On the thermodynamics of one-fluid Szekeres-like cosmologies

Details On the thermodynamics of one-fluid Szekeres-like cosmologies On the thermodynamics of one-fluid Szekeres-like cosmologies

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6l..93l&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, June 1, 1989, p. L93-L98. Research supported by Coordenacao do Aperfeico

Mathematics

Logic

6

Cosmology, Gravitation Theory, Space-Time Functions, Thermodynamics, Equations Of State, Geodesy, Ideal Fluids

Scientific paper

The thermodynamic behavior of the inhomogeneous Szekeres-type cosmologies with a perfect fluid as the source of gravitation is examined. Since the matter motion is geodetic, the absence of heat flow implies that the temperature is a function of time alone. For a subclass approaching homogeneity and isotropy at large cosmological times an expression for the temperature is derived. It does not coincide with the law of temperature satisfied by the FRW universes, even asymptotically. However, by assuming an equation of state explicitly dependent on the space coordinates, it is shown that the FRW thermodynamics may be recovered. In all cases the Euler and Gibbs-Duhem relations are no longer valid.

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