Dynamics of spherically symmetric spacetimes: hydrodynamics and radiation

Details Dynamics of spherically symmetric spacetimes: hydrodynamics and radiation Dynamics of spherically symmetric spacetimes: hydrodynamics and radiation

2002-01-18

arxiv.org/abs/gr-qc/0201064v1

Phys.Rev.D66:044013,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

submitted to Phys. Rev. D, 46 pages, RevTex file, no figures

Scientific paper

10.1103/PhysRevD.66.044013

Using the 3+1 formalism of general relativity we obtain the equations governing the dynamics of spherically symmetric spacetimes with arbitrary sources. We then specialize for the case of perfect fluids accompanied by a flow of interacting massless or massive particles (e.g. neutrinos) which are described in terms of relativistic transport theory. We focus in three types of coordinates: 1) isotropic gauge and maximal slicing, 2) radial gauge and polar slicing, and 3) isotropic gauge and polar slicing.

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