Gravitational Waves in General Relativity XI. Cylindrical-Spherical Waves

Details Gravitational Waves in General Relativity XI. Cylindrical-Spherical Waves Gravitational Waves in General Relativity XI. Cylindrical-Spherical Waves

Oct 1969

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969rspsa.313...83m&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 313, Issue 1512, pp. 83-96

Physics

6

Scientific paper

Further properties of a vacuum metric obtained in an earlier paper, representing a spherical-fronted gravitational wave (which, however, possesses cylindrical symmetry) are derived. This metric is constructed by introducing 'bending terms' into Rosen's metric for cylindrical waves. The way the transition occurs from properties characteristic of cylindrical waves to those of spherical waves is examined. The asymptotic behaviour of the optical parameters and the null tetrad components of the Weyl (Riemann) tensor along an outgoing null geodesic is determined. An interpretation of the axial singularity is given by comparison with an analogous feature in classical electromagnetic wave propagation.

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