Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...237..574m&link_type=abstract
Astrophysical Journal, Part 1, vol. 237, Apr. 15, 1980, p. 574-589. Research supported by the National Council of England.
Astronomy and Astrophysics
Astrophysics
61
Astrophysics, Flow Equations, Radiative Transfer, Relativistic Velocity, Stellar Atmospheres, Atmospheric Circulation, Gray Gas, Lorentz Transformations, Radial Flow, Steady Flow, Stellar Envelopes, Transport Theory
Scientific paper
Within the framework of special relativity, radiative transport equations describing exactly, i.e., to all orders in (v/c), the interaction of radiation and matter in spherically symmetric flows are derived. The full angle- and frequency-dependent transfer equation, frequency-dependent moment equations, and frequency-integrated moment equations are obtained. The frequency-integrated moment equations are shown to be precisely equivalent to the equations obtained from the four-divergence of the radiation stress-energy tensor, and all three sets of equations recover the results obtained earlier by Castor in the limit (v/c) much less than 1. A method of solution of the steady-flow transfer equation is discussed, and two illustrative examples are presented.
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