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

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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.

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Authors and Affiliations

  1. Department of Mathematical Physics, Faculty of Mathematics and Physics, The Charles University, Povltavská ul, Pelc Tyrolka, 180 00, Prague 8, Czech Republic

    Jiří Bičák

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  1. Jiří Bičák
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Bičák, J. Gravitational collapse with charge and small asymmetries. II. Interacting electromagnetic and gravitational perturbations. Gen Relat Gravit 12, 195–204 (1980). https://doi.org/10.1007/BF00756232

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  • DOI: https://doi.org/10.1007/BF00756232

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