Relativistic Milne-Eddington Type Solutions with a Variable Eddington Factor for Relativistic Spherical Winds
Relativistic radiative transfer in a relativistic spherical flow is examined in the fully special relativistic treatment. Under the assumption of a constant flow speed and using a variable (prescribed) Eddington factor, we analytically solve the relativistic moment equations in the comoving frame fo...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2011/412620 |
| Summary: | Relativistic radiative transfer in a relativistic spherical flow is examined in the fully special
relativistic treatment. Under the assumption of a constant flow speed and using a variable
(prescribed) Eddington factor, we analytically solve the relativistic moment equations in the comoving
frame for several restricted cases, and obtain relativistic Milne-Eddington type solutions.
In contrast to the plane-parallel case where the solutions exhibit the exponential behavior on
the optical depth, the solutions have power-law forms. In the case of the radiative equilibrium,
for example, the radiative flux has a power-law term multiplied by the exponential term. In the
case of the local thermodynamic equilibrium with a uniform source function in the comoving
frame, the radiative flux has a power-law form on the optical depth. This is because there is an
expansion effect (curvature effect) in the spherical wind and the background density decreases
as the radius increases. |
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| ISSN: | 1687-7969 1687-7977 |