2020/08/25 by Christian Gérard, Gérard, Christian, Dietrich Häfner +3
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th #math-ph #math.AP #math.MP
paper · pdf · doi:10.48550/arxiv.2008.10995
62 pages; v2: various remarks and references added, to appear in Ann. Sci. E.N.S
openalex publication_date 2020/08/25 · arxiv created 2021/03/22 · arxiv updated 2021/03/24 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We give a rigorous definition of the Unruh state in the setting of massless Dirac fields on slowly rotating Kerr spacetimes. In the black hole exterior region, we show that it is asymptotically thermal at Hawking temperature on the past event horizon. Furthermore, we demonstrate that in the union of the exterior and interior regions, the Unruh state is pure and Hadamard. The main ingredients are the Häfner-Nicolas scattering theory, new microlocal estimates for characteristic Cauchy problems and criteria on the level of square-integrable solutions.