Electrostatic boundary value problems in the Schwarzschild background (Q2729248)

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scientific article; zbMATH DE number 1621824
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Electrostatic boundary value problems in the Schwarzschild background
scientific article; zbMATH DE number 1621824

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    Electrostatic boundary value problems in the Schwarzschild background (English)
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    22 January 2002
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    electromagnetic fields
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    black holes
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    With the help of a Green's function method the electrostatic potential of test charge distributions in a Schwarzschild spacetime is given. A multipole expansion of the potential reveals that for an observer at infinity only the monopole term survives if the (arbitrary) charge distribution approaches the horizon. This leads to a Reissner-Nordström black hole. The force on the charge distribution is discussed.
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