Gravitational collapse with charge and small asymmetries. II. Interacting electromagnetic and gravitational perturbations.
Abstract
Paper I analyzed the evolution of nonspherical scalarfield 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 gaugeinvariant manner by using the Hamiltonian (Moncrief s) approach and the NewmanPenrose formalism, and the relations between the fundamental quantities of these two methods were obtained. It is shown that scalarfield perturbations are a prototype for coupled perturbations. The collapse produces a ReissnerNordström black hole, and the perturbations are radiated away completely. Alllpole 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.
 Publication:

General Relativity and Gravitation
 Pub Date:
 March 1980
 DOI:
 10.1007/BF00756232
 Bibcode:
 1980GReGr..12..195B
 Keywords:

 Black Holes (Astronomy);
 Gravitational Collapse;
 Gravitational Waves;
 Stellar Evolution;
 Asymmetry;
 Coupling;
 Electric Charge;
 Electromagnetic Radiation;
 Gauge Invariance;
 Hamiltonian Functions;
 Perturbation;
 Scalars;
 Wave Equations;
 Astrophysics;
 Gravitational Collapse