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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 ISSN 0010-3616.
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Official URL: http://dx.doi.org/10.1007/s00220-015-2360-6
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 | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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Volume: | 337 | |||||||||
Number: | 2 | |||||||||
Page Range: | pp. 767-783 | |||||||||
DOI: | 10.1007/s00220-015-2360-6 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Reuse Statement (publisher, data, author rights): | 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 | |||||||||
Date of first compliant deposit: | 30 October 2019 | |||||||||
Date of first compliant Open Access: | 30 October 2019 | |||||||||
RIOXX Funder/Project Grant: |
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