18.12.2024, 13:00
– Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie
On nonlinear Dirichlet forms
Simon Puchert (Jena)
Christiane Klein (York University, UK)
Rotating black holes, which are the kind of black holes we observe in our universe, are an excellent stage on which to explore the effects of quantum physics. One possible approach to do so is the algebraic framework of quantum field theory. In this talk, I present recent advances on the mathematical study of quantum fields on rotating black holes. After an introduction of the spacetime and quantum theory under consideration, I will discuss the construction of a physically motivated state, the Unruh state, and the proof of its Hadamard property. I will also demonstrate how a constraint on the black-hole angular momentum in this proof can be removed by a new geometric result. I will also discuss the leading divergence of the stress-energy tensor of the quantum field at the inner horizon of the black hole and its state-independence.
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