Radiative transport in spherical static spacetime - General relativistic tangent-ray method for the variable Eddington factors

Details Radiative transport in spherical static spacetime - General relativistic tangent-ray method for the variable Eddington factors Radiative transport in spherical static spacetime - General relativistic tangent-ray method for the variable Eddington factors

Nov 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...346..350s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 346, Nov. 1, 1989, p. 350-365.

Statistics

Computation

23

Computational Astrophysics, Neutrinos, Radiative Transfer, Relativity, Atmospheric Scattering, Gravitational Fields, Space-Time Functions

Scientific paper

Techniques and some simple analytic and numerical test problems for radiative transfer in spherically symmetric spacetime are presented. It is demonstrated that, by choosing momentum variables that are constant along null geodesics, derivatives of these momenta do not appear in the differential operator on the left-hand side of the transport equation. It is shown that in dynamic, spherically symmetric spacetime, the angular momentum and its component along the polar axis are two such momentum variables. In the time-dependent transport equation, only the momentum space derivative remains. If spacetime is static, an additional conserved quantity is found which, together with another conserved quantity, can be used to find the generally relativistic tangent-ray equations. An analytic solution to these equations is found for certain simple choices of opacity in the nonrelativistic limit.

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