Near-extremal fluid mechanics
Abstract We analyse near-extremal black brane configurations in asymptotically AdS4 spacetime with the temperature T, chemical potential μ, and three-velocity u ν , varying slowly. We consider a low-temperature limit where the rate of variation is much slower than μ, but much bigger than T. This lim...
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Online Access: | https://doi.org/10.1007/JHEP02(2021)021 |
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doaj-dc63b0c7aa9f41ce84fd7f09f5bf69682021-02-07T12:08:03ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021217810.1007/JHEP02(2021)021Near-extremal fluid mechanicsUpamanyu Moitra0Sunil Kumar Sake1Sandip P. Trivedi2Department of Theoretical Physics, Tata Institute of Fundamental ResearchDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchAbstract We analyse near-extremal black brane configurations in asymptotically AdS4 spacetime with the temperature T, chemical potential μ, and three-velocity u ν , varying slowly. We consider a low-temperature limit where the rate of variation is much slower than μ, but much bigger than T. This limit is different from the one considered for conventional fluid-mechanics in which the rate of variation is much smaller than both T, μ. We find that in our limit, as well, the Einstein-Maxwell equations can be solved in a systematic perturbative expansion. At first order, in the rate of variation, the resulting constitutive relations for the stress tensor and charge current are local in the boundary theory and can be easily calculated. At higher orders, we show that these relations become non-local in time but the perturbative expansion is still valid. We find that there are four linearised modes in this limit; these are similar to the hydrodynamic modes found in conventional fluid mechanics with the same dispersion relations. We also study some linearised time independent perturbations exhibiting attractor behaviour at the horizon — these arise in the presence of external driving forces in the boundary theory.https://doi.org/10.1007/JHEP02(2021)021AdS-CFT CorrespondenceBlack HolesClassical Theories of GravityHolography and condensed matter physics (AdS/CMT) |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Upamanyu Moitra Sunil Kumar Sake Sandip P. Trivedi |
spellingShingle |
Upamanyu Moitra Sunil Kumar Sake Sandip P. Trivedi Near-extremal fluid mechanics Journal of High Energy Physics AdS-CFT Correspondence Black Holes Classical Theories of Gravity Holography and condensed matter physics (AdS/CMT) |
author_facet |
Upamanyu Moitra Sunil Kumar Sake Sandip P. Trivedi |
author_sort |
Upamanyu Moitra |
title |
Near-extremal fluid mechanics |
title_short |
Near-extremal fluid mechanics |
title_full |
Near-extremal fluid mechanics |
title_fullStr |
Near-extremal fluid mechanics |
title_full_unstemmed |
Near-extremal fluid mechanics |
title_sort |
near-extremal fluid mechanics |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-02-01 |
description |
Abstract We analyse near-extremal black brane configurations in asymptotically AdS4 spacetime with the temperature T, chemical potential μ, and three-velocity u ν , varying slowly. We consider a low-temperature limit where the rate of variation is much slower than μ, but much bigger than T. This limit is different from the one considered for conventional fluid-mechanics in which the rate of variation is much smaller than both T, μ. We find that in our limit, as well, the Einstein-Maxwell equations can be solved in a systematic perturbative expansion. At first order, in the rate of variation, the resulting constitutive relations for the stress tensor and charge current are local in the boundary theory and can be easily calculated. At higher orders, we show that these relations become non-local in time but the perturbative expansion is still valid. We find that there are four linearised modes in this limit; these are similar to the hydrodynamic modes found in conventional fluid mechanics with the same dispersion relations. We also study some linearised time independent perturbations exhibiting attractor behaviour at the horizon — these arise in the presence of external driving forces in the boundary theory. |
topic |
AdS-CFT Correspondence Black Holes Classical Theories of Gravity Holography and condensed matter physics (AdS/CMT) |
url |
https://doi.org/10.1007/JHEP02(2021)021 |
work_keys_str_mv |
AT upamanyumoitra nearextremalfluidmechanics AT sunilkumarsake nearextremalfluidmechanics AT sandipptrivedi nearextremalfluidmechanics |
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