Rubén D Zárate and Hernando Quevedo 2004 Class. Quantum Grav. 21 197 doi:10.1088/0264-9381/21/1/013
Rubén D Zárate1 and Hernando Quevedo2
Show affiliationsWe analyse 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.
98.80.Jk Mathematical and relativistic aspects of cosmology
04.20.-q Classical general relativity
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
85A40 Cosmology (For relativistic cosmology, see 83F05)
Issue 1 (7 January 2004)
Received 22 August 2003
Published 20 November 2003
Rubén D Zárate and Hernando Quevedo 2004 Class. Quantum Grav. 21 197
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