Three-dimensional spacetimes of maximal order
General Relativity and Quantum Cosmology
2013-04-16 v3 Mathematical Physics
Differential Geometry
math.MP
Abstract
We show that the equivalence problem for three-dimensional Lorentzian manifolds requires at most the fifth covariant derivative of the curvature tensor. We prove that this bound is sharp by exhibiting a class of 3D Lorentzian manifolds which realize this bound. The analysis is based on a three-dimensional analogue of the Newman-Pen-rose formalism, and spinorial classification of the three-dimensional Ricci tensor.
Keywords
Cite
@article{arxiv.1210.6920,
title = {Three-dimensional spacetimes of maximal order},
author = {Robert Milson and Lode Wylleman},
journal= {arXiv preprint arXiv:1210.6920},
year = {2013}
}
Comments
final revisions