On the compatibility of Lorentz-metrics with linear connections on 4-dimensional manifolds

Details On the compatibility of Lorentz-metrics with linear connections on 4-dimensional manifolds On the compatibility of Lorentz-metrics with linear connections on 4-dimensional manifolds

2005-09-16

arxiv.org/abs/gr-qc/0509067v1

J.Phys. A39 (2006) 2995-3010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTex2e, 19 pages, uses iop style files

Scientific paper

10.1088/0305-4470/39/12/009

This paper considers 4-dimensional manifolds upon which there is a Lorentz metric, h, and a symmetric connection and which are originally assumed unrelated. It then derives sufficient conditions on the metric and connection (expressed through the curvature tensor) for the connection to be the Levi-Civita connection of some (local) Lorentz metric, g, and calculates the relationship between g and h. Some examples are provided which help to assess the strength of the sufficient conditions derived.

Affiliated with

Also associated with

No associations

Rating

On the compatibility of Lorentz-metrics with linear connections on 4-dimensional manifolds 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 On the compatibility of Lorentz-metrics with linear connections on 4-dimensional manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the compatibility of Lorentz-metrics with linear connections on 4-dimensional manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-553054