Quantum corrections to the Schwarzschild and Kerr metrics

N. E. J. Bjerrum-Bohr, John F. Donoghue, and Barry R. Holstein
Phys. Rev. D 68, 084005 – Published 17 October 2003; Erratum Phys. Rev. D 71, 069904 (2005)
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Abstract

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,q2lnq2, 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.

  • Received 18 November 2002

DOI:https://doi.org/10.1103/PhysRevD.68.084005

©2003 American Physical Society

Erratum

Erratum: Quantum corrections to the Schwarzschild and Kerr metrics [Phys. Rev. D 68, 084005 (2003)]

N. E. J. Bjerrum-Bohr, John F. Donoghue, and Barry R. Holstein
Phys. Rev. D 71, 069904 (2005)

Authors & Affiliations

N. E. J. Bjerrum-Bohr

  • University of Copenhagen, The Niels Bohr Institute, Blegdamsvej 17, Copenhagen Ø, DK-2100, Denmark

John F. Donoghue

  • Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA

Barry R. Holstein

  • Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
  • Institut für Kernphysik, Forschungszentrum Jülich, D-52425 Jülich, Germany

Comments & Replies

Quantum corrections to the Schwarzschild metric and reparametrization transformations

G. G. Kirilin
Phys. Rev. D 75, 108501 (2007)

Parametrization dependence of the energy-momentum tensor and the metric

N. E. J Bjerrum-Bohr, John F. Donoghue, and Barry R. Holstein
Phys. Rev. D 75, 108502 (2007)

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Vol. 68, Iss. 8 — 15 October 2003

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