Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998rhad.book.....p&link_type=abstract
Relativistic hydrodynamic accretion discs around rotating black holes., by Peitz, J.. Heidelberg Univ. (Germany). Naturwissensc
Astronomy and Astrophysics
Astrophysics
Scientific paper
In this work the equations of relativistic dissipative hydrodynamics are formulated in the 3+1 representation, both for the standard Navier-Stokes description, and for the extended causal second-order thermodynamics description. The general equations for arbitrary spacetimes are then specified to the astrophysically relevant case of the Kerr metric. The complete set of time-dependent causal structure equations for vertically integrated, dissipative axisymmetric fluid flows in the equatorial plane of a black hole is given. The stationary structure equations are completed to a model for polytropic accretion discs around rotating black holes. Particular care is given to the description of angular momentum transport. Solutions are computed by a new numerical scheme for stationary transonic flows. The properties of these solutions are very similar to the new branch of hot, optically thin, advection-dominated accretion flows.
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