Hot, Rotating Disks in General Relativity: Collisionless Equilibrium Models | Zendy

A. Katrin Schenk | Zendy; Stuart L. Shapiro | Zendy; Saul A. Teukolsky | Zendy

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Hot, Rotating Disks in General Relativity: Collisionless Equilibrium Models

Author(s) -

A. Katrin Schenk,

Stuart L. Shapiro,

Saul A. Teukolsky

Publication year - 1999

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/307510

Subject(s) - physics , general relativity , classical mechanics , angular momentum , theory of relativity , boltzmann equation , gravitational field , gravitation , relativistic particle , newtonian fluid , quantum mechanics , electron

We present a method for constructing equilibrium disks with net angularmomentum in general relativity. The method solves the relativistic Vlasovequation coupled to Einstein's equations for the gravitational field. We applythe method to construct disks that are relativistic versions of NewtonianKalnajs disks. In Newtonian gravity these disks are analytic, and are stableagainst ring formation for certain ranges of their velocity dispersion. Weinvestigate the existence of fully general relativistic equilibrium sequencesfor differing values of the velocity dispersion. These models are the firstrotating, relativistic disk solutions of the collisionless Boltzman equation.

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