations in New General Relativity
• Degrees of Freedom in modified Teleparallel Gravity
• Teleparallel dark energy in a nonflat universe
• Quartic Horndeski-Cartan theories in a FLRW universe
• Reconstructing modified and alternative theories of gravity
• Teleparallel Minkowski Spacetime with Perturbative Approach for Teleparallel Gravity on a Proper Frame
• $f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom
• Noether's second theorem in teleparallel gravity
• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• Local Limit of Nonlocal Gravity: Cosmological Perturbations
• The scalar-torsion gravity corrections in the first-order inflationary models
• D=11 cosmologies with teleparallel structure
• Phase space structure of symmetric teleparallel theory of gravity
• Vulnerability of f(Q) gravity theory and a possible resolution
• Foliation-generating observers under Lorentz transformations
• Spin connection and cosmological perturbations in scalar-torsion gravity
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• Post-Newtonian limit of generalized scalar-teleparallel theories of gravity
• Global portraits of nonminimal teleparallel inflation
• More on Bianchi I spacetimes and f(T) gravity
• Noether currents in theories with higher derivatives and theories with differential field transformation in action (DFTA)