On existence of matter outside a static black hole
General Relativity and Quantum Cosmology
2008-11-26 v3 Astrophysics
Differential Geometry
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.
Cite
@article{arxiv.gr-qc/0605029,
title = {On existence of matter outside a static black hole},
author = {Tetsuya Shiromizu and Sumio Yamada and Hirotaka Yoshino},
journal= {arXiv preprint arXiv:gr-qc/0605029},
year = {2008}
}
Comments
4pages, final version accepted for publication in Journal of Mathematical Physics