Thermodynamically admissible equations for causal dissipative cosmology, galaxy formation, and transport processes in a gravitational collapse - art.no. 103507
Hc. Ottinger, Thermodynamically admissible equations for causal dissipative cosmology, galaxy formation, and transport processes in a gravitational collapse - art.no. 103507, PHYS REV D, 6010(10), 1999, pp. 3507
We formulate a set of equations for a self-gravitating imperfect fluid that
satisfies all the principles of both general relativity and nonequilibrium
thermodynamics, where the latter are condensed in the covariant version of
the recently proposed general equation for the nonequilibrium reversible-i
rreversible coupling (GENERIC). In doing so, Einstein's field equation is s
upplemented by fundamental and clearly structured transport equations for t
he sources of gravitational fields. The GENERIC framework determines the se
lection of the appropriate variables and the structure of the field equatio
ns compatible with the fundamental laws of thermodynamics. A nonzero cosmol
ogical constant cannot be ruled out by thermodynamic consistency criteria.
In order to discuss the relationship to previous approaches, the simplified
equations for bulk viscous cosmology are presented in some detail. [S0556-
2821(99)06322-5].