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On perturbations of the Schwarzschild anti-de sitter spaces of positive mass

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Ambrozio, Lucas (2015) On perturbations of the Schwarzschild anti-de sitter spaces of positive mass. Communications in Mathematical Physics, 337 (2). pp. 767-783. doi:10.1007/s00220-015-2360-6

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Official URL: http://dx.doi.org/10.1007/s00220-015-2360-6

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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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Scalar field theory, Curvature, Riemannian manifolds, Hyperbolic spaces
Journal or Publication Title: Communications in Mathematical Physics
Publisher: Springer
ISSN: 0010-3616
Official Date: July 2015
Dates:
DateEvent
July 2015Published
7 April 2015Available
22 December 2014Accepted
Date of first compliant deposit: 30 October 2019
Volume: 337
Number: 2
Page Range: pp. 767-783
DOI: 10.1007/s00220-015-2360-6
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: This is a post-peer-review, pre-copyedit version of an article published in Communications in Mathematical Physics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00220-015-2360-6
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIEDFundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeirohttp://viaf.org/viaf/121741474/#Funda%C3%A7%C3%A3o_Carlos_Chagas_Filho_de_Amparo_%C3%A0_Pesquisa_do_Estado_do_Rio_de_Janeiro
UNSPECIFIEDConselho Nacional de Desenvolvimento Científico e Tecnológicohttp://dx.doi.org/10.13039/501100003593

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