Gravitational collapse with charge and small asymmetries. I. Scalar perturbations.

Details Gravitational collapse with charge and small asymmetries. I. Scalar perturbations. Gravitational collapse with charge and small asymmetries. I. Scalar perturbations.

Dec 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972gregr...3..331b&link_type=abstract

General Relativity and Gravitation, Volume 3, Issue 4, pp.331-349

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67

Scientific paper

A recent analysis by Richard Price of spherical collapse with small nonspherical perturbations is here generalized to the case of an electrically charged collapsing star (0¦Q¦-M). The perturbations are confined to a scalar field generated by a nonspherical distribution of “scalar charge” in the star. As in the electrically neutral case, the scalar perturbations are probably a prototype for all others — electromagnetic, gravitational, and higherspin. The collapse is shown to produce a Reissner-Nordström black hole, and the scalar-field perturbations are shown to radiate completely away; but they die out more slowly the larger is the star's electric charge. For charge ¦Q¦M, the ℓ-pole part of the perturbation at fixedr and late times is dominated by a “tail” that dies out ast -(2ℓ+ 2). But for ¦Q¦=M, the primary outgoing waves emitted from the star's surface are everywhere larger than the “tail”. At fixedr and late times they die as t-(ℓ+2). Also, a calculation of the redshift shows that a collapsing star becomes “black” more slowly the larger is the star's electric charge.

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