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  Differentially Rotating Disks of Dust

Ansorg, M., & Meinel, R. (2000). Differentially Rotating Disks of Dust. General Relativity and Gravitation, 32(7), 1365-1380. doi:10.1023/A:1001950922865.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5711-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5712-A
Genre: Journal Article

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1365-1380.pdf (Publisher version), 580KB
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 Creators:
Ansorg, Marcus1, Author
Meinel, Reinhard, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 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.

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 Dates: 2000-07
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 367504
DOI: 10.1023/A:1001950922865
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Title: General Relativity and Gravitation
  Alternative Title : Gen. Relativ. Gravit.
Source Genre: Journal
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Pages: - Volume / Issue: 32 (7) Sequence Number: - Start / End Page: 1365 - 1380 Identifier: ISSN: 1572-9532