Lorentzian spectral geometry for globally hyperbolic surfaces

DOI10.4310/ATMP.2016.v20.n4.a3zbMath1360.58014arXiv1411.3578MaRDI QIDQ727678

Olaf Müller, Felix Finster

Publication date: 20 December 2016

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3578

zbMATH Keywords

globally hyperbolicfermionic signature operatorLorentzian surface

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Elliptic equations on manifolds, general theory (58J05)

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The fermionic signature operator and quantum states in Rindler space-time ⋮ The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states ⋮ A skeletal model for \(2\mathrm{d}\) conformal AQFTs ⋮ A canonical complex structure and the bosonic signature operator for scalar fields in globally hyperbolic spacetimes ⋮ Lorentzian spectral geometry with causal sets ⋮ The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave ⋮ The fermionic signature operator in the exterior Schwarzschild geometry ⋮ Black holes in Einstein–Maxwell theory

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