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Penrose Inequalities with Angular Momentum Khuri, Marcus
Description
The classical Penrose inequality gives a variational characterization of Schwarzschild data as that with the minimal mass, amongst all asymptotically flat initial data sets with non- negative scalar curvature and fixed horizon area. A Penrose inequality with charge has also been established, which gives a similar variational characterization of the Reissner-Nordstrom black hole. It has been much more difficult to include angular momentum, and there have been very few results in this direction. Here we present a proof of a Penrose inequality with angu- lar momentum (also including charge), which yields a variational characterization of the Kerr (and Kerr-Newman) data. These techniques are then extended to higher dimensions to obtain Penrose-type inequalities associated with the Myers-Perry black hole (higher dimensional version of Kerr) as well as the Black Ring solution of Emparan and Reall.
Item Metadata
Title |
Penrose Inequalities with Angular Momentum
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-07-21T13:28
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Description |
The classical Penrose inequality gives a variational characterization of Schwarzschild data as that with the minimal mass, amongst all asymptotically flat initial data sets with non- negative scalar curvature and fixed horizon area. A Penrose inequality with charge has also been established, which gives a similar variational characterization of the Reissner-Nordstrom black hole. It has been much more difficult to include angular momentum, and there have been very few results in this direction. Here we present a proof of a Penrose inequality with angu- lar momentum (also including charge), which yields a variational characterization of the Kerr (and Kerr-Newman) data. These techniques are then extended to higher dimensions to obtain Penrose-type inequalities associated with the Myers-Perry black hole (higher dimensional version of Kerr) as well as the Black Ring solution of Emparan and Reall.
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Extent |
25 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Stony Brook University
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Series | |
Date Available |
2017-02-04
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0340793
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International