Vacuum polarization on topological black holes with Robin boundary conditions
arXiv:2010.01562 · doi:10.1103/PhysRevD.103.045007
Abstract
We compute the renormalized vacuum polarization for a massless, conformally coupled scalar field on asymptotically anti-de Sitter black hole backgrounds. Mixed (Robin) boundary conditions are applied on the spacetime boundary. We consider black holes with nonspherical event horizon topology as well as spherical event horizons. The quantum scalar field is in the Hartle-Hawking state, and we employ Euclidean methods to calculate the renormalized expectation values. Far from the black hole, we find that the vacuum polarization approaches a finite limit, which is the same for all boundary conditions except Dirichlet boundary conditions.
arXiv comment18 pages, 8 figures, very minor changes
References in corpus (56)
- 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
- Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
- Two-Dimensional Black Holes and Planar General Relativity
- Scalar field quantization on the 2+1 dimensional black hole background
- Formation of Topological Black holes from Gravitational Collapse
- Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics
- 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
- The BTZ black hole violates strong cosmic censorship
- One-loop Quantum Gravity in Schwarzschild Spacetime
- Mode-sum regularization of in the angular-splitting method
- Quantum fluxes at the inner horizon of a spherical charged black hole
- The massive wave equation in asymptotically AdS spacetimes
- Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes
- Analysis of quantum effects inside spherical charged black holes
- Renormalized stress-energy tensor for stationary black holes
- Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities
- Ground states of a Klein-Gordon field with Robin boundary conditions in global anti-de Sitter spacetime
- Strong cosmic censorship in the BTZ black hole
- Quantum-corrected black holes and naked singularities in (2+1)-dimensions
- Quantum dress for a naked singularity
- Mode solutions for a Klein-Gordon field in anti-de Sitter spacetime with dynamical boundary conditions of Wentzell type
- 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
- Algebraic quantum field theory on spacetimes with timelike boundary
- Vacuum Polarization on the Schwarzschild Metric with a Cosmic String
- On the algebraic quantization of a massive scalar field in anti-de-Sitter spacetime
- Hadamard Renormalization of the Stress Energy Tensor in a Spherically Symmetric Black Hole Space-Time with an Application to Lukewarm Black Holes
- Vacuum polarization around a three-dimensional black hole
- Quantum Scalar Field on the Massless (2+1)-Dimensional Black Hole Background
- 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
- Mode-sum renormalization of for a quantum scalar field inside a Schwarzschild black hole
- Hadamard Renormalisation of the Stress Energy Tensor on the Horizons of a Spherically Symmetric Black Hole Space-Time
- Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions
- Renormalized vacuum polarization on rotating warped AdS3 black holes
- Vacuum polarization on the brane
- Vacuum polarization in asymptotically Lifshitz black holes
- Instability of asymptotically anti de Sitter black holes under Robin conditions at the timelike boundary
- Vacuum polarization on topological black holes
- Vacuum polarization for varying quantum scalar field parameters in Schwarzschild-anti-de Sitter spacetime