Thermodynamic scheme of inhomogeneous perfect fluid mixtures

Details Thermodynamic scheme of inhomogeneous perfect fluid mixtures Thermodynamic scheme of inhomogeneous perfect fluid mixtures

2003-10-16

arxiv.org/abs/gr-qc/0310087v1

Class.Quant.Grav. 21 (2004) 197-206

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/21/1/013

We analyze the compatibility between the geometrodynamics and thermodynamics of a binary mixture of perfect fluids which describe inhomogeneous cosmological models. We generalize the thermodynamic scheme of general relativity to include the chemical potential of the fluid mixture with non-vanishing entropy production. This formalism is then applied to the case of Szekeres and Stephani families of cosmological models. The compatibility conditions turn out to impose symmetry conditions on the cosmological models in such a way that only the limiting case of the Friedmann-Robertson-Walker model remains compatible. This result is an additional indication of the incompatibility between thermodynamics and relativity.

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