Phys. Rev. D 68, 084005 (2003) [16 pages]Quantum corrections to the Schwarzschild and Kerr metricsSee Also: Erratum Received 18 November 2002; published 17 October 2003 We examine the corrections to the lowest order gravitational interactions of massive particles arising from gravitational radiative corrections. We show how the masslessness of the graviton and the gravitational self-interactions imply the presence of nonanalytic pieces ∼√-q2,∼q2ln-q2, etc., in the form factors of the energy-momentum tensor and that these correspond to long range modifications of the metric tensor gμν of the form G2m2/r2,G2mħ/r3, etc. The former coincide with well known solutions from classical general relativity, while the latter represent new quantum mechanical effects, whose strength and form is necessitated by the low energy quantum nature of the general relativity. We use these results to define a running gravitational charge. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.084005
DOI:
10.1103/PhysRevD.68.084005
PACS:
04.60.-m, 04.20.Cv, 04.40.-b, 11.10.Ef
See AlsoComment: G. G. Kirilin, Quantum corrections to the Schwarzschild metric and reparametrization transformations, Phys. Rev. D 75, 108501 (2007). Comment: N. E. Bjerrum-Bohr, John F. Donoghue, and Barry R. Holstein, Parametrization dependence of the energy-momentum tensor and the metric, Phys. Rev. D 75, 108502 (2007). Erratum: N. E. Bjerrum-Bohr, John F. Donoghue, and Barry R. Holstein, Erratum: Quantum corrections to the Schwarzschild and Kerr metrics [Phys. Rev. D 68, 084005 (2003)], Phys. Rev. D 71, 069904 (2005). |
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