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General Relativity and Gravitation

, Volume 20, Issue 5, pp 427–436 | Cite as

A class of solutions of Einstein's equations for the interior of a rigidly rotating perfect fluid

  • E. Kyriakopoulos
Research Articles

Abstract

A general class of solutions of Einstein's equations for the interior of a rigidly rotating axisymmetric perfect fluid is presented, which depends on an arbitrary function. To get solutions explicitly one has to calculate two integrals involving the arbitrary function. The equipressure surfaces of all solutions of the class are spheres or planes. A family of solutions, which depend on four arbitrary real constants, is calculated explicitly. The solution of the family, which is obtained if we assign a specific value to one of its parameters, and which was found before, is futher generalized with the addition of one more parameter.

Keywords

General Class Differential Geometry Arbitrary Function Real Constant Perfect Fluid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Bonanos, S., and Sklavenitis, D. (1985).J. Math. Phys.,26, 2275.Google Scholar
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    Sklavenitis, D. (1985).J. Math. Phys.,26, 2279.Google Scholar
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    Kyriakopoulos, E. (1987).J. Math. Phys.,28, 2162.Google Scholar
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    Kyriakopoulos, E. (1987). Matching in a class of stationary axisymmetric perfect fluid solutions of Einstein's equations, NTUA preprint.Google Scholar
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    Sklavenitis, D. (1986). Thesis, University of Thessaloniki, Thessaloniki.Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • E. Kyriakopoulos
    • 1
  1. 1.Department of PhysicsNational Technical University of AthensAthensGreece

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