Hertz-Bromwich-Debye-Whittaker-Penrose potentials in general relativity

Physics

Scientific paper

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Gravitational Fields, Potential Theory, Relativity, Space-Time Functions, Electromagnetic Fields, Harmonic Analysis, Maxwell Equation, Perturbation Theory, Vacuum, Vector Analysis

Scientific paper

The problem of deriving scalar potentials governing electromagnetic and
gravitational perturbations of vacuum space-times is discussed. For the
case of an algebraically special vacuum background space-time, explicit
formulae for all quantities of physical interest are given in terms of
derivatives of the scalar potential.

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