Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-10-27
JHEP 0903:067,2009
Physics
High Energy Physics
High Energy Physics - Theory
39 pages, two appendices added, in appendix A the proof of the power series solution has been detailed, in appendix B, we have
Scientific paper
10.1088/1126-6708/2009/03/067
It is known that the solutions of pure classical 5D gravity with $AdS_5$ asymptotics can describe strongly coupled large N dynamics in a universal sector of 4D conformal gauge theories. We show that when the boundary metric is flat we can uniquely specify the solution by the boundary stress tensor. We also show that in the Fefferman-Graham coordinates all these solutions have an integer Taylor series expansion in the radial coordinate (i.e. no $log$ terms). Specifying an arbitrary stress tensor can lead to two types of pathologies, it can either destroy the asymptotic AdS boundary condition or it can produce naked singularities. We show that when solutions have no net angular momentum, all hydrodynamic stress tensors preserve the asymptotic AdS boundary condition, though they may produce naked singularities. We construct solutions corresponding to arbitrary hydrodynamic stress tensors in Fefferman-Graham coordinates using a derivative expansion. In contrast to Eddington-Finkelstein coordinates here the constraint equations simplify and at each order it is manifestly Lorentz covariant. The regularity analysis, becomes more elaborate, but we can show that there is a unique hydrodynamic stress tensor which gives us solutions free of naked singularities. In the process we write down explicit first order solutions in both Fefferman-Graham and Eddington-Finkelstein coordinates for hydrodynamic stress tensors with arbitrary $\eta/s$. Our solutions can describe arbitrary (slowly varying) velocity configurations. We point out some field-theoretic implications of our general results.
Gupta Rajesh Kumar
Mukhopadhyay Ayan
No associations
LandOfFree
On the universal hydrodynamics of strongly coupled CFTs with gravity duals 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 On the universal hydrodynamics of strongly coupled CFTs with gravity duals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the universal hydrodynamics of strongly coupled CFTs with gravity duals will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-324406