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On existence of matter outside a static black hole

Tetsuya Shiromizu·Sumio Yamada·Hirotaka Yoshino
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Abstract

It is expected that matter composed of a perfect fluid cannot be at rest outside of a black hole if the spacetime is asymptotically flat and static (non-rotating). However, there has not been a rigorous proof for this expectation without assuming spheical symmetry. In this paper, we provide a proof of non-existence of matter composed of a perfect fluid in static black hole spacetimes under certain conditions, which can be interpreted as a relation between the stellar mass and the black hole mass.

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Tetsuya Shiromizu, Sumio Yamada, Hirotaka Yoshino. 2006-10-05. On existence of matter outside a static black hole. https://doi.org/10.1063/1.2383009

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