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Buchdahl type inequalities in $d$-dimensions

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arxiv 1506.02858 v3 pith:OCORNYWE submitted 2015-06-09 gr-qc

Matthew Wright This is my paper · ORCID
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keywords boundsgravitationalmodelsanisotropicbuchdahlchargecompactconsidered
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abstract

Spherically symmetric anisotropic static compact solutions to the Einstein equations in dimension $d\geq4$ are considered. Various matter models are examined and upper bounds on the ratio of the gravitational mass to the radius in these different models are obtained. Bounds are also generalised in the presence of a non-zero charge and a positive cosmological constant. These bounds are then used to find the maximum of the gravitational redshift at the surface of the object.

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  1. Canonical ensemble of a $d$-dimensional Reissner-Nordstr\"om black hole in a cavity

    hep-th 2025-04 conditional novelty 7.0 of 10

    A d-dimensional Reissner-Nordström black hole in a finite cavity has three equilibrium states below a critical charge and one above, and the two stable states undergo a first-order transition that becomes second-order...

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