Hydrodynamics of an ultrarelativistic fluid in the flat anisotropic cosmological model

V. P. Ruban, D. I. Podolsky
2001 Physical Review D, Particles and fields  
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
more » ... to the usual Eulerian incompressible hydrodynamics, but in the presence of an external non-stationary strain velocity field.
doi:10.1103/physrevd.64.047503 fatcat:s7wht4hlzjbo7puyyjjp5zbqjy