Formal iteration scheme for scalar fields in some spherically symmetric spaces

Details Formal iteration scheme for scalar fields in some spherically symmetric spaces Formal iteration scheme for scalar fields in some spherically symmetric spaces

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..609t&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 6, pp.609-622

Physics

1

Scientific paper

The characteristic initial-value problem for the scalar wave equation in some spherically symmetrical geometries, including Reissner-Nordström exterior geometry, is considered. A modified Picard iteration making explicit use of the (known) static solutions yields a formula for the fields. The formulas extend in to the outer horizon, and from them are obtained useful expressions for the reflection and transmission amplitudes in terms of the static solutions.

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