Spherical Relativistic Radiation Flows with Variable Eddington Factor

Abstract

We solve spherically symmetric radiation flows under full special relativity with the help of a variable Eddington factor $f(\tau ,\beta )$, where $\tau$ is the optical depth and $\beta$ is the flow velocity normalized by the speed of light. Relativistic radiation hydrodynamics under the moment formalism has several complex problems, such as a closure relation. Conventional moment equations closed with the traditional Eddington approximation in the comoving frame have singularity, beyond which the flow cannot be accelerated. In order to avoid such a pathological behavior inherent in the relativistic moment formalism, we propose a variable Eddington factor, which depends on the flow velocity as well as the optical depth, for the case of the sperically symmertic one-dimensional flow. We then calculate the relaticistic spherical flow with such variable Eddington factors to investigate the case that gas is accelerated by radiative force. As a result, it is shown that the gas speed reaches around the speed of light by radiation pressure.

7 pages, 5 figures; PASJ 60 (2008) in press

References in corpus (2)

• Relativistic Radiative Flow in a Luminous Disk
• Velocity-Dependent Eddington Factor in Relativistic Radiative Flow

Cited by in corpus (6)

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• Relativistic Variable Eddington Factor
• Variable Eddington Factor in a Relativistic Plane-Parallel Flow
• Relativistic Variable Eddington Factor in a Relativistic Plane-Parallel Flow
• Radiatively-driven black-hole winds revisited
• Milne-Eddington Solutions for Relativistic Plane-Parallel Flows