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  Differentially Rotating Disks of Dust: Arbitrary Rotation Law

Ansorg, M. (2001). Differentially Rotating Disks of Dust: Arbitrary Rotation Law. General Relativity and Gravitation, 33(2), 309-338. doi:10.1023/A:1002705402248.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-55BD-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-55BE-F
Genre: Journal Article

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309-338.pdf (Publisher version), 212KB
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 Creators:
Ansorg, Marcus1, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: In this paper, solutions to the Ernst equation are investigated that depend on two real analytic functions defined on the interval [0,1]. These solutions are introduced by a suitable limiting process of Bäcklund transformations applied to seed solutions of the Weyl class. It turns out that this class of solutions contains the general relativistic gravitational field of an arbitrary differentially rotating disk of dust, for which a continuous transition to some Newtonian disk exists. It will be shown how for given boundary conditions (i.e. proper surface mass density or angular velocity of the disk) the gravitational field can be approximated in terms of the above solutions. Furthermore, particular examples will be discussed, including disks with a realistic profile for the angular velocity and more exotic disks possessing two spatially separated ergoregions.

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 Dates: 2001-02
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 367515
DOI: 10.1023/A:1002705402248
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Title: General Relativity and Gravitation
  Alternative Title : Gen. Relativ. Gravit.
Source Genre: Journal
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Pages: - Volume / Issue: 33 (2) Sequence Number: - Start / End Page: 309 - 338 Identifier: ISSN: 1572-9532