On existence of matter outside a static black hole
arXiv:gr-qc/0605029 · doi:10.1063/1.2383009
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.
arXiv comment4pages, final version accepted for publication in Journal of Mathematical Physics