Abstract
The method of separation of variables has proved a useful tool with which to address various aspects of the physics of black holes. In this article we will review the progress made using this method in solving various systems of equations in black hole space-time backgrounds. The equations of important physical interest that we shall discuss consist primarily of the linear perturbation equations for various fields. In particular: Maxwell’s equations, Dirac’s equation and the Weyl neutrino equation and the gravitational perturbation equations. We will also discuss generalised Hertz potentials, the Rarita-Schwinger equation and the properties of Teukolsky functions.
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Kalnins, E.G., Miller, W., Williams, G.C. (1999). Separability of Wave Equations. In: Iyer, B.R., Bhawal, B. (eds) Black Holes, Gravitational Radiation and the Universe. Fundamental Theories of Physics, vol 100. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0934-7_3
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DOI: https://doi.org/10.1007/978-94-017-0934-7_3
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