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The 2m <= r property of spherically symmetric static spacetimes

Marc Mars·M. M. Martin-Prats·Jose M. M. Senovilla
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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.

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Marc Mars, M. M. Martin-Prats, Jose M. M. Senovilla. 2002-02-01. The 2m <= r property of spherically symmetric static spacetimes. https://doi.org/10.1016/0375-9601(96)00391-x

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