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Vacuum Polarization on the Schwarzschild Metric with a Cosmic String
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We consider the problem of the renormalization of the vacuum polarization in a symmetry space-time with axial but not spherical symmetry, Schwarzschild space-time threaded by an infinite straight cosmic string. Unlike previous calculations, our framework to compute the renormalized vacuum polarization does not rely on special properties of Legendre functions, but rather has been developed in a way that we expect to be applicable to Kerr space-time.
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Vacuum polarization in the Schwarzschild black hole with a global monopole
On the horizon of a Schwarzschild black hole with a global monopole, the renormalized vacuum polarization of a massless scalar splits, through O(η²), into the naked-monopole value at r_h plus Candelas' Schwarzschild v...
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