Cosmological Perturbation in f(T) Gravity Revisited

Abstract

We perform detailed investigation of cosmological perturbations in f(T) theory of gravity coupled with scalar field. Our work emphasizes on the way to gauge fix the theory and we examine all possible modes of perturbations up to second order. The analysis includes pseudoscalar and pseudovector modes in addition to the usual scalar, vector, and tensor modes. We find no gravitational propagating degree of freedom in the scalar, pseudoscalar, vector, as well as pseudovector modes. In addition, we find that the scalar and tensor perturbations have exactly the same form as their counterparts in usual general relativity with scalar field, except that the factor of reduced Planck mass squared $M_{\text{pl}}^2\equiv 1/(8\pi G)$ that occurs in the latter has now been replaced by an effective time-dependentgravitational coupling $-2(df/dT){|}_{T=T_0}$, with $T_0$ being the background torsion scalar. The absence of extra degrees of freedom of f(T) gravity at second order linear perturbation indicates that f(T) gravity is highly nonlinear. Consequently one cannot conclusively analyze stability of the theory without performing nonlinear analysis that can reveal the propagation of the extra degrees of freedom.

Final version, with improvement on the writing, as well as correction to some typos

References in corpus (10)

• Resummation of Massive Gravity
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Cosmological perturbations in f(T) gravity
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Degrees of freedom of $f(T)$ gravity
• Anisotropic Universe Models in f(T) Gravity
• Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity

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