Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation

Details Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation

2009-04-28

arxiv.org/abs/0904.4368v1

Class.Quant.Grav.26:165009,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages

Scientific paper

10.1088/0264-9381/26/16/165009

A d-dimensional spacetime is "axisymmetric" if it possesses an SO(d-2) isometry group whose orbits are (d-3)-spheres. In this paper, algebraically special, axisymmetric solutions of the higher dimensional vacuum Einstein equation (with cosmological constant) are investigated. Necessary and sufficient conditions for static axisymmetric solutions to belong to different algebraic classes are presented. Then general (possibly time-dependent) axisymmetric solutions are discussed. All axisymmetric solutions of algebraic types II, D, III and N are obtained.

Affiliated with

Also associated with

No associations

Rating

Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation 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 Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712997