Electric Charge in Interaction with Magnetically Charged Black Holes - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: We examine the angular momentum of an electric charge e placed at restoutside a dilaton black hole with magnetic charge Q. The electromagneticangular momentum which is stored in the electromagnetic field outside the blackhole shows several common features regardless of the dilaton coupling strength,though the dilaton black holes are drastically different in their spacetimestructure depending on it. First, the electromagnetic angular momentum dependson the separation distance between the two objects and changes monotonicallyfrom eQ to 0 as the charge goes down from infinity to the horizon, ifrotational effects of the black hole are discarded. Next, as the black holeapproaches extremality, however, the electromagnetic angular momentum tends tobe independent of the distance between the two objects. It is then precisely$eQ$ as in the electric charge and monopole system in flat spacetime. Wediscuss why these effects are exhibited and argue that the above features areto hold in widely generic settings including black hole solutions in theorieswith more complicated field contents, by addressing the no hair theorem forblack holes and the phenomenon of field expulsion exhibited by extremal blackholes.



Author: J.H. Kim, Sei-Hoon Moon

Source: https://arxiv.org/



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