Renormalized Vacuum Polarization on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We obtain an analytic expression for the vacuum polarization on the horizon
of the Schwarzschild black hole threaded by an infinite cosmic string. This
calculation relies on a generalized Heine identity for Legendre functions which
we derive without using specific properties of the Legendre functions
themselves.

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