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• W3100375868 abstract "We examine the Eddington factor in an optically thick, relativistic flow accelerating in the vertical direction. % When the gaseous flow is radiatively accelerated and there is a velocity gradient, there also exists a density gradient. The comoving observer sees radiation coming from a closed surface where the optical depth measured from the observer is unity. Such a surface, called a {it one-tau photo-oval}, is elongated in the flow direction. In general, the radiation intensity emitted by the photo-oval is non-uniform, and the photo-oval surface has a relative velocity with respect to the position of the comoving observer. Both effects introduce some degree of anisotropy in the radiation field observed in the comoving frame. As a result, the radiation field observed by the comoving observer becomes {it anisotropic}, and the Eddington factor must deviate from the usual value of 1/3. Thus, the relativistic Eddington factor generally depends on the optical depth $tau$ and the velocity gradient $du/dtau$, $u$ being the four velocity. % In the case of a plane-parallel vertical flow, we obtain the shape of the photo-oval and calculate the Eddington factor in the optically thick regime. We found that the Eddington factor $f$ is well approximated by $f(tau, frac{du}{dtau}) = {1/3} exp (frac{1}{u} frac{du}{dtau}) $. % This relativistic variable Eddington factor can be used in various relativistic radiatively-driven flows." @default.
• W3100375868 created "2020-11-23" @default.
• W3100375868 creator A5009061887 @default.
• W3100375868 date "2008-10-25" @default.
• W3100375868 modified "2023-09-27" @default.
• W3100375868 title "Variable Eddington Factor in a Relativistic Plane-Parallel Flow" @default.
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• W3100375868 doi "https://doi.org/10.1093/pasj/60.5.1209" @default.
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