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

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arxiv gr-qc/0202003 v1 pith:HFSHVPFG submitted 2002-02-01 gr-qc

Marc Mars , M.M. Martin-Prats , Jose M.M. Senovilla This is my paper · ORCID
classification gr-qc
keywords containresultspacetimessphericallystaticsymmetricwhenallowed
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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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  1. Beyond Buchdahl's limit: bilayered stars and thin-shell configurations

    gr-qc 2024-11 conditional novelty 6.0 of 10

    Explicit bilayered and thin-shell GR models show that relaxing monotonic density or isotropy lets compactness approach Bondi's bound or even the black hole limit.

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