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 Ψ and Ψ associated with the Newman-Penrose description of the classical theory. Formulas are obtained for the expectation values of the modulus squared of these operators in the Boulware, Unruh, and Hartle-Hawking quantum states. The differences between the renormalized expectation values of both ‖Ψ and ‖Ψ in the three quantum states are evaluated numerically.
- Received 21 December 1994
DOI:https://doi.org/10.1103/PhysRevD.51.5676
©1995 American Physical Society