Equation of state and transport processes in self--similar spheres

Details Equation of state and transport processes in self--similar spheres Equation of state and transport processes in self--similar spheres

2005-08-12

arxiv.org/abs/gr-qc/0508054v1

Phys.Rev. D59 (1999) 024008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 2 figures

Scientific paper

10.1103/PhysRevD.59.024008

We study the effect of transport processes (diffusion and free--streaming) on a collapsing spherically symmetric distribution of matter in a self--similar space--time. A very simple solution shows interesting features when it is matched with the Vaidya exterior solution. In the mixed case (diffusion and free--streaming), we find a barotropic equation of state in the stationary regime. In the diffusion approximation the gravitational potential at the surface is always constant; if we perturb the stationary state, the system is very stable, recovering the barotropic equation of state as time progresses. In the free--streaming case the self--similar evolution is stationary but with a non--barotropic equation of state.

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