Spacetimes with continuous linear isotropies II: boosts
General Relativity and Quantum Cosmology
2021-07-21 v2
Abstract
Conditions are found which ensure that local boost invariance (LBI), invariance under a linear boost isotropy, implies local boost symmetry (LBS), i.e. the existence of a local group of motions such that for every point in a neighbourhood there is a boost leaving fixed. It is shown that for Petrov type D spacetimes this requires LBI of the Riemann tensor and its first derivative. That is also true for most conformally flat spacetimes, but those with Ricci tensors of Segre type [1(11,1)] may require LBI of the first three derivatives of curvature to ensure LBS.
Cite
@article{arxiv.2104.11913,
title = {Spacetimes with continuous linear isotropies II: boosts},
author = {M. A. H. MacCallum},
journal= {arXiv preprint arXiv:2104.11913},
year = {2021}
}
Comments
Title amended. This is the 'author's accepted manuscript'. To appear in General Relativity and Gravitation. In press. Paper I also in press. Paper III will follow