Dynamics of spherically symmetric spacetimes: hydrodynamics and radiation

Abstract

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.

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

References in corpus (3)

• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Conservative General Relativistic Radiation Hydrodynamics in Spherical Symmetry and Comoving Coordinates
• A cure for unstable numerical evolutions of single black holes: adjusting the standard ADM equations