Lagrangian description of fluid flow with pressure in relativistic cosmology

Abstract

The Lagrangian description of fluid flow in relativistic cosmology is extended to the case of flow accelerated by pressure. In the description, the entropy and the vorticity are obtained exactly for the barotropic equation of state. In order to determine the metric, the Einstein equation is solved perturbatively, when metric fluctuations are small but entropy inhomogeneities are large. Thus, the present formalism is applicable to the case when the inhomogeneities are small in the large scale but locally nonlinear.

11 pages (RevTeX); accepted for publication in Phys. Rev. D

References in corpus (5)

• Observational evidence for self-interacting cold dark matter
• On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
• Repulsive Dark Matter
• Noninteracting dark matter
• Lagrangian description of the fluid flow with vorticity in the relativistic cosmology

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• On average properties of inhomogeneous fluids in general relativity III: general fluid cosmologies
• Lagrangian theory for cosmic structure formation with vorticity: Newtonian and post-Friedmann approximations
• Lagrangian theory of structure formation in relativistic cosmology. V. Irrotational fluids
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