Thermodynamical equilibrium and spacetime geometry

Details Thermodynamical equilibrium and spacetime geometry Thermodynamical equilibrium and spacetime geometry

Mar 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006gregr..38..397c&link_type=abstract

General Relativity and Gravitation, Volume 38, Issue 3, pp.397-415

Physics

1

Relativistic Continuum, Thermodynamics, Thermodynamical Equilibrium, Killing Vector, Self-Gravitating Fluids

Scientific paper

In relativistic theory of irreversible thermodynamical processes near equilibrium, generally a series of assumptions is made having, in particular, the consequence that the temperature vector is a Killing vector. We show that, in contrast to usual approaches, in equilibrium (i) the temperature vector can also be a conformal Killing vector, (ii) as an implication of the Killing property of the temperature vector, most assumptions made can be derived, without restricting the matter configuration to a perfect fluid, (iii) for non-vanishing rotation of the fluid, the heat-flow is unequal to zero, (iv) for vanishing acceleration of the fluid the Friedmann radiation cosmos is the only physically significant solution of Einstein's equations and (v) the equilibrium conditions are of the Cattaneo form such that a causal propagation of temperature can be expected.

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