Some Higher Dimensional Vacuum Solutions

Details Some Higher Dimensional Vacuum Solutions Some Higher Dimensional Vacuum Solutions

2000-07-25

arxiv.org/abs/gr-qc/0007068v1

Class.Quant.Grav. 18 (2001) 509-516

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex2e (amssymb) file, 15 pages

Scientific paper

10.1088/0264-9381/18/3/310

We study an even dimensional manifold with a pseudo-Riemannian metric with arbitrary signature and arbitrary dimensions. We consider the Ricci flat equations and present a procedure to construct solutions to some higher (even) dimensional Ricci flat field equations from the four diemnsional Ricci flat metrics. When the four dimensional Ricci flat geometry correponds to a colliding gravitational vacuum spacetime our approach provides an exact solution to the vacuum Einstein field equations for colliding graviational plane waves in an (arbitrary) even dimensional spacetime. We give explicitly higher dimensional Szekeres metrics and study their singularity behaviors.

Affiliated with

Also associated with

No associations

Rating

Some Higher Dimensional Vacuum Solutions 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 Some Higher Dimensional Vacuum Solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Higher Dimensional Vacuum Solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406526