Fluid--Gravity Correspondence under the presence of viscosity
General Relativity and Quantum Cosmology
2015-06-05 v1
Abstract
The present work addresses the analogy between the speed of sound of a viscous, barotropic, and irrotational fluid and the equation of motion for a non--massive field in a curved manifold. It will be shown that the presence of viscosity implies the introduction, into the equation of motion of the gravitational analogue, of a source term which entails the flow of energy from the non--massive field to the curvature of the spacetime manifold. The stress-energy tensor is also computed and it is found not to be constant, which is consistent with such energy interchange.
Keywords
Cite
@article{arxiv.1206.4023,
title = {Fluid--Gravity Correspondence under the presence of viscosity},
author = {B. González-Fernández and A. Camacho},
journal= {arXiv preprint arXiv:1206.4023},
year = {2015}
}