Hot, rotating disks in general relativity: Collisionless equilibrium models

A. Katrin Schenk, Stuart L. Shapiro, Saul A. Teukolsky

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)310-318
Number of pages9
JournalAstrophysical Journal
Issue number1 PART 1
StatePublished - Aug 10 1999


  • Accretion, accretion disks
  • Relativity

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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