The 2m <= r property of spherically symmetric static spacetimes
General Relativity and Quantum Cosmology
2009-11-07 v1
Abstract
We prove that all spherically symmetric static spacetimes which are both regular at r=0 and satisfying the single energy condition rho + p_r + p_t >= 0 cannot contain any black hole region (equivalently, they must satisfy 2m/r <= 1 everywhere). This result holds even when the spacetime is allowed to contain a finite number of matching hypersurfaces. This theorem generalizes a result by Baumgarte and Rendall when the matter contents of the space-time is a perfect fluid and also complements their results in the general non-isotropic case.
Keywords
Cite
@article{arxiv.gr-qc/0202003,
title = {The 2m <= r property of spherically symmetric static spacetimes},
author = {Marc Mars and M. M. Martin-Prats and Jose M. M. Senovilla},
journal= {arXiv preprint arXiv:gr-qc/0202003},
year = {2009}
}
Comments
Latex, no figures