Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions

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dc.creatorBhattacharyya, Sayantani
dc.creatorLoganayagam, R.
dc.creatorMandal, Ipsita
dc.creatorMinwalla, Shiraz
dc.creatorSharma, Ankit
dc.date2008-09-25
dc.date2008-12-03
dc.date.accessioned2026-07-07T12:27:31Z
dc.date.available2026-07-07T12:27:31Z
dc.descriptionWe generalize recent work to construct a map from the conformal Navier Stokes equations with holographically determined transport coefficients, in d spacetime dimensions, to the set of asymptotically locally AdS_{d+1} long wavelength solutions of Einstein's equations with a negative cosmological constant, for all d>2. We find simple explicit expressions for the stress tensor (slightly generalizing the recent result by Haack and Yarom (arXiv:0806.4602)), the full dual bulk metric and an entropy current of this strongly coupled conformal fluid, to second order in the derivative expansion, for arbitrary d>2. We also rewrite the well known exact solutions for rotating black holes in AdS_{d+1} space in a manifestly fluid dynamical form, generalizing earlier work in d=4. To second order in the derivative expansion, this metric agrees with our general construction of the metric dual to fluid flows.
dc.description39 pages, 1 figure. JHEP format, v2 : Minor modifications, References added
dc.identifierhttps://arxiv.org/abs/0809.4272
dc.identifierhttp://arxiv.org/abs/0809.4272
dc.identifierJHEP 0812:116,2008
dc.identifierdoi:10.1088/1126-6708/2008/12/116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215231
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectFluid Dynamics
dc.titleConformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
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