Relativistic Roche-Riemann Problems around a Black Hole

Details Relativistic Roche-Riemann Problems around a Black Hole Relativistic Roche-Riemann Problems around a Black Hole

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996pthph..96..917s&link_type=abstract

Progress of Theoretical Physics, Vol. 96, No. 5, pp. 917-932.

Physics

23

Scientific paper

Based on a framework of the hydrodynamics for a fluid star of mass m orbiting a Kerr black hole of mass M >> m, relativistic Roche-Riemann ellipsoids for incompressible fluids are considered. It is found that in the relativistic Roche-Riemann limit for the irrotational Roche-Riemann ellipsoid moving at the innermost stable circular orbit around Kerr black holes, the angular velocity, Ω, becomes Ω2 ~= 0.063637πρ. We also argue implications of present results on the final fate of black hole-neutron star binary systems.

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