Vacuum polarization on topological black holes
arXiv:1808.04386 · doi:10.1088/1361-6382/aae45b
Abstract
We investigate quantum effects on topological black hole space-times within the framework of quantum field theory on curved space-times. Considering a quantum scalar field, we extend a recent mode-sum regularization prescription for the computation of the renormalized vacuum polarization to asymptotically anti-de Sitter black holes with nonspherical event horizon topology. In particular, we calculate the vacuum polarization for a massless, conformally-coupled scalar field on a four-dimensional topological Schwarzschild-anti-de Sitter black hole background, comparing our results with those for a spherically-symmetric black hole.
arXiv comment32 pages, 6 figures, minor changes, figure 4 corrected, published in Classical and Quantum Gravity
References in corpus (44)
- Large N Field Theories, String Theory and Gravity
- The Black Hole in Three Dimensional Space Time
- Geometry of the 2+1 Black Hole
- The (2+1)-Dimensional Black Hole
- Cylindrical Black Hole in General Relativity
- Topological Black Holes in Anti-de Sitter Space
- Black holes with unusual topology
- Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
- Pair Production of Topological anti de Sitter Black Holes
- Black plane solutions in four dimensional spacetimes
- Rotating Charged Black Strings in General Relativity
- Two-Dimensional Black Holes and Planar General Relativity
- Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
- Scalar field quantization on the 2+1 dimensional black hole background
- Formation of Topological Black holes from Gravitational Collapse
- Charged Topological Black Hole Pair Creation
- Versatile method for renormalized stress-energy computation in black-hole spacetimes
- Pragmatic mode-sum regularization method for semiclassical black-hole spacetimes
- Renormalized stress-energy tensor of an evaporating spinning black hole
- One-loop Quantum Gravity in Schwarzschild Spacetime
- Mode-sum regularization of in the angular-splitting method
- Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities
- Method to compute the stress-energy tensor for the massless spin 1/2 field in a general static spherically symmetric spacetime
- Hadamard renormalized scalar field theory on anti-de Sitter space-time
- Quantum dress for a naked singularity
- Vacuum polarization for lukewarm black holes
- Back-reaction of a conformal field on a three-dimensional black hole
- A Mode-Sum Prescription for Vacuum Polarization in Odd Dimensions
- A Mode-Sum Prescription for Vacuum Polarization in Even Dimensions
- Vacuum polarization in asymptotically anti-de Sitter black hole geometries
- Vacuum Polarization on the Schwarzschild Metric with a Cosmic String
- Hadamard Renormalization of the Stress Energy Tensor in a Spherically Symmetric Black Hole Space-Time with an Application to Lukewarm Black Holes
- Quantum Scalar Field on the Massless (2+1)-Dimensional Black Hole Background
- Vacuum polarization around a three-dimensional black hole
- Quantum field theory on the Bertotti-Robinson space-time
- Extended Green-Liouville asymptotics and vacuum polarization for lukewarm black holes
- in the Spacetime of a Cylindrical Black Hole
- Renormalized Vacuum Polarization and Stress Tensor on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String
- Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions
- Analysis of scalar and fermion quantum field theory on anti-de Sitter space-time
- Hadamard Renormalisation of the Stress Energy Tensor on the Horizons of a Spherically Symmetric Black Hole Space-Time
- Renormalized vacuum polarization on rotating warped AdS3 black holes
- Vacuum polarization on the brane
- Vacuum polarization in asymptotically Lifshitz black holes