Black holes as lumps of fluid
Black holes as lumps of fluid
The old suggestive observation that black holes often resemble lumps of fluid has recently been taken beyond the level of an analogy to a precise duality. We investigate aspects of this duality, and in particular clarify the relation between area minimization of the fluid vs. area maximization of the black hole horizon, and the connection between surface tension and curvature of the fluid, and surface gravity of the black hole. We also argue that the Rayleigh-Plateau instability in a fluid tube is the holographic dual of the Gregory-Laflamme instability of a black string. Associated with this fluid instability there is a rich variety of phases of fluid solutions that we study in detail, including in particular the effects of rotation. We compare them against the known results for asymptotically flat black holes finding remarkable agreement. Furthermore, we use our fluid results to discuss the unknown features of the gravitational system. Finally, we make some observations that suggest that asymptotically flat black holes may admit a fluid description in the limit of large number of dimensions.
Caldarelli, Marco M.
873ef6f9-92c0-48f6-8362-6b1bee12d540
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Emparan, Roberto
6f047bdb-0fdc-45eb-9c02-bfb540aa5020
Klemm, Dietmar
ceb66918-3b23-42bc-8270-0bb814a63e96
6 April 2009
Caldarelli, Marco M.
873ef6f9-92c0-48f6-8362-6b1bee12d540
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Emparan, Roberto
6f047bdb-0fdc-45eb-9c02-bfb540aa5020
Klemm, Dietmar
ceb66918-3b23-42bc-8270-0bb814a63e96
Abstract
The old suggestive observation that black holes often resemble lumps of fluid has recently been taken beyond the level of an analogy to a precise duality. We investigate aspects of this duality, and in particular clarify the relation between area minimization of the fluid vs. area maximization of the black hole horizon, and the connection between surface tension and curvature of the fluid, and surface gravity of the black hole. We also argue that the Rayleigh-Plateau instability in a fluid tube is the holographic dual of the Gregory-Laflamme instability of a black string. Associated with this fluid instability there is a rich variety of phases of fluid solutions that we study in detail, including in particular the effects of rotation. We compare them against the known results for asymptotically flat black holes finding remarkable agreement. Furthermore, we use our fluid results to discuss the unknown features of the gravitational system. Finally, we make some observations that suggest that asymptotically flat black holes may admit a fluid description in the limit of large number of dimensions.
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Accepted/In Press date: 3 March 2009
Published date: 6 April 2009
Additional Information:
Copyright SISSA 2009
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Local EPrints ID: 467514
URI: http://eprints.soton.ac.uk/id/eprint/467514
PURE UUID: de6583bf-c06f-4ebc-b709-6f56f57801b0
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Date deposited: 12 Jul 2022 16:34
Last modified: 17 Mar 2024 03:35
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Author:
Marco M. Caldarelli
Author:
Roberto Emparan
Author:
Dietmar Klemm
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