Solution of the Scalar Wave Equation in a Kerr Background by Separation of Variables

Physics

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Scientific paper

The effect of the Kerr gravitational field on wave phenomena is explored by examining the inhomogeneous wave equation for a scalar massive field in a Kerr background geometry. The equation is separated in Boyer-Lindquist coordinates. The angular functions are spheroidal harmonics, and the radial equation is reduced to a one-dimensional Schrödinger equation with an effective potential.

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