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On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass

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Abstract

In this paper we prove the Penrose inequality for metrics that are small perturbations of the Schwarzschild anti-de Sitter metrics of positive mass. We use the existence of a global foliation by weakly stable constant mean curvature spheres and the monotonicity of the Hawking mass.

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Authors and Affiliations

  1. Instituto de Matemática Pura e Aplicada (IMPA), Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, Brazil

    Lucas C. Ambrozio

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  1. Lucas C. Ambrozio
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Correspondence to Lucas C. Ambrozio.

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Communicated by P. T. Chruściel

The author was supported by FAPERJ and CNPq-Brazil.

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Ambrozio, L.C. On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass. Commun. Math. Phys. 337, 767–783 (2015). https://doi.org/10.1007/s00220-015-2360-6

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  • DOI: https://doi.org/10.1007/s00220-015-2360-6

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