arXiv 1801.019932018-01gr-qc

$(2+1)$维Eddington激发的Born-Infeld引力中的引力坍缩

Gravitational collapse in $(2+1)$-dimensional Eddington-inspired Born-Infeld gravity

Rajibul Shaikh, Pankaj S. Joshi

备注：: 16 pages, 3 figures, revised version, published in Phys. Rev. D
发表信息：: Phys. Rev. D 98, 024033 (2018)
DOI：: 10.1103/PhysRevD.98.024033

摘要：

本文研究了$(2+1)$维时空中尘埃的引力坍缩，并在修正的引力理论中，讨论了宇宙学常数为零的情况下，黑洞（BH）和裸奇点（NS）作为最终态的形成。从宇宙监督的角度出发，研究了Eddington激发的Born-Infeld引力（EiBI）中尘埃云的坍缩，并与广义相对论（GR）的结果进行了比较.事实证明，与广义相对论情况相反，在广义相对论情况下，$(2+1)$维度的尘埃坍缩的结果总是一个裸奇点，EiBI理论有一定范围的参数值，可以避免裸奇点。这表明这些结果的$(3+1)$维推广可能是有用的，值得研究。最后，利用这里的结果，我们证明了在这种修正的引力中，通过宇宙学中的均匀反弹来避免奇异性是不稳定的。

英文摘要：

We study here the gravitational collapse of dust in $(2+1)$-dimensional spacetimes for the formation of black holes (BH) and naked singularities (NS) as final states in a modified theory of gravity, with vanishing cosmological constant. From the perspective of cosmic censorship, we investigate the collapse of a dust cloud in Eddington-inspired Born-Infeld gravity (EiBI) and compare the results with those of general relativity (GR). It turns out that, as opposed to the general relativistic situation, where the outcome of dust collapse in $(2+1)$ dimensions is always a naked singularity, the EiBI theory has a certain range of parameter values that avoid the naked singularity. This indicates that a $(3+1)$-dimensional generalization of these results could be useful and worth examining. Finally, using the results here, we show that the singularity avoidance through homogeneous bounce in cosmology in this modified gravity is not stable.

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英文摘要：

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