Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..55.4555c&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 55, Issue 8, 15 April 1997, pp.4555-4565
Astronomy and Astrophysics
Astrophysics
Hydrodynamics, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Shock Wave Interactions And Shock Effects
Scientific paper
In the equilibrium diffusion limit, transport effects vanish and the radiation pressure tensor is diagonal and isotropic. The radiation pressure Pr and energy density ρr are then related by Pr=13ρr. This assumption will fail near the boundary surface from which radiation escapes freely. This paper deals with a relativistic hydrodynamic approach of radiation phenomena taking into account the effects of the radiation pressure, energy density, and energy flux. From physical and geometrical considerations we derive an energy-momentum tensor for radiation. This tensor, which generalizes the isotropic case, may describe a certain model of radiation field which is of some interest for astrophysics and cosmology. Next, we examine the propagation of shock waves in the radiating fluid considered. The Rankine-Hugoniot jump conditions are deduced. The case of a radiation-dominated gas is considered in detail. The study of Rankine-Hugoniot curves with Eddington's factor as a parameter allows us to point out the key role that this factor plays in radiation phenomena. In particular, the Eddington factor is used as a convenient parameter to study the deflagration waves.
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