Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-12-23
Phys.Rev.D51:5676-5697,1995
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
39 pages, 11 Postscript figures, using revtex
Scientific paper
10.1103/PhysRevD.51.5676
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.
Jensen Bruce P.
Mc Laughlin John G.
Ottewill Adrian C.
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