Energy Constraints and $F(T,T_{G})$ Cosmology

TL;DR

This paper investigates energy condition bounds within $F(T,T_{G})$ gravity, analyzing two models using cosmic parameters to constrain free parameters and exploring implications for cosmological evolution.

Contribution

It introduces constraints on $F(T,T_{G})$ gravity models using energy conditions and cosmic parameters, providing new insights into modified teleparallel cosmology.

Findings

Constraints on model parameters derived from energy conditions.

Graphical analysis of constraints over cosmic time.

Implications for power law 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.