Hydrodynamics of an ultra-relativistic fluid in the flat anisotropic cosmological model

Details Hydrodynamics of an ultra-relativistic fluid in the flat anisotropic cosmological model Hydrodynamics of an ultra-relativistic fluid in the flat anisotropic cosmological model

2001-02-20

arxiv.org/abs/gr-qc/0102087v1

Phys.Rev. D64 (2001) 047503

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 1 eps figure, revtex

Scientific paper

10.1103/PhysRevD.64.047503

Motion of an ultra-relativistic perfect fluid in space-time with the Kasner metrics is investigated by the Hamiltonian method. It is found that in the limit of small times a tendency takes place to formation of strong inhomogeneities in matter distribution. In the case of slow flows the effect of non-stationary anisotropy on dynamics of sound waves and behaviour of frozen-in vortices is considered. It is shown that hydrodynamics of slow vortices on the static homogeneous background is equivalent to the usual Eulerian incompressible hydrodynamics, but in the presence of an external non-stationary strain velocity field.

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