Energy Constraints and $F(T,T_G)$ Cosmology

Abstract

The present paper is elaborated to discuss the energy condition bounds in a modified teleparallel gravity namely $F(T,T_G)$, involving torsion invariant $T$ and contribution from a term $T_G$, the teleparallel equivalent of the Gauss-Bonnet term. For this purpose, we consider flat FRW universe with matter contents as perfect fluid. We formulate the SEC, NEC, WEC and DEC in terms of some cosmic parameters including Hubble, deceleration, jerk and snap parameters. By taking two interesting models for $F(T,T_G)$ and some recent limits of these cosmic parameters, we explore the constraints on the free parameters present in both assumed models. We also discuss these constraints graphically in terms of cosmic time by taking power law cosmology into account.

24 pages, 11 figures

References in corpus (11)

• f(R,T) gravity
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• The teleparallel equivalent of general relativity
• Dark Energy and Gravity
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Fourth order Weyl gravity
• Energy conditions in f(R) gravity and Brans-Dicke theories
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling

Cited by in corpus (6)

• Cosmological viable models in $f(T,B)$ gravity as solutions to the $H_0$ tension
• Energy Constraints and Phenomenon of Cosmic Evolution in $f(T,B)$ Framework
• Cosmological reconstruction and energy bounds in $f(R,R_{\alpha \beta }{R}^{\alpha \beta },\varphi )$ gravity
• Hyperscaling violating black holes in scalar-torsion theories
• Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms
• Cosmological Analysis of Reconstructed $\mathcal{F}(T,T_{\mathcal{G}})$ Models