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Fluid/gravity duality with Petrov-like boundary condition in a spacetime with a cosmological constant.
- Source :
-
Physical Review D: Particles, Fields, Gravitation & Cosmology . Jun2012, Vol. 85 Issue 12-A, p1-8. 8p. - Publication Year :
- 2012
-
Abstract
- Recently it has been shown that imposing Petrov-like condition on the boundary may reduce the Einstein equation to the Navier-Stokes equation in the nonrelativistic and near-horizon limit. In this paper we extend this framework to a spacetime with a cosmological constant. By explicit construction we show that the Navier-Stokes equation can be derived from both black brane background and spatially curved spacetime. We also conjecture that imposing Petrov-like condition on the boundary should be equivalent to the conventional meühod using the hydrodynamical expansion of the metric in the near-horizon limit. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24700010
- Volume :
- 85
- Issue :
- 12-A
- Database :
- Academic Search Index
- Journal :
- Physical Review D: Particles, Fields, Gravitation & Cosmology
- Publication Type :
- Periodical
- Accession number :
- 78269090
- Full Text :
- https://doi.org/10.1103/PhysRevD.85.123531