Schenk, A. Katrin and Shapiro, Stuart L. and Teukolsky, Saul A. (1999) Hot, Rotating Disks in General Relativity: Collisionless Equilibrium Models. Astrophysical Journal, 521 (1). pp. 310-318. ISSN 0004-637X. doi:10.1086/307510. https://resolver.caltech.edu/CaltechAUTHORS:20180629-150830138
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Abstract
We present a method for constructing equilibrium disks with net angular momentum in general relativity. The method solves the relativistic Vlasov equation coupled to Einstein's equations for the gravitational field. We apply the method to construct disks that are relativistic versions of Newtonian Kalnajs disks. In Newtonian gravity these disks are analytic and are stable against ring formation for certain ranges of their velocity dispersion. We investigate the existence of fully general relativistic equilibrium sequences for differing values of the velocity dispersion. These models are the first rotating, relativistic disk solutions of the collisionless Boltzmann equation.
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| Additional Information: | © 1999. The American Astronomical Society. Received 1998 January 15; accepted 1999 March 16. We thank Mark Scheel and Greg Cook for useful discussions. We also thank Greg Cook for generously sharing a computer code with us. This work has been supported in part by National Science Foundation grant PHY 94-08378 at Cornell University, and by National Science Foundation grant AST 96-18524 and NASA grant NAG 5-3420 at the University of Illinois at Urbana-Champaign. | |||||||||
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| Subject Keywords: | accretion, accretion disks; relativity | |||||||||
| Issue or Number: | 1 | |||||||||
| DOI: | 10.1086/307510 | |||||||||
| Record Number: | CaltechAUTHORS:20180629-150830138 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180629-150830138 | |||||||||
| Official Citation: | A. Katrin Schenk et al 1999 ApJ 521 310 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 87490 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 29 Jun 2018 22:59 | |||||||||
| Last Modified: | 15 Nov 2021 20:48 |
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