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A Penrose-like inequality for asymptotically flat null hypersurfaces Mars, Marc
Description
In this talk I will analyze the limit at infinity of the Hawking energy along foliations by spacelike cross sections of an asymptotically flat null hyper surface \(\Omega\). A functional on two-surfaces will be introduced and its monotonicity properties and asymptotic behaviour at infinity will be considered. In particular a foliation in \(\Omega\) will be shown to exist for which a Penrose-like inequality in \(\Omega\) holds where, instead of in terms of the Bondi energy, the area of the MOTS is bounded in terms the asymptotic value of the Hawking energy along the foliation. Applications of the methods for the Penrose inequality will also be mentioned.
Item Metadata
Title |
A Penrose-like inequality for asymptotically flat null hypersurfaces
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-07-19T09:00
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Description |
In this talk I will analyze the limit at infinity
of the Hawking energy along foliations by spacelike cross
sections of an asymptotically flat null hyper surface \(\Omega\).
A functional on two-surfaces will be introduced and its monotonicity
properties and asymptotic behaviour at infinity will be considered.
In particular a foliation in \(\Omega\) will be shown to exist for which a
Penrose-like inequality in \(\Omega\) holds where, instead of
in terms of the Bondi energy, the area of the MOTS is bounded
in terms the asymptotic value of the Hawking energy along the foliation.
Applications of the methods for the Penrose inequality will also be mentioned.
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Extent |
50 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Universidad de Salamanca
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Series | |
Date Available |
2017-02-01
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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 |
10.14288/1.0340754
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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