A Hadamard Unruh state is claimed for quantized Teukolsky scalars on subextreme Kerr, using an enlarged hermitian Green-hyperbolic operator.
On boundary conditions for linearised Einstein's equations
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abstract
We investigate the properties of a fairly large class of boundary conditions for the linearised Einstein equations in the Riemannian setting, ones which generalise the linearised counterpart of boundary conditions proposed by Anderson. Through the prism of the quest to quantise gravitational waves in curved spacetimes, we study their properties from the point of view of ellipticity, gauge invariance, and the existence of a spectral gap.
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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.