Vacuum polarization for lukewarm black holes

Abstract

We compute the renormalized expectation value of the square of a quantum scalar field on a Reissner-Nordstrom-de Sitter black hole in which the temperatures of the event and cosmological horizons are equal (`lukewarm' black hole). Our numerical calculations for a thermal state at the same temperature as the two horizons indicate that this renormalized expectation value is regular on both the event and cosmological horizons. We are able to show analytically, using an approximation for the field modes near the horizons, that this is indeed the case.

19 pages, 9 figures, revtex4. Minor changes only, accepted for publication in Physical Review D

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Cited by in corpus (23)

• Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums
• Regular black holes in an asymptotically de Sitter universe
• A Mode-Sum Prescription for Vacuum Polarization in Odd Dimensions
• Vacuum polarization in asymptotically anti-de Sitter black hole geometries
• Inside the degenerate horizons of regular black holes
• Pade Approximants of the Green Function in Spherically Symmetric Spacetimes
• Vacuum Polarization on the Schwarzschild Metric with a Cosmic String
• DeWitt-Schwinger Renormalization and Vacuum Polarization in d Dimensions
• Hadamard Renormalization of the Stress Energy Tensor in a Spherically Symmetric Black Hole Space-Time with an Application to Lukewarm Black Holes
• Extended Green-Liouville asymptotics and vacuum polarization for lukewarm black holes
• Scalar cosmological perturbations from inflationary black holes
• Renormalized Vacuum Polarization and Stress Tensor on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String
• Hadamard Renormalisation of the Stress Energy Tensor on the Horizons of a Spherically Symmetric Black Hole Space-Time
• Vacuum polarization of the quantized massive scalar field in Reissner-Nordström spacetime
• Vacuum polarization on topological black holes with Robin boundary conditions
• Vacuum polarization on the brane
• Semiclassical lukewarm black holes
• Vacuum polarization in asymptotically Lifshitz black holes
• Lukewarm black holes in quadratic gravity
• Vacuum polarization on topological black holes
• Computation of $⟨{\Phi }^2⟩$ and quantum fluxes at the polar interior of a spinning black hole
• Quantum kicks near a Cauchy horizon
• Vacuum polarization in the Schwarzschild black hole with a global monopole