2018/06/01 by Francesco Bussola, Claudio Dappiaggi
Physics and Astronomy · #BTZ black hole #Black Holes and Theoretical Physics #Black hole (networking) #Black hole complementarity #Black hole information paradox #Charged black hole #Cosmology and Gravitation Theories #Event horizon #Geometry #Gravitational wave #Hawking radiation #Horizon #Mathematical physics #Micro black hole #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Quantum tunnelling #Scalar (mathematics) #Scalar field #Schwarzschild radius #Spacetime #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/aaf335
16 pages, 1 figure
arxiv created 2018/06/01 · openalex created_date 2018/06/13 · openalex publication_date 2018/11/23 · arxiv updated 2019/05/22 · openalex updated_date 2026/08/06
Abstract We analyse the local behaviour of the two-point correlation function of a quantum state for a scalar field in a neighbourhood of a Killing horizon in a 2+1-dimensional spacetime, extending the work of Moretti and Pinamonti in a 3+1-dimensional scenario. In particular we show that, if the state is of Hadamard form in such neighbourhood, similarly to the 3+1-dimensional case, under a suitable scaling limit towards the horizon, the two-point correlation function exhibits a thermal behaviour at the Hawking temperature. Since the whole analysis rests on the assumption that a Hadamard state exists in a neighbourhood of the Killing horizon, we show that this is not an empty condition by verifying it for a massive, real scalar field subject to Robin boundary conditions in the prototypic example of a three-dimensional black hole background: the non-extremal, rotating BTZ spacetime.