Relativistic hydrodynamics with sources for cosmological K-fluids

Details Relativistic hydrodynamics with sources for cosmological K-fluids Relativistic hydrodynamics with sources for cosmological K-fluids

2005-01-31

arxiv.org/abs/gr-qc/0501101v2

Int.J.Mod.Phys. D14 (2005) 1561-1576

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figures. Title changed. Minor corrections. To appear in Int. Jour. Mod. Phys. D

Scientific paper

10.1142/S0218271805007152

We consider hydrodynamics with non conserved number of particles and show that it can be modeled with effective fluid Lagrangians which explicitly depend on the velocity potentials. For such theories, the {}``shift symetry'' $\phi\to\phi+$const. leading to the conserved number of fluid particles in conventional hydrodynamics is globaly broken and, as a result, the non conservation of particle number appears as a source term in the continuity equation. The particle number non-conservation is balanced by the entropy change, with both the entropy and the source term expresed in terms of the fluid velocity potential. Equations of hydrodynamics are derived using a modified version of Schutz's variational principle method. Examples of fluids described by such Lagrangians (tachyon condensate, k-essence) in spatially flat isotropic universe are briefly discussed.

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