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

Astronomy and Astrophysics – Astronomy

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

Scientific paper

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 work in which coupled perturbations were studied in a gauge-invariant manner using the Hamiltonian (Moncrief's) approach and the Newman-Penrose formalism. It is shown that scalar-field perturbations are a prototype for coupled perturbations. The collapse produces a Reissner-Nordstrom black hole, and the perturbations are radiated away completely. All l-pole parts of the perturbations of the metric and the electromagnetic field decay according to power laws; in the extreme case, the interaction causes the quadrupole perturbations to die out more slowly than the dipole perturbations.

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