An approximation scheme for scalar waves in a SChwarzschild geometry.

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Black Holes, Relativity Theory:Schwarzschild Metric

Scientific paper

The Schwarzschild geometry is approximated by a certain set of conformally flat shells. As an example of the use of this approximation, the transmission coefficientT for spherical waves of monochromatic scalar radiation imploding on the black hole is calculated by solving the scalar wave equation within each conformally flat space and matching across the interfaces. The results agree with those of other authors for low and high frequencies and give values ofT at all intermediate frequencies.

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