Synchrotron radiation from a weakly magnetized Schwarzschild black hole

We consider a synchrotron radiation from a charged particle moving in a bound orbit around a weakly magnetized Schwarzschild black hole (a static black hole immersed into a constant uniform magnetic field) in its equatorial plane, perpendicular to the magnetic field. In particular, we study the case when the Lorentz force acting on the charged particle is directed outward from the black hole. In this case, for sufficiently large values of the particle's energy, the particle moves in a nongeodesic bound orbit with loops. Due to a synchrotron radiation, such an orbit decays to a nongeodesic circular stable orbit. We study this transition and calculate the radiated power and energy loss of the particle.

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