Primordial Fluctuations within Teleparallelism

Abstract

We study the cosmological perturbations for the possible inflation scenario in the teleparallel equivalence of general relativity specified with parallelizable topological conditions. By acquiring the identical physical observables to general relativity under the teleparallel formalism, we perform a 3+1 decomposition of the vierbein field, which can be interpreted as the time gauge fixing between coordinate and tangent frames. We also extend our discussion to the higher-order action, $f(T)$ gravity.

17 pages, no figure, revised version accepted by PRD

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Cited by in corpus (64)

• f(T) teleparallel gravity and cosmology
• The covariant formulation of f(T) gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• $f(T,\mathcal{T})$ gravity and cosmology
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Solar system constraints on f(T) gravity
• Phase-Space analysis of Teleparallel Dark Energy
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Viable f(T) models are practically indistinguishable from LCDM
• Thermodynamics of cosmological horizons in $f(T)$ gravity
• Dynamical behavior in $f(T,T_G)$ cosmology
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Cosmological applications of $F(T,T_G)$ gravity
• No further gravitational wave modes in $F(T)$ gravity
• $f(T)$ gravity after GW170817 and GRB170817A
• Model-independent reconstruction of $f(T)$ gravity from Gaussian Processes
• Cosmological Perturbation in f(T) Gravity Revisited
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Bayesian analysis of $f(T)$ gravity using $f{\sigma }_8$ data
• Dynamical features of scalar-torsion theories
• New observational constraints on $f(T)$ gravity through gravitational-wave astronomy
• Stable and self-consistent compact star models in teleparallel gravity
• Einstein Static Universe in Exponential $f(T)$ Gravity
• $f(T)$ gravitational baryogenesis
• Energy conditions in $F(T,\Theta )$ gravity and compatibility with a stable de Sitter solution
• The effective field theory approach of teleparallel gravity, $f(T)$ gravity and beyond
• Rotating AdS black holes in Maxwell-$f(T)$ gravity
• Observational Constraints on $f(T)$ gravity from varying fundamental constants
• Updated constraints on $f(T)$ models using direct and indirect measurements of the Hubble parameter
• Gravitational waves in modified teleparallel theories of gravity
• FRW in quadratic form of $f(T)$ gravitational theories
• Reconstruction, Thermodynamics and Stability of $\Lambda$CDM Model in $f(T,\mathcal{T})$ Gravity
• Junction conditions in extended Teleparallel gravities
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• Analytic rotating black hole solutions in $N$-dimensional $f(T)$ gravity
• Geodesic Deviation Equation in $f(T)$ gravity
• Higgs inflation and teleparallel gravity
• Modified teleparallel gravity with higher-derivative torsion terms
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Density Perturbation Growth in Teleparallel Cosmology
• Thermodynamic properties of modified gravity theories
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Slow-roll inflation in generalized scalar-torsion gravity
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Black-Bounce in $f(T)$ Gravity
• Role of spacetime boundaries in Einstein's other gravity
• Non-minimal Coupling of Torsion-matter Satisfying Null Energy Condition for Wormhole Solutions
• Spherical collapse model and cluster number counts in power law $f(T)$ gravity
• Primordial black holes and gravitational waves in teleparallel Gravity
• Violation of causality in $f(T)$ gravity
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Inflation with teleparallelism: Can torsion generate primordial fluctuations without local Lorentz symmetry?
• Reheating in a modified teleparallel model of inflation
• Perturbations of bounce inflation scenario from $f(T)$ modified gravity revisited
• Evaporation phenomena in f(T) gravity
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• Variational Problem and Bigravity Nature of Modified Teleparallel Theories
• f(T) Quantum Cosmology
• Braneworld setup and embedding in teleparallel gravity
• Generalized Teleparallel Theory