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A truncated moment formalism for general relativistic radiationhydrodynamics, based on the Thorne's moment formalism, is derived. The fluidrest frame is chosen to be the fiducial frame for defining the radiationmoments. Then, zeroth-, first-, and second-rank radiation moments are definedfrom the distribution function with a physically reasonable assumption for itin the optically thin and thick limits. The source terms are written, focusingspecifically on the neutrino transfer and neglecting higher harmonic angulardependence of the reaction angle. Finally, basic equations for a truncatedmoment formalism for general relativistic radiation hydrodynamics in a closedcovariant form are derived assuming a closure relation among the radiationstress tensor, energy density, and energy flux, and a variable Eddingtonfactor, which works well.

Truncated Moment Formalism for Radiation Hydrodynamics in Numerical Relativity