Flat deformation of a spacetime admitting two Killing fields

Details Flat deformation of a spacetime admitting two Killing fields Flat deformation of a spacetime admitting two Killing fields

2009-07-21

arxiv.org/abs/0907.3608v2

Class.Quant.Grav.27:245006,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/27/24/245006

It is shown that given an analytic Lorentzian metric on a 4-manifold, $g$, which admits two Killing vector fields, then it exists a local deformation law $\eta = a g + b H$, where $H$ is a 2-dimensional projector, such that $\eta$ is flat and admits the same Killing vectors. We also characterize the particular case when the projector $H$ coincides with the quotient metric. We apply some of our results to general stationary axisymmetric spacetimes

Affiliated with

Also associated with

No associations

Rating

Flat deformation of a spacetime admitting two Killing fields 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 Flat deformation of a spacetime admitting two Killing fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Flat deformation of a spacetime admitting two Killing fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-175699