General Relativity and Gravitation

, Volume 12, Issue 3, pp 195–204 | Cite as

Gravitational collapse with charge and small asymmetries. II. Interacting electromagnetic and gravitational perturbations

  • Jiří Bičák
Research Articles
First Online:
Received:

Abstract

Paper I analyzed the evolution of nonspherical scalar-field perturbations of an electrically charged, collapsing star; this paper treats coupled electromagnetic and gravitational perturbations. It employs the results of recent detailed work in which coupled perturbations were studied in a gauge-invariant manner by using the Hamiltonian (Moncrief s) approach and the Newman-Penrose formalism, and the relations between the fundamental quantities of these two methods were obtained.

It is shown that scalar-field perturbations are a prototype for coupled perturbations. The collapse produces a Reissner-Nordström black hole, and the perturbations are radiated away completely. Alll-pole parts of the perturbations of the metric and the electromagnetic field decay according to power laws; in the extreme case (e2 =M2), the interaction causes the quadrupole perturbations to die out more slowly than the dipole perturbations.

Keywords

Black Hole Electromagnetic Field Extreme Case Differential Geometry Gravitational Collapse 
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.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bičák, J. (1972).Gen. Rel. Grav.,3, 331.ADSCrossRefGoogle Scholar
  2. 2.
    Zerilli, F. J. (1974).Phys. Rev. D,9, 860.ADSCrossRefGoogle Scholar
  3. 3.
    Sibatullin, N. R., and Alekseev, G. A. (1974).Zh. Eksp. Teor. Fiz.,67, 1233.ADSGoogle Scholar
  4. 4.
    Moncrief, V. (1974).Phys. Rev. D,9, 2707.ADSCrossRefGoogle Scholar
  5. 5.
    Moncrief, V. (1974).Phys. Rev. D,10, 1057.ADSCrossRefGoogle Scholar
  6. 6.
    Moncrief, V. (1975).Phys. Rev. D,12, 1526.ADSCrossRefGoogle Scholar
  7. 7.
    Stewart, J. M., and Walker, M. (1974).Proc. R. Soc. London Ser. A,341, 49.ADSCrossRefGoogle Scholar
  8. 8.
    Chitre, D. M. (1976).Phys. Rev. D,13, 2713.ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    Lee, C. H. (1976).J. Math. Phys.,17, 1226.ADSCrossRefGoogle Scholar
  10. 10.
    Chandrasekhar, S. (1979).Proc. R. Soc. London Ser. A,365, 453.ADSMathSciNetCrossRefGoogle Scholar
  11. 11.
    Bičák, J. (1979).Czech. J. Phys. B,29, 945.ADSCrossRefGoogle Scholar
  12. 12.
    Price, R. (1972).Phys. Rev. D,5, 2419;5, 2439.ADSMathSciNetCrossRefGoogle Scholar
  13. 13.
    Teukolsky, S. A. (1973).Astrophys. J.,185, 635.ADSCrossRefGoogle Scholar
  14. 14.
    Bičák, J. (1977).Pays. Lett.,64A, 279.ADSGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • Jiří Bičák
    • 1
  1. 1.Department of Mathematical Physics, Faculty of Mathematics and PhysicsThe Charles UniversityPrague 8Czech Republic

Personalised recommendations