Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena
Scientific paper
2011-10-29
Astronomy and Astrophysics
Astrophysics
High Energy Astrophysical Phenomena
11 pages, 8 figures, MNRAS accepted
Scientific paper
We present an analytical solution for thin disk accretion onto a Kerr black hole that extends the standard Novikov-Thorne alpha-disk in three ways: (i) it incorporates nonzero stresses at the inner edge of the disk, (ii) it extends into the plunging region, and (iii) it uses a corrected vertical gravity formula. The free parameters of the model are unchanged. Nonzero boundary stresses are included by replacing the Novikov-Thorne no torque boundary condition with the less strict requirement that the fluid velocity at the innermost stable circular orbit is the sound speed, which numerical models show to be the correct behavior for luminosities below ~30% Eddington. We assume the disk is thin so we can ignore advection. Boundary stresses scale as alpha*h and advection terms scale as h^2 (where h is the disk opening angle (h=H/r)), so the model is self-consistent when h < alpha. We compare our solution with slim disk models and general relativistic magnetohydrodynamic disk simulations. The model may improve the accuracy of black hole spin measurements.
McKinney Jonathan C.
Penna Robert F.
Sadowski Aleksander
No associations
LandOfFree
Thin Disk Theory with a Non-Zero Torque Boundary Condition and Comparisons with Simulations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Thin Disk Theory with a Non-Zero Torque Boundary Condition and Comparisons with Simulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thin Disk Theory with a Non-Zero Torque Boundary Condition and Comparisons with Simulations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-12523