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P.A. Becker, T. Le (George Mason University)
The structure of the inner region of an advection-dominated accretion disk close to the black hole event horizon is explored by applying asymptotic analysis to the set of conservation equations. The effects of general relativity are incorporated in an approximate way by utilizing a pseudo-Newtonian gravitational potential. The analysis yields unique asymptotic forms for the behaviors of the radial inflow velocity, the density, the sound speed, and the angular velocity, valid close to the event horizon. These behaviors are determined by the values of three constants, namely the accreted specific energy, the accreted specific angular momentum, and the accreted specific entropy. The additional requirement of passage through a sonic point further constrains the problem, leaving only two free constants. By combining the various results we obtain a complete set of inner boundary conditions appropriate for models of advection-dominated accretion onto black holes.
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