Electrodynamics Around Schwarzschild and Reissner-Nordstrom Black Holes
Maya Watanabe
(Monash University, Australia)
Coauthor(s): Anthony Lun
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In 1927, Copson found an exact fundamental solution for an electric charge outside a Schwarzschild black hole using Hadamard's methods in isotropic coordinates. The solution has various interpretations, one of which was expounded by Linet in 1976. Linet interpreted the solution as representing two electric charges of equal strength and sign, one lying inside and one lying outside the event horizon of a Schwarzschild black hole. In the same regard, it is possible to reinterpret the solution to represent two electric charges of opposite sign lying inside and outside the horizon. We use Copson's solution to construct this scenario and study the electrodynamics of this electric dipole situation. Further we generalize the solution to look at the Reissner-Nordstrom case and consider the possible electrodynamical processes around nonrotating, charged and uncharged black holes. We find that our solution reduces to the Schwarzschild black hole when the charge outside the black hole is placed on the horizon.