Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions

Details Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions

2008-09-25

arxiv.org/abs/0809.4272v2

JHEP 0812:116,2008

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 1 figure. JHEP format, v2 : Minor modifications, References added

Scientific paper

10.1088/1126-6708/2008/12/116

We 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.

Affiliated with

Also associated with

No associations

Rating

Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-181168