Lagrangian description of fluid flow with pressure in relativistic cosmology

Details Lagrangian description of fluid flow with pressure in relativistic cosmology Lagrangian description of fluid flow with pressure in relativistic cosmology

2000-10-18

arxiv.org/abs/astro-ph/0010349v1

Phys. Rev. D62 (2000) 127301

Astronomy and Astrophysics

Astrophysics

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

Scientific paper

10.1103/PhysRevD.62.127301

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.

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