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General Relativity and Quantum Cosmology

arXiv:gr-qc/0501101 (gr-qc)
[Submitted on 31 Jan 2005 (v1), last revised 11 Oct 2005 (this version, v2)]

Title:Relativistic hydrodynamics with sources for cosmological K-fluids

Authors:Alberto Diez-Tejedor, Alexander Feinstein
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Abstract: 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.
Comments: 9 pages, no figures. Title changed. Minor corrections. To appear in Int. Jour. Mod. Phys. D
Subjects: General Relativity and Quantum Cosmology (gr-qc); Astrophysics (astro-ph); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:gr-qc/0501101
  (or arXiv:gr-qc/0501101v2 for this version)
  https://doi.org/10.48550/arXiv.gr-qc/0501101
Journal reference: Int.J.Mod.Phys. D14 (2005) 1561-1576
Related DOI: https://doi.org/10.1142/S0218271805007152

Submission history

From: Alexander Feinstein [view email]
[v1] Mon, 31 Jan 2005 11:02:17 UTC (14 KB)
[v2] Tue, 11 Oct 2005 14:37:58 UTC (14 KB)
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