Relativistic radiative transfer: moment formalisms
Feb 1, 198135 pages
Published in:
- Mon.Not.Roy.Astron.Soc. 194 (1981) 2, 439-473
- Published: Feb 1, 1981
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Abstract: (Oxford University Press)
Two moment formalisms are developed for radiative transfer in a relativistic, differentially moving medium in flat or curved spacetime. One formalism applies to systems with no special symmetries; its moments of the photon direction distribution are ‘projected, symmetric trace-free tensors’ ℳα_1 α_2 …α_k. The other formalism applies to systems with spherical, planar or pseudospherical symmetry; its moments are scalar functions analogous to the J, H and K of non-relativistic theory. Both formalisms come in three variants: a frequency-dependent variant (moments are functions of frequency ν and of location in spacetime xα); a redshifted variant applicable only to spacetimes with a ‘universal redshift function’ R(xα) (moments are functions of redshifted frequency f = Rv and of xα); and a frequency-integrated variant (moments are functions of xα only).References(0)
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