Central equation of state in spherical characteristic evolutions

Details Central equation of state in spherical characteristic evolutions Central equation of state in spherical characteristic evolutions

2009-09-24

arxiv.org/abs/0909.4500v1

Phys.Rev.D80:084007,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages; to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.80.084007

We study the evolution of a perfect--fluid sphere coupled to a scalar radiation field. By ensuring a Ricci invariant regularity as a conformally flat spacetime at the central world line we find that the fluid coupled to the scalar field satisfies the equation of state $\rho_c+3p_c=$ constant at the center of the sphere, where the energy $\rho_c$ density and the pressure $p_c$ do not necessarily contain the scalar field contribution. The fluid can be interpreted as anisotropic and radiant because of the scalar field, but it becomes perfect and non radiative at the center of the sphere. These results are being currently considered to build up a numerical relativistic hydrodynamic solver.

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