Quantum Corrections to the Schwarzschild and Kerr Metrics

2002/11/08 by Niels Emil Jannik Bjerrum-Bohr, John F. Donoghue, Barry R. Holstein · 2 citations
Physics and Astronomy · #hep-th #gr-qc #hep-ph

paper · pdf · doi:10.1103/physrevd.68.084005

published as Phys.Rev.D68:084005,2003; Erratum-ibid.D71:069904,2005 · 30 pages, 4 figures

arxiv created 2002/11/08 · arxiv updated 2014/11/17

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 sqrt-q², ln-q², etc. in the form factors of the energy-momentum tensor and that these correspond to long range modifications of the metric tensor g_μν 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.

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