In this paper, the higher-dimensional collapse of homogeneous isotropic perfect fluid is studied by considering the geometry of five-dimensional spherically symmetric metric. Using equations of state for different fields like dust, radiation and stiff fluid with and without cosmological constant Λ, the gravitational collapse is studied. The results are compared with the usual four-dimensional study in [A. V. Astashenok, K. Mosani, S. D. Odintsov and G. C. Samanta, Int. J. Geom. Methods Mod. Phys. 16, 1950035 (2019)]. It is found that the collapse rate is faster in five-dimensional spacetime as compared to four-dimensional case supporting the cosmic censorship hypothesis.

中文翻译：

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五维球对称时空中的均匀完美流体坍缩

本文通过考虑五维球对称度量的几何学，研究了均质各向同性完美流体的高维坍缩。在有和没有宇宙学常数的情况下使用不同领域的状态方程，如尘埃、辐射和刚性流体Λ，研究了引力坍缩。将结果与 [AV Astashenok, K. Mosani, SD Odintsov 和 GC Samanta,诠释。J.几何。方法国防部。物理。 16, 1950035 (2019)]。发现与支持宇宙审查假设的四维情况相比，五维时空的坍缩速度更快。