S. Zane et al., GENERAL-RELATIVISTIC RADIATIVE-TRANSFER IN HOT ASTROPHYSICAL PLASMAS - A CHARACTERISTIC APPROACH, The Astrophysical journal, 466(2), 1996, pp. 871-889
In this paper we present a characteristic method for solving the trans
fer equation in differentially moving media in a curved spacetime. The
method is completely general but its capabilities are exploited at be
st in presence of symmetries, when the existence of conserved quantiti
es allows us to derive analytical expressions for the photon trajector
ies in phase space. In spherically symmetric, stationary configuration
s, the solution of the transfer problem is reduced to the integration
of a single ordinary differential equation along the bi-parametric fam
ily of characteristic rays. Accurate expressions for the radiative pro
cesses relevant to continuum transfer in a hot astrophysical plasma ha
ve been used in evaluating the source term, including relativistic e-p
, e-e bremsstrahlung and Compton scattering. A numerical code for the
solution of the transfer problem in moving media in a Schwarzschild sp
acetime has been developed and tested. Some applications, concerning '
'hot'' and ''cold'' accretion onto nonrotating black holes as well as
static atmospheres around neutron stars, are presented and discussed.