Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime
arXiv:2206.05073 · doi:10.1007/s00023-023-01273-6
Abstract
The study of physical effects of quatum fields in black hole spacetimes, which is related to questions such as the validity of the strong cosmic censorship conjecture, requires a Hadamard state describing the physical situation. Here, we consider the theory of a free scalar field on a Kerr-de Sitter spacetime, focussing on spacetimes with sufficiently small angular momentum of the black hole and sufficiently small cosmological constant. We demonstrate that an extension of the Unruh state, which describes the expected late-time behaviour in spherically symmetric gravitational collapse, can be rigorously constructed for the free scalar field on such Kerr-de Sitter spacetimes. In addition, we show that this extension of the Unruh state is a Hadamard state in the black hole exterior and in the black hole interior up to the inner horizon. This provides a physically motivated Hadamard state for the study of free scalar fields in rotating black hole spacetimes.
arXiv comment42 pages, 4 figures, 2 appendices, version as accepted for publication in Ann. Henri Poincaré
References in corpus (31)
- Quasinormal modes and Strong Cosmic Censorship
- Local Wick Polynomials and Time Ordered Products of Quantum Fields in Curved Spacetime
- Existence of Local Covariant Time Ordered Products of Quantum Fields in Curved Spacetime
- Analytical solution of the geodesic equation in Kerr-(anti) de Sitter space-times
- Strong cosmic censorship in charged black-hole spacetimes: still subtle
- Quantum Instability of the Cauchy Horizon in Reissner-Nordström-deSitter Spacetime
- Strong cosmic censorship in de Sitter space
- Analysis of linear waves near the Cauchy horizon of cosmological black holes
- The renormalized stress tensor in Kerr space-time: general results
- Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
- Microlocal analysis of quantum fields on curved spacetimes: Analytic wavefront sets and Reeh-Schlieder theorems
- Passivity and microlocal spectrum condition
- Strong cosmic censorship for charged de Sitter black holes with a charged scalar field
- Renormalized stress-energy tensor of an evaporating spinning black hole
- Quantum fluxes at the inner horizon of a spherical charged black hole
- Vacuum polarization in the Schwarzschild spacetime and dimensional reduction
- Quantum stress tensor at the Cauchy horizon of Reissner-Nordström-deSitter spacetime
- Two-point function of a quantum scalar field in the interior region of a Reissner-Nordstrom black hole
- Quantum effects near the Cauchy horizon of a Reissner-Nordstrom black hole
- Construction of Hadamard states by characteristic Cauchy problem
- Quantum fluxes at the inner horizon of a spinning black hole
- On the construction of Hartle-Hawking-Israel states across a static bifurcate Killing horizon
- Black hole evaporation in de Sitter space
- Quasinormal modes of small Schwarzschild-de Sitter black holes
- Quantum (dis)charge of black hole interiors
- Two-point function of a quantum scalar field in the interior region of a Kerr black hole
- Quantum fluxes at the inner horizon of a near-extremal spherical charged black hole
- Hadamard state in Schwarzschild-de Sitter spacetime
- Wavefront sets in algebraic quantum field theory
- Maximal Kerr de Sitter spacetimes
- On the behavior of causal geodesics on a Kerr-de Sitter spacetime
Cited by in corpus (7)
- Generalized Black Hole Entropy is von Neumann Entropy
- Backreaction from quantum fluxes at the Kerr inner horizon
- Infinite quantum twisting at the Cauchy horizon of rotating black holes
- Quantum Field Theory in Curved Spacetime (2nd Edition)
- Hadamard property of the Unruh state for massless fermions on Kerr spacetime : the large case
- Computation of and quantum fluxes at the polar interior of a spinning black hole
- Exploring quantum fields in rotating black holes