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General Relativity and Gravitation

, Volume 19, Issue 9, pp 917–925 | Cite as

A family of rotating disks as sources of the Kerr metric

  • Victor Hugo Hamity
  • Walter Lamberti
Research Articles

Abstract

A method of constructing a family of regular rotating disks as sources of the Kerr metric is discussed. The algebraic type of the energy-momentum tensor is analyzed, and it is found that none of the disks satisfies the dominant energy condition and, in some cases, even the weak energy condition is violated. Therefore, if the constructed family includes the totality of sources for the Kerr metric with a disk-like topology, then any physically satisfactory source will not have a disk structure.

Keywords

Energy Condition Differential Geometry Weak Energy Condition Dominant Energy Condition Disk Structure 
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

  1. 1.
    Weyl, H. (1917).Ann. Phys.,34, 117.Google Scholar
  2. 2.
    See, E. G., Kramer, D., Stephani, H., Herlt, E., and MacCallum, M. (1980).Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge).Google Scholar
  3. 3.
    Glass, E. N., and Goldman, S. P. (1978).J. Math. Phys.,19, 856.Google Scholar
  4. 4.
    Israel, W. (1970).Phys. Rev. Lett.,11, 237.Google Scholar
  5. 5.
    Hamity, V. (1976).Phys. Lett. A,56, 77.Google Scholar
  6. 6.
    López, C. A. (1981).Nuovo Cimento B,66, 17.Google Scholar
  7. 7.
    Abramowicz, M. A., Arkuszewski, W., and Muchtrzeb, B. (1976).Lett. Nuovo Cimento,15, 477.Google Scholar
  8. 8.
    Kerr, R. P. (1963).Phys. Rev. Lett.,11, 237.Google Scholar
  9. 9.
    Israel, W. (1966).Nuovo Cimento B,44, 1.Google Scholar
  10. 10.
    Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge).Google Scholar
  11. 11.
    Komar, A. (1959).Phys. Rev.,113, 934.Google Scholar
  12. 12.
    Kinnersley, W., and Kelley, E. F. (1974).J. Math. Phys.,15, 2121.Google Scholar
  13. 13.
    Keres, H. (1967).Zh. Eksper. Teor. Fiz.,52, 768.Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • Victor Hugo Hamity
    • 1
    • 2
  • Walter Lamberti
    • 3
    • 4
  1. 1.Researcher of CONICETArgentina
  2. 2.IMAF and Observatorio Astronómico, UNCCórdobaArgentina
  3. 3.Fellowship-holder of CONICETArgentina
  4. 4.IMAF, UNCLaprida 854Argentina

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