From Petrov-Einstein to Navier-Stokes in Spatially Curved Spacetime

Details From Petrov-Einstein to Navier-Stokes in Spatially Curved Spacetime From Petrov-Einstein to Navier-Stokes in Spatially Curved Spacetime

2011-07-07

arxiv.org/abs/1107.1464v3

JHEP 1110:079,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, references added, generalizing the metric form in part 3, version published in JHEP

Scientific paper

10.1007/JHEP10(2011)079

We generalize the framework in arXiv:1104.5502 to the case that an embedding may have a nonvanishing intrinsic curvature. Directly employing the Brown-York stress tensor as the fundamental variables, we study the effect of finite perturbations of the extrinsic curvature while keeping the intrinsic metric fixed. We show that imposing a Petrov type I condition on the hypersurface geometry may reduce to the incompressible Navier-Stokes equation for a fluid moving in spatially curved spacetime in the near-horizon limit.

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