arXiv 2004.120602020-04gr-qcastro-ph.CO

从能量条件约束$f(T,B)$遥平行引力

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

Snehasish Bhattacharjee

备注：: Accepted in New Astronomy
发表信息：: New Astronomy 83, 101495 (2021)
DOI：: 10.1016/j.newast.2020.101495

摘要：

$f(T,B)$遥平行引力是最近提出的一个简单的推广流行的$f(T)$遥平行引力通过纳入一个边界项$B=\frac{2}{e}\partial_{i}(e T ^{i}) = \bigtriangledown_{i}T^{i}$其中$T$表示扭转标量\cite{ftb13}。在这项工作中，我调查了一些良好的动机$f(T,B)$远程平行重力模型的形式$f=αB^n+βT^m$，$f=αB^n T^m$和$f=α\log (B)+βT$，其中$α, β, n$和$m$是自由参数的弱能量条件下施加的不等式的可行性。我使用最近的估计哈勃，减速，挺举和管理单元参数在寻找角落的参数空间的宇宙学模型的能量密度仍然是积极的和弱能量的条件（即，$ρ+p \geq 0$，其中$p$和$ρ$分别表示宇宙压力和能量密度）达到微小的正值，因为这意味着EoS参数$ω= p/ρ\simeq-1$，因此与加速宇宙相一致。

英文摘要：

$f(T,B)$ teleparallel gravity is a recently proposed straightforward generalization of the popular $f(T)$ teleparallel gravity by the incorporation of a boundary term $B=\frac{2}{e}\partial_{i}(e T ^{i}) = \bigtriangledown_{i}T^{i}$ where $T$ denote the torsion scalar \cite{ftb13}. In this work, I investigate the viability of some well motivated $f(T,B)$ teleparallel gravity models of the forms $f=αB^n+βT^m$, $f=αB^n T^m$ and $f=α\log (B)+βT$ where $α, β, n$ and $m$ 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, $ρ+p \geq 0$, where $p$ and $ρ$ represent respectively the cosmological pressure and energy density) attains a minute positive value, as this implies the EoS parameter $ω= p/ρ\simeq-1$ and therefore consistent with an accelerating universe.

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