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Fluid/gravity correspondence for massive gravity

May 9, 2016

9 pages

Published in:

Phys.Rev.D 94 (2016) 10, 104029

Published: Nov 11, 2016

e-Print:

1605.02481 [hep-th]

DOI:

10.1103/PhysRevD.94.104029

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Abstract: (APS)

In this paper, we investigate the fluid/gravity correspondence in the framework of massive Einstein gravity. Treating the gravitational mass terms as an effective energy-momentum tensor and utilizing the Petrov-like boundary condition on a timelike hypersurface, we find that the perturbation effects of massive gravity in bulk can be completely governed by the incompressible Navier-Stokes equation living on the cutoff surface under the near horizon and nonrelativistic limits. Furthermore, we have concisely computed the ratio of dynamical viscosity to entropy density for two massive Einstein gravity theories, and found that they still saturate the Kovtun-Son-Starinets (KSS) bound.

Note:

16 pages, no figures, 18pages, no figures, presentation improved, Appendix.C and references added, the title slightly changed, published in PRD

gravitation: massive
mass: gravitation
tensor: energy-momentum
perturbation: effect
entropy: density
fluid/gravity correspondence
Navier-Stokes equation
boundary condition
nonrelativistic
Kovtun-Son-Starinets bound

References(73)

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