Geometric flows and black hole entropy

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3151

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DC Field	Value	Language
dc.contributor.author	Samuel, J.	-
dc.contributor.author	Roy Chowdhury, Sutirtha	-
dc.date.accessioned	2007-06-26T10:53:54Z	-
dc.date.available	2007-06-26T10:53:54Z	-
dc.date.issued	2007-06-07	-
dc.identifier.citation	Classical and Quantum Gravity, 2007, Vol.24, pF47-F54	en
dc.identifier.issn	0264-9381	-
dc.identifier.issn	1361-6382 (Online)	-
dc.identifier.uri	http://hdl.handle.net/2289/3151	-
dc.description	Restricted Access.	en
dc.description.abstract	Perelman has given a gradient formulation for the Ricci flow, introducing an 'entropy function' which increases monotonically along the flow. We pursue a thermodynamic analogy and apply Ricci flow ideas to general relativity. We investigate whether Perelman's entropy is related to (Bekenstein–Hawking) geometric entropy as familiar from black hole thermodynamics. From a study of the fixed points of the flow, we conclude that Perelman entropy is not connected to geometric entropy. However, we note that there is a very similar flow which does appear to be connected to geometric entropy. The new flow may find applications in black hole physics suggesting, for instance, new approaches to the Penrose inequality.	en
dc.format.extent	154675 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	IOP Publishing Ltd.	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/24/11/F01	en
dc.rights	2007 IOP Publishing Ltd.	en
dc.title	Geometric flows and black hole entropy	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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