Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-17
Class.Quant.Grav.25:145017,2008
Physics
High Energy Physics
High Energy Physics - Theory
23 pages
Scientific paper
10.1088/0264-9381/25/14/145017
We 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 $T_{\mu \nu}$ 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, $T_{\mu \nu}$ is a multiple of the metric. A Ricci flat classical solution is called {\it strongly universal} if, when evaluated on that Ricci flat metric, $T_{\mu \nu}$ 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.
Coley Alan A.
Gibbons Gary W.
Hervik Sigbjorn
Pope Christopher N.
No associations
LandOfFree
Metrics With Vanishing Quantum Corrections does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Metrics With Vanishing Quantum Corrections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Metrics With Vanishing Quantum Corrections will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-646230