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arXiv 2405.09271gr-qchep-th
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带与不带宇宙学常数的高维Rastall引力中的引力坍缩

Gravitational Collapse in Higher-Dimensional Rastall Gravity with and without Cosmological Constant

Golfin Ekatria, Andy Octavian Latief, Fiki Taufik Akbar, Bobby Eka Gunara

AI总结:

本文研究了高维Rastall引力中完美流体的引力坍缩,发现随维度增加裸奇点形成概率降低,非零宇宙学常数下存在三角和指数两种解,且三角解可能导致观测者误判黑洞形成。

摘要:

我们在高维Rastall引力框架下,考虑了在宇宙学常数为零和非零的情况下,球对称均匀完美流体向奇点进行的引力坍缩。在任何有限维度中,坍缩的可能最终状态是黑洞和裸奇点,但随着维度的增加,裸奇点的形成变得不那么有利。我们发现,在非零宇宙学常数的情况下,坍缩演化有两种物理上截然不同的解:三角函数解和指数解。当宇宙学常数的量级增加时,前者的流体有效能量密度减小(后者的增加),这意味着前者比后者经历更慢的坍缩。此外,我们发现仅在裸奇点区域中的三角函数解情况下,才可能出现临时捕获面。因此,观测时间短于坍缩持续时间的遥远观测者可能会得出结论认为形成了黑洞,尽管坍缩最终将导致裸奇点的形成。

英文摘要:

We consider a spherically symmetric homogeneous perfect fluid undergoing a gravitational collapse to singularity in the framework of higher-dimensional Rastall gravity in the cases of vanishing and nonvanishing cosmological constants. The possible final states of the collapse in any finite dimension are black hole and naked singularity, but the naked singularity formation becomes less favored when the dimension is increased. We find that there are two physically distinct solutions for the collapse evolution in the case of nonzero cosmological constant: trigonometric and exponential solutions. The effective energy density of the fluid is decreasing (increasing) in the former (latter) when the magnitude of the cosmological constant is increased, which implies that the former undergoes a slower collapse than the latter. Furthermore, we find that a temporary trapped surface is possible to emerge in the case of trigonometric solution in the naked singularity region only. Therefore, distant observers with observational time shorter than the collapse duration may conclude that a black hole is formed, although the collapse will eventually lead to a naked singularity formation.

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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