Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity
Abstract
A truncated moment formalism for general relativistic radiation hydrodynamics, based on the Thorne's moment formalism, is derived. The fluid rest frame is chosen to be the fiducial frame for defining the radiation moments. Then, zeroth-, first-, and second-rank radiation moments are defined from the distribution function with a physically reasonable assumption for it in the optically thin and thick limits. The source terms are written, focusing specifically on the neutrino transfer and neglecting higher harmonic angular dependence of the reaction angle. Finally, basic equations for a truncated moment formalism for general relativistic radiation hydrodynamics in a closed covariant form are derived assuming a closure relation among the radiation stress tensor, energy density, and energy flux, and a variable Eddington factor, which works well.
Keywords
Cite
@article{arxiv.1104.3937,
title = {Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity},
author = {Masaru Shibata and Kenta Kiuchi and Yu-ichiro Sekiguchi and Yudai Suwa},
journal= {arXiv preprint arXiv:1104.3937},
year = {2011}
}
Comments
33 pages, 2 figures, to be published in Prog. Theor. Phys