Power-law solutions in $f(T)$ gravity

Abstract

We have considered an action of the form $T+f(T)+L_m$ describing Einstein's gravity plus a function of the torsion scalar. By considering an exact power-law solution we have obtained the Friedmann equation as a differential equation for the function $f(T)$ in spatially flat universe and obtained the real valued solutions of this equation for some power-law solutions. We have also studied the power-law solutions when the universe enters a Phantom phase and shown that such solutions may exist for some f(T) solutions.

8 pages, minor revision

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Cited by in corpus (14)

• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• The Spherically Symmetric Vacuum in Covariant $F(T)=T+\frac{\alpha }{2}{T}^2+\mathcal{O}(T^{\gamma })$ Gravity Theory
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling
• Scalar perturbations in $f(T)$ gravity using the $1+3$ covariant approach
• Nonlinear Electrodynamics in $f(T)$ Gravity and Generalized Second Law of Thermodynamics
• Planar Symmetry in f(T) gravity
• Cosmological models in $f(T,\mathcal{T})$ gravity and the dynamical system analysis
• Quintessential power-law cosmology: dark energy equation of state
• Cosmic evolution in f(T) gravity theory
• On spherically symmetric vacuum solutions and horizons in covariant $f(T)$ gravity theory
• Tachyonic (phantom) power-law cosmology
• Reconstruction of $f(R)$, $f(T)$ and $f(\mathcal{G})$ models inspired by variable deceleration parameter
• Particle creation in flat FRW Universe in the framework of $f(T)$ gravity