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Hot, Rotating Disks in General Relativity: Collisionless Equilibrium Models

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.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Teukolsky, Saul A.0000-0001-9765-4526
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.
Funding AgencyGrant Number
NSFPHY 94-08378
NSFAST 96-18524
NASANAG 5-3420
Subject Keywords:accretion, accretion disks; relativity
Issue or Number:1
Record Number:CaltechAUTHORS:20180629-150830138
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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
Deposited By: George Porter
Deposited On:29 Jun 2018 22:59
Last Modified:15 Nov 2021 20:48

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