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

Article

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

Bičák, J.

Gen. Relativ. Gravit. 12, 195-204 (1980)

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 (e 2 =M 2), the interaction causes the quadrupole perturbations to die out more slowly than the dipole perturbations.

Keywords

BLACK HOLES (ASTRONOMY), GRAVITATIONAL COLLAPSE, GRAVITATIONAL WAVES, STELLAR EVOLUTION, ASYMMETRY, COUPLING, ELECTRIC CHARGE, ELECTROMAGNETIC RADIATION, GAUGE INVARIANCE, HAMILTONIAN FUNCTIONS, PERTURBATION, SCALARS, WAVE EQUATIONS

Institute authors

Bičák, Jiří

BibTeX

@article{UTF257,
  author        = {Bičák, J.},
  title         = {{Gravitational collapse with charge and small asymmetries. II - Interacting electromagnetic and gravitational perturbations}},
  journal       = {Gen. Relativ. Gravit.},
  volume        = {12},
  pages         = {195-204},
  year          = {1980},
  url           = {http://www.springerlink.com/content/t013174057520505/},
}