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

Abstract

We calculate the renormalized vacuum polarization and stress tensor for a massless, arbitrarily coupled scalar field in the Hartle-Hawking vacuum state on the horizon of a Schwarzschild black hole threaded by an infinte straight cosmic string. This calculation relies on a generalized Heine identity for non-integer Legendre functions which we derive without using specific properties of the Legendre functions themselves.

This is an expanded version of a previous submission, we have added the calculation of the stress tensor. 28 pages, 7 figures

References in corpus (2)

• Vacuum polarization for lukewarm black holes
• Vacuum Polarization on the Schwarzschild Metric with a Cosmic String

Cited by in corpus (4)

• Versatile method for renormalized stress-energy computation in black-hole spacetimes
• 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
• Vacuum Polarization of STU Black Holes and their Subtracted Geometry Limit