Conformal geodesics on vacuum space-times
type: Item
instance of: scholarly article
title: Conformal geodesics on vacuum space-times
zbMATH Open document ID: 1040.53079
author: Helmut Friedrich
published in: Communications in Mathematical Physics
publication date: 2003-08-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/gr-qc/0201006
review text: Some properties of conformal geodesics on general space-times, specialized to vacuum space-times are discussed. After specializing further to warped product vacuum space-times a conformal Gauss system on the Schwarzschild-Kruskal space-time is analyzed. Expressions for the conformal geodesics determined by suitably chosen initial data are derived in terms of elliptic and theta functions. It is shown that the curves extend smoothly through null infinity and that the associated conformal factor defines a smooth conformal extension if the congruence is regular.
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 83C10
zbMATH DE Number: 1964926
zbMATH Keywords: conformal geodesics
zbMATH Keywords: space-time
zbMATH Keywords: gravitational field
reviewed by: Marian Ioan Munteanu
MaRDI profile type: Publication
OpenAlex ID: W2053603013
arXiv ID: gr-qc/0201006
DOI: 10.1007/S00220-003-0794-8
description: scientific article