Jump to ContentJump to Main Navigation
Advanced General RelativityGravity Waves, Spinning Particles, and Black Holes$
Users without a subscription are not able to see the full content.

Claude Barrabès and Peter A. Hogan

Print publication date: 2013

Print ISBN-13: 9780199680696

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199680696.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 07 March 2021

Minkowskian space–time

Minkowskian space–time

Chapter:
(p.1) 1 Minkowskian space–time
Source:
Advanced General Relativity
Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199680696.003.0001

The relationship between the proper, orthochronous Lorentz group, the special linear group of 2×2 matrices with complex entries and unit determinant, and the group of fractional linear transformations of the extended complex plane is explicitly described with examples. The existence of non-singular and singular Lorentz transformations is explained as are infinitesimal Lorentz transformations and their close similarity to electromagnetic fields. This chapter demonstrates how a natural generalization of Lorentz transformations leads to a construction of an impulsive gravitational wave.

Keywords:   Lorentz group, singular Lorentz transformations, infinitesimal Lorentz transformations, impulsive gravitational wave

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .