No further gravitational wave modes in $F(T)$ gravity

Abstract

We explore the possibility of further gravitational wave modes in $F(T)$ gravity, where $T$ is the torsion scalar in teleparallelism. It is explicitly demonstrated that gravitational wave modes in $F(T)$ gravity are equivalent to those in General Relativity. This result is achieved by calculating the Minkowskian limit for a class of analytic function of $F(T)$. This consequence is also confirmed by the preservative analysis around the flat background in the weak field limit with the scalar-tensor representation of $F(T)$ gravity.

7 pages, no figure, version accepted for publication in Physics Letters B

References in corpus (24)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Extra force in $f(R)$ modified theories of gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• The Newtonian Limit of F(R) gravity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• $f(T)$ models with phantom divide line crossing
• Degrees of freedom of $f(T)$ gravity
• Conformal transformation in $f(T)$ theories
• Attractor Solutions in f(T) Cosmology
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Singularity Problem in Teleparallel Dark Energy Models
• Generalized Teleparallel Gravity Via Some Scalar Field Dark Energy Models

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