Isometry germs and related structures

Details Isometry germs and related structures Isometry germs and related structures

2004-12-03

arxiv.org/abs/gr-qc/0412015v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages

Scientific paper

We define an Isometry germ at any given event $x$ of space-time as a vector field $\xi$ defined in a neighborhood of $x$ such that the Lie derivative of both the metric and the Riemannian connection are zero at this event. Two isometry germs can be said to be equivalent if their values and the values of their first derivatives coincide at $x$. The corresponding quotient space can be endowed with a structure of a bracket algebra which is a deformation of de Sitter's Lie algebra. Each isometry germ defines also a local stationary frame of reference, the consideration of the family of adapted coordinate transformations between any two of them leading to a local novel structure that generalizes the Lorentz group.

Affiliated with

Also associated with

No associations

Rating

Isometry germs and related structures 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 Isometry germs and related structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isometry germs and related structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-402961