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Advanced General RelativityGravity Waves, Spinning Particles, and Black Holes$
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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

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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: 16 October 2021

Plane gravitational waves

Plane gravitational waves

Chapter:
(p.10) 2 Plane gravitational waves
Source:
Advanced General Relativity
Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199680696.003.0002

Starting with plane gravitational waves of arbitrary profile as solutions of Einstein’s vacuum field equations in the linear approximation a sequence of gauge transformations results in a metric tensor which is an exact solution of the vacuum field equations. The Khan–Penrose solution of Einstein’s vacuum field equations describing the gravitational field following the head-on collision of plane gravitational impulsive waves is derived. The head-on collision of electromagnetic and gravitational shock waves is discussed with the latter collision resulting in the appearance of ‘dark energy’ in the gravitational field following the collision. High-frequency plane and spherical fronted gravitational waves are also discussed.

Keywords:   gravitational impulsive waves, electromagnetic shock waves, gravitational shock waves, dark energy, vacuum field equations

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