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Twisted gravitational waves of Petrov type D
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 32018 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 98, no 6, article id 064039Article in journal (Refereed) Published
Abstract [en]

Twisted gravitational waves (TGWs) are nonplanar unidirectional Ricci-flat solutions of general relativity. Thus far only TGWs of Petrov type II are implicitly known that depend on a solution of a partial differential equation and have wave fronts with negative Gaussian curvature. A special Petrov type D class of such solutions that depends on an arbitrary function is explicitly studied in this paper and its Killing vectors are worked out. Moreover, we concentrate on two solutions of this class, namely, the Harrison solution and a simpler solution we call the w-metric and determine their Penrose plane-wave limits. The corresponding transition from a nonplanar TGW to a plane gravitational wave is elucidated.

Place, publisher, year, edition, pages
2018. Vol. 98, no 6, article id 064039
Keywords [en]
general relativity, gravitation, cosmology, astrophysics
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-161069DOI: 10.1103/PhysRevD.98.064039ISI: 000444955600007OAI: oai:DiVA.org:su-161069DiVA, id: diva2:1260270
Available from: 2018-11-01 Created: 2018-11-01 Last updated: 2018-11-01Bibliographically approved

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