English

Constraining $f(T,B)$ teleparallel gravity from energy conditions

General Relativity and Quantum Cosmology 2020-08-25 v2 Cosmology and Nongalactic Astrophysics

Abstract

f(T,B)f(T,B) teleparallel gravity is a recently proposed straightforward generalization of the popular f(T)f(T) teleparallel gravity by the incorporation of a boundary term B=2ei(eTi)=iTiB=\frac{2}{e}\partial_{i}(e T ^{i}) = \bigtriangledown_{i}T^{i} where TT denote the torsion scalar \cite{ftb13}. In this work, I investigate the viability of some well motivated f(T,B)f(T,B) teleparallel gravity models of the forms f=αBn+βTmf=\alpha B^n+\beta T^m, f=αBnTmf=\alpha B^n T^m and f=αlog(B)+βTf=\alpha \log (B)+\beta T where α,β,n\alpha, \beta, n and mm are free parameters from the inequalities imposed the the weak energy condition. I use the recent estimates of Hubble, deceleration, jerk and snap parameters in finding corners in parameter spaces for the cosmological models for which the energy density remain positive and the weak energy condition ( i.e, ρ+p0\rho+p \geq 0, where pp and ρ\rho represent respectively the cosmological pressure and energy density) attains a minute positive value, as this implies the EoS parameter ω=p/ρ1\omega = p/\rho \simeq-1 and therefore consistent with an accelerating universe.

Keywords

Cite

@article{arxiv.2004.12060,
  title  = {Constraining $f(T,B)$ teleparallel gravity from energy conditions},
  author = {Snehasish Bhattacharjee},
  journal= {arXiv preprint arXiv:2004.12060},
  year   = {2020}
}

Comments

Accepted in New Astronomy

R2 v1 2026-06-23T15:05:26.573Z