The two-centre problem in general relativity - The scattering of radiation by two extreme Reissner-Nordstrom black-holes

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Black Holes (Astronomy), Gravitational Effects, Relativity, Wave Scattering, Angular Momentum, Computational Astrophysics, Electromagnetic Scattering, Gravitational Waves, Partial Differential Equations, Spherical Coordinates

Scientific paper

The space-time of two extreme Reissner-Nordstrom black holes in prolate spheroidal coordinates is discussed. The perturbation problem and the equations governing axial perturbations are presented. The asymptotic behaviors of the solutions at infinity and at the two singularities (where the horizons of the two black holes are located) are studied. It is found that, in the vicinity of the singularities, the gravitational and the electromagnetic radiation prevails as coupled photon-graviton waves expressed in terms of a common amplitude and phase, for each specified angular monmentum.

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