Berlin 2014 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 12: Classical theory of General Relativity II

GR 12.2: Talk

Tuesday, March 18, 2014, 15:45–16:05, SPA SR220

Thermodynamics of self-gravitating distributions of matter — •Tanja Schlemm, Horst-Heino von Borzeszkowski, and Thoralf Chrobok — Technische Universität Berlin, Berlin, Germany

Relativistic thermodynamics has been applied to self-gravitating spherical distributions of fluid matter, where only reversible processes have been considered. From the condition that no entropy is produced follows that the temperature vector ξ_µ= u_µ/ T must be Killing or conform Killing.

Applied to exact solutions of static star models given in the literature this approach leads to a mostly homogeneous temperature throughout the star, because the assumed equations of state have no explicit dependence on the temperature. Applied to a time dependent spherical metric and a fluid with heat flux an expanding and a contracting solution were obtained.