The Relativistic Sobolev Method Applied to Homologously Expanding Atmospheres

Details The Relativistic Sobolev Method Applied to Homologously Expanding Atmospheres The Relativistic Sobolev Method Applied to Homologously Expanding Atmospheres

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...415..734j&link_type=abstract

Astrophysical Journal v.415, p.734

Astronomy and Astrophysics

Astronomy

15

Line: Formation, Radiative Transfer, Relativity, Stars: Atmospheres

Scientific paper

In this paper, a detailed application of the relativistic Sobolev method of Hutsemékers & Surdej (HS) to homologously expanding atmospheres (with supernovae as the only example in mind) is described. The expressions for the common-direction (CD) and common-point (CP) frequency surfaces for homologous expansion are derived. The CP frequency surfaces are necessary for interacting line effects and were not considered by HS. Other important expressions of the relativistic Sobolev method are presented and briefly discussed. The validities for supernovae of the stationarity approximation and the relativistic Sobolev method's neglect of advection are briefly discussed. Some demonstration spectra calculated using the relativistic and classical Sobolev methods for models in homologous expansion are presented and compared. For the analysis of supernova atmospheres with the highest velocities observed, the relativistic Sobolev method treatment yields a small, but significant, improvement over the classical Sobolev method treatment.

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