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The Unruh state for massless fermions on Kerr spacetime and its Hadamard property
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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 H\"afner-Nicolas scattering theory, new microlocal estimates for characteristic Cauchy problems and criteria on the level of square-integrable solutions.
Forward citations
Cited by 2 Pith papers
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Uniqueness of null-local modular flow
For the free massless scalar in a Minkowski causal diamond, the vacuum is the unique state or weight in the vacuum sector whose modular flow is local on the null boundary.
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The Teukolsky scalar as a gateway for quantizing gravity on rotating black holes
A Hadamard Unruh state is claimed for quantized Teukolsky scalars on subextreme Kerr, using an enlarged hermitian Green-hyperbolic operator.
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