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arXiv 1405.0519gr-qcastro-ph.COhep-th
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$f(T,\mathcal{T})$引力与宇宙学

$f(T,\mathcal{T})$ gravity and cosmology

Tiberiu Harko, Francisco S. N. Lobo, G. Otalora, Emmanuel N. Saridakis

摘要:

我们提出了一个扩展的$f(T)$引力,允许一般耦合的扭转标量$T$与物质能量动量张量的轨迹$\mathcal{T}$。由此产生的$f(T,\mathcal{T})$理论是一个新的修正引力,因为它不同于所有现有的扭转或曲率为基础的建设。应用于宇宙学框架,它导致有趣的现象学。特别是,人们可以得到一个统一的描述,最初的暴胀阶段,随后的非加速,物质主导的膨胀,然后过渡到后期的加速阶段。此外,有效的暗能量扇区可以是精粹或幻影状,或者在演化过程中表现出幻影分界线的交叉。此外,在遥远的未来,宇宙要么会导致德西特指数膨胀,要么会导致永恒的幂律加速膨胀。最后,在线性水平上的标量扰动的详细研究表明,$f(T,\mathcal{T})$宇宙学可以免费的鬼和不稳定性的一个广泛的类ansatzes和模型参数。

英文摘要:

We present an extension of $f(T)$ gravity, allowing for a general coupling of the torsion scalar $T$ with the trace of the matter energy-momentum tensor $\mathcal{T}$. The resulting $f(T,\mathcal{T})$ theory is a new modified gravity, since it is different from all the existing torsion or curvature based constructions. Applied to a cosmological framework, it leads to interesting phenomenology. In particular, one can obtain a unified description of the initial inflationary phase, the subsequent non-accelerating, matter-dominated expansion, and then the transition to a late-time accelerating phase. Additionally, the effective dark energy sector can be quintessence or phantom-like, or exhibit the phantom-divide crossing during the evolution. Moreover, in the far future the universe results either to a de Sitter exponential expansion, or to eternal power-law accelerated expansions. Finally, a detailed study of the scalar perturbations at the linear level reveals that $f(T,\mathcal{T})$ cosmology can be free of ghosts and instabilities for a wide class of ansatzes and model parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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