Two loop and all loop finite 4-metrics

Details Two loop and all loop finite 4-metrics Two loop and all loop finite 4-metrics

1999-05-21

arxiv.org/abs/hep-th/9905154v1

Class.Quant.Grav.16:L71-L73,1999

Physics

High Energy Physics

High Energy Physics - Theory

4 pages Latex file, no figures

Scientific paper

10.1088/0264-9381/16/10/103

In pure Einstein theory, Ricci flat Lorentzian 4-metrics of Petrov types III or N have vanishing counter terms up to and including two loops. Moreover for pp-waves and type-N spacetimes of Kundt's class which admit a non-twisting, non expanding, null congruence all possible invariants formed from the Weyl tensor and its covariant derivatives vanish. Thus these Lorentzian metrics suffer no quantum corrections to all loop orders. By contrast for complete non-singular Riemannian metrics the two loop counter term vanishes only if the metric is flat.

Affiliated with

Also associated with

No associations

Rating

Two loop and all loop finite 4-metrics 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 Two loop and all loop finite 4-metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two loop and all loop finite 4-metrics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-80642