On existence of matter outside a static black hole

Details On existence of matter outside a static black hole On existence of matter outside a static black hole

2006-05-05

arxiv.org/abs/gr-qc/0605029v3

J.Math.Phys.47:112502,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4pages, final version accepted for publication in Journal of Mathematical Physics

Scientific paper

10.1063/1.2383009

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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