2011/04/20 by Masaru Shibata, M. Shibata, K. Kiuchi +5 · 6 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Covariant transformation #Formalism (music) #General relativity #High-Energy Particle Collisions Research #Magnetic radiation reaction force #Pulsars and Gravitational Waves Research #Radiation #Reference frame #Rest frame #Theory of relativity #Thermal radiation #astro-ph.HE #astro-ph.SR #gr-qc
paper · pdf · doi:10.1143/ptp.125.1255
published as Prog. Theor. Phys. 125 (2011), 1255-1287 · 33 pages, 2 figures, to be published in Prog. Theor. Phys
arxiv created 2011/04/20 · openalex publication_date 2011/06/01 · arxiv updated 2011/07/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A truncated moment formalism for general relativistic radiation hydrodynamics, based on 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.