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arXiv 1208.6327astro-ph.COgr-qc
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Rastall宇宙学的观测限制

Observational constraints on Rastall's cosmology

C. E. M. Batista, J. C. Fabris, O. F. Piattella, A. M. Velasquez-Toribio

摘要:

拉斯特尔的理论是广义相对论的修正,基于应力-能量张量的不守恒。后者被编码在参数$γ$中,使得$γ= 1$恢复通常的$\nabla_νT^{μν} = 0$定律。我们测试Rastall的理论在宇宙学中,平坦的罗伯逊-沃克度量,调查两种流体模型,并使用Ia型超新星宪法数据集。其中一种流体是无压的,并遵守通常的守恒定律,而另一种流体则由状态方程$p_x = w_xρ_x$描述,其中$w_x$为常数。本构集的贝叶斯分析不严格约束参数$γ$,并且优选接近-1的$w_x$的值。然后,我们讨论了小扰动的演化,并表明如果$w_x \neq -1$和$γ\neq 1$(即广义相对论是有利的配置),它们将非常不稳定。唯一的替代方案是$w_x = -1$,其动力学变得独立于$γ$。

英文摘要:

Rastall's theory is a modification of General Relativity, based on the non-conservation of the stress-energy tensor. The latter is encoded in a parameter $γ$ such that $γ= 1$ restores the usual $\nabla_νT^{μν} = 0$ law. We test Rastall's theory in cosmology, on a flat Robertson-Walker metric, investigating a two-fluid model and using the type Ia supernovae Constitution dataset. One of the fluids is pressureless and obeys the usual conservation law, whereas the other is described by an equation of state $p_x = w_xρ_x$, with $w_x$ constant. The Bayesian analysis of the Constitution set does not strictly constrain the parameter $γ$ and prefers values of $w_x$ close to -1. We then address the evolution of small perturbations and show that they are dramatically unstable if $w_x \neq -1$ and $γ\neq 1$, i.e. General Relativity is the favored configuration. The only alternative is $w_x = -1$, for which the dynamics becomes independent from $γ$.

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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