Vacuum Polarization on the Schwarzschild Metric with a Cosmic String

Abstract

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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Cited by in corpus (20)

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• Hadamard renormalized scalar field theory on anti-de Sitter space-time
• A Mode-Sum Prescription for Vacuum Polarization in Odd Dimensions
• A Mode-Sum Prescription for Vacuum Polarization in Even Dimensions
• Ingoing Eddington-Finkelstein Metric of an Evaporating Black Hole
• Static Kerr Green's Function in Closed Form and an Analytic Derivation of the Self-Force for a Static Scalar Charge in Kerr Space-Time
• Renormalized Vacuum Polarization and Stress Tensor on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String
• Fermionic vacuum polarization by a flat boundary in cosmic string spacetime
• Induced fermionic currents in de Sitter spacetime in the presence of a compactified cosmic string
• Renormalized vacuum polarization on rotating warped AdS3 black holes
• Vacuum polarization on the brane
• Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime
• Vacuum polarization on topological black holes with Robin boundary conditions
• Induced Fermionic vacuum polarization in dS spacetime with a compactified cosmic string
• Vacuum polarization on topological black holes
• Scalar Casimir densities and forces for parallel plates in cosmic string spacetime
• Semi-Classical Backreaction on Asymptotically Anti-de Sitter Black Holes
• Vacuum bosonic currents induced by a compactified cosmic string in dS background
• A mode-sum prescription for the renormalized stress energy tensor on black hole spacetimes
• Vacuum polarization in the Schwarzschild black hole with a global monopole