Research PapersNo Access
FLUID-GRAVITY CORRESPONDENCE UNDER THE PRESENCE OF VISCOSITY
https://doi.org/10.1142/S0217732312501854Cited by:0 (Source: Crossref)
Abstract
This 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:
PACS: 04.50+h, 04.20.Jb, 11.25.Mj, 04.60.Bc
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