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

Mathematical Physics 2010-07-02 v3 General Relativity and Quantum Cosmology math.MP Quantum Physics

Abstract

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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Cite

@article{arxiv.1006.4520,
  title  = {Renormalized Vacuum Polarization on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String},
  author = {Adrian Ottewill and Peter Taylor},
  journal= {arXiv preprint arXiv:1006.4520},
  year   = {2010}
}

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