Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615743 | Journal of Mathematical Analysis and Applications | 2014 | 16 Pages |
Abstract
Given a Lorentzian manifold (M,gL)(M,gL) and a timelike unitary vector field E , we can construct the Riemannian metric gR=gL+2ω⊗ωgR=gL+2ω⊗ω, ω being the metrically equivalent one form to E. We relate the curvature of both metrics, especially in the case of E being Killing or closed, and we use the relations obtained to give some results about (M,gL)(M,gL).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Benjamín Olea,