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Article
Quantum corrections to the Schwarzschild and Kerr metrics
Physical Review D (2003)
  • N. E. J. Bjerrum-Bohr
  • John Donoghue, University of Massachusetts - Amherst
  • Barry R. Holstein
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 selfinteractions imply the presence of nonanalytic pieces ;A2q2,;q2ln2q2, etc., in the form factors of the energy-momentum tensor and that these correspond to long range modifications of the metric tensor gmn of the form G2m2/r2,G2m\/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.
Disciplines
Publication Date
October 17, 2003
Publisher Statement
DOI: 10.1103/PhysRevD.68.084005
Citation Information
N. E. J. Bjerrum-Bohr, John Donoghue and Barry R. Holstein. "Quantum corrections to the Schwarzschild and Kerr metrics" Physical Review D Vol. 68 Iss. 8 (2003)
Available at: http://works.bepress.com/john_donoghue/136/