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One-loop Quantum Gravity in Schwarzschild Spacetime
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Paper
One-loop Quantum Gravity in Schwarzschild Spacetime
1994
Overview
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 \\(\\dot\\Psi_0\\) and \\(\\dot\\Psi_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| \\dot\\Psi_0 \\bigr|^2\\) and \\(\\bigl| \\dot\\Psi_4 \\bigr|^2\\) in the three quantum states are evaluated numerically.
Publisher
Cornell University Library, arXiv.org
Subject
