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On isoperimetric
surfaces in general relativity
Justin Corvino, Aydin Gerek, Michael Greenberg and Brian Krummel |
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Vol. 231 (2007), No. 1, 63–84
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Abstract |
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We obtain the isoperimetric profile for the standard initial slices in the Reissner–Nordstrom and Schwarzschild anti-de Sitter spacetimes, following recent work of Bray and Morgan on isoperimetric comparison. We then discuss these results in the context of Bray’s isoperimetric approach to the Penrose inequality. |
Keywords
differential geometry, isoperimetric problem, general
relativity
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Mathematical Subject Classification 2000
Primary: 53C21, 83C99
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Milestones
Received: 3 January 2006
Revised: 2 March 2007
Accepted: 7 March 2007
Published: 1 May 2007
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Authors |
| Justin Corvino | |
| Department of Mathematics Lafayette College Easton, PA 18042 United States |
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| Aydin Gerek | |
| Department of Mathematics Lafayette College Easton, PA 18042 United States |
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| Michael Greenberg | |
| Department of Mathematics Brown University Box 1917 Providence, RI 02912 United States |
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| Brian Krummel | |
| Department of Mathematics Stanford University Stanford, CA 94305 United States |
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