Quantum corrections to the Schwarzschild and Kerr metrics
By Niels Emil Jannik Bjerrum-Bohr, John Donoghue, B. Holstein. 2002
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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 ;A2q 2 ,;q 2 ln2q 2 , etc., in the form factors of the energy-momentum tensor and that these correspond to long range modifications of the metric tensorgmn of the form G 2 m 2 /r 2 ,G 2 m\/r 3 , 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.
View Paper: https://www.semanticscholar.org/paper/d9b6e4c9903f84aed051f1d4232dc1824c986d3f
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Citations in the corpus
- On-shell techniques and universal results in quantum gravity (2013, methodology): “For the derivation of these forms, see [7, 54].”
- Scattering of spinning black holes from exponentiated soft factors (2018, background): “This relies on the remarkable fact that conservative and non-conservative long-range effects of interacting black holes can be computed from the scattering of massive point-like sources [23–26].”
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory (2003, methodology): “A number of these calculations have now been performed [82, 93, 83, 86, 102, 103, 90], and it is the results of [57, 56, 21, 20] which are summarized here.”