R. A. Konoplya, Yu-Chun Liu
We shall consider here the two phenomena in the vicinity of a black hole deformed by the tidal gravitational force of the surrounded matter and by a strong magnetic field: equatorial motion of charged particles and the decay of the test scalar field. We have analyzed both phenomena with analytical and simple numerical tools, which was unexpected for the problem with a low symmetry. We have shown that both the tidal gravitational force and the magnetic field enhance strongly the release of the binding energy for the matter spiralling into the black hole. In the presence of the magnetic field, the left and right handed rotations of charged particles are not equivalent and for sufficiently large $|q| B$ there are stable anti-Larmor orbits very close to the event horizon, while Larmor orbits can be stable only being at some distance from a black hole. The larger the tidal force, the closer the innermost stable orbit to the black hole for both types of rotation. It was also shown that the real oscillation frequencies of the characteristic quasinormal modes are considerably suppressed by the tidal force.
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http://arxiv.org/abs/1205.5311
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