Black holes in electromagnetic fields and the second law of black hole physics

Physics

Scientific paper

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Scientific paper

By considering charged-particle orbits in axisymmetric stationary electromagnetic fields in a stationary black hole space-time, we derive the condition for the second law of black hole physics and demonstrate its equivalence with the one following from the Smarr formula for the differential mass of the black hole. We show that the relative sign of Ω and pφ, where Ω is the angular velocity of the black hole and pφ = L - eAφ is the mechanical angular momentum of the particle, determines co- or counter-rotating orbit.

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