Gravitational waves with distinct wavefronts

Details Gravitational waves with distinct wavefronts Gravitational waves with distinct wavefronts

1997-07-22

arxiv.org/abs/gr-qc/9707049v1

Class.Quant.Grav.14:2869-2880,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, Plain TeX, no figures. To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/14/10/013

Exact solutions of Einstein's vacuum equations are considered which describe gravitational waves with distinct wavefronts. A family of such solutions presented recently in which the wavefronts have various geometries and which propagate into a number of physically significant backgrounds is here related to an integral representation which is a generalisation of the Rosen pulse solution for cylindrical waves. A nondiagonal solution is also constructed which is a generalisation of the Rosen pulse, being a cylindrical pulse wave with two states of polarization propagating into a Minkowski background. The solution is given in a complete and explicit form. A further generalisation to include electromagnetic waves with a distinct wavefront of the same type is also discussed.

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