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One-loop Quantum Gravity in Schwarzschild Spacetime

Bruce P. Jensen·John G. Mc Laughlin·Adrian C. Ottewill
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Abstract

The quantum theory of linearized perturbations of the gravitational field of a Schwarzschild black hole is presented. The fundamental operators are seen to be the perturbed Weyl scalars $\dotΨ_0$ and $\dotΨ_4$ associated with the Newman-Penrose description of the classical theory. Formulae are obtained for the expectation values of the modulus squared of these operators in the Boulware, Unruh and Hartle-Hawking quantum states. Differences between the renormalized expectation values of both $\bigl| \dotΨ_0 \bigr|^2$ and $\bigl| \dotΨ_4 \bigr|^2$ in the three quantum states are evaluated numerically.

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Bruce P. Jensen, John G. Mc Laughlin, Adrian C. Ottewill. 1994-12-23. One-loop Quantum Gravity in Schwarzschild Spacetime. https://doi.org/10.1103/physrevd.51.5676

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