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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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WRAP-on-perturbations-anti-de-sitter-spaces-mass-Ambrozio-2015.pdf - Accepted Version - Requires a PDF viewer. Download (779Kb) | Preview |
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 | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 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: |
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| 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: |
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