Metrics With Vanishing Quantum Corrections

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dc.creatorColey, A. A.
dc.creatorGibbons, G. W.
dc.creatorHervik, S.
dc.creatorPope, C. N.
dc.date2008-03-17
dc.date.accessioned2026-07-07T11:33:13Z
dc.date.available2026-07-07T11:33:13Z
dc.descriptionWe investigate solutions of the classical Einstein or supergravity equations that solve any set of quantum corrected Einstein equations in which the Einstein tensor plus a multiple of the metric is equated to a symmetric conserved tensor $T_{μν}$ constructed from sums of terms the involving contractions of the metric and powers of arbitrary covariant derivatives of the curvature tensor. A classical solution, such as an Einstein metric, is called {\it universal} if, when evaluated on that Einstein metric, $T_{μν}$ is a multiple of the metric. A Ricci flat classical solution is called {\it strongly universal} if, when evaluated on that Ricci flat metric, $T_{μν}$ vanishes. It is well known that pp-waves in four spacetime dimensions are strongly universal. We focus attention on a natural generalisation; Einstein metrics with holonomy ${\rm Sim} (n-2)$ in which all scalar invariants are zero or constant. In four dimensions we demonstrate that the generalised Ghanam-Thompson metric is weakly universal and that the Goldberg-Kerr metric is strongly universal; indeed, we show that universality extends to all 4-dimensional ${\rm Sim}(2)$ Einstein metrics. We also discuss generalizations to higher dimensions.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0803.2438
dc.identifierhttp://arxiv.org/abs/0803.2438
dc.identifierClass.Quant.Grav.25:145017,2008
dc.identifierdoi:10.1088/0264-9381/25/14/145017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197818
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleMetrics With Vanishing Quantum Corrections
dc.typetext

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