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- Title
Differentially Rotating Disks of Dust.
- Authors
Ansorg, Marcus; Meinel, Reinhard
- Abstract
We present a three-parameter family of solutions to the stationary axisymmetric Einstein equations that describe differentially rotating disks of dust. They have been constructed by generalizing the Neugebauer—Meinel solution of the problem of a rigidly rotating disk of dust. The solutions correspond to disks with angular velocities depending monotonically on the radial coordinate; both decreasing and increasing behaviour is exhibited. In general, the solutions are related mathematically to Jacobi's inversion problem and can be expressed in terms of Riemann theta functions. A particularly interesting two-parameter subfamily represents Bäcklund transformations to appropriate seed solutions of the Weyl class.
- Publication
General Relativity & Gravitation, 2000, Vol 32, Issue 7, p1365
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1023/A:1001950922865