Limits to the Acceleration of Black Holes

Using the Dirac equation but with a null surfacecondition, we obtain the event horizon equation, and thetemperature function of a rectilinearly acceleratingblack hole with electric-magnetic charge. The cosmic censorship hypothesis implies that theacceleration of a black hole has a limit, which isM/rH2for the rectilinearlyaccelerating black hole. The limit values ofacceleration for other black holes, including the rectilinearly accelerating blackhole with electricmagnetic charge the Kerr–Newmanblack hole, and the Kerr black hole are given.