On existence of matter outside a static black hole

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

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General Relativity and Quantum Cosmology, Astrophysics, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/195810

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0605029
 http://arxiv.org/abs/gr-qc/0605029
 J.Math.Phys.47:112502,2006
 doi:10.1063/1.2383009

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arXiv