Abstract
The Bonnor-Swaminarayan solutions are boost-rotation symmetric space-times which describe the motion of pairs of accelerating particles which are possibly connected to strings (struts). In an explicit and unified form we present a generalised class of such solutions with a few new observations. We then investigate the possible limits in which the accelerations become unbounded. The resulting space-times represent spherical impulsive gravitational waves with snapping or expanding cosmic strings. We also obtain an exact solution for a snapping string of finite length.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Podolský, J., and Griffiths, J. B. (1999). Class. Quantum Grav. 16, 2937.
Penrose, R. (1972). General Relativity, ed. L. O'Raifeartaigh (Oxford: Clarendon), p. 101.
Bičák, J., and Schmidt, B. (1989). Class. Quantum Grav. 6, 1547.
Bičák, J., and Schmidt, B. (1989). Phys. Rev. D 40, 1827.
Bičák, J. (1985). In Galaxies, Axisymmetric Systems and Relativity, M.A.H. MacCallum, ed. (Cambridge University Press, Cambridge), p. 99.
Bičák, J. (1987). In Gravitation and Geometry, W. Rindler and A. Trautman, eds. (Bibliopolis, Naples), p. 55.
Bonnor, W. B. and Swaminarayan, N. S. (1964). Zeitschr. f. Phys. 177, 240.
Bonnor, W. B. (1966). Wissenschaftl. Zeitschr. der Friedrich-Schiller-Universität Jena 15, 71.
Bonnor, W. B., Griffiths, J. B., and MacCallum, M. A. H. (1994). Gen. Rel. Grav. 26, 687.
Bičák, J. (1968). Proc. Roy. Soc. A 302, 201.
Bičák, J. (1971). In Relativity and Gravitation, C. G. Kuper and A. Peres, eds. (Gordon and Breach, New York), p. 47.
Bondi, H. (1957). Rev. Mod. Phys. 29, 423.
Bičák, J., Hoenselaers, C., and Schmidt, B. G. (1983). Proc. Roy. Soc. A 390, 397.
Bičák, J., Hoenselaers, C., and Schmidt, B. G. (1983). Proc. Roy. Soc. A 390, 411.
Gleiser, R., and Pullin, J. (1989). Class. Quantum Grav. 6, L141.
Bičák, J. (1990). Astron. Nachr. 311, 189.
Nutku, Y., and Penrose, R. (1992). Twistor Newsletter No. 34, 9.
Hogan, P. A. (1993). Phys. Rev. Lett. 70, 117.
Podolský, J., and Griffiths, J. B. (2000). Class. Quantum Grav. 17, 1401.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Podolský, J., Griffiths, J.B. Null Limits of Generalised Bonnor-Swaminarayan Solutions. General Relativity and Gravitation 33, 37–57 (2001). https://doi.org/10.1023/A:1002071802044
Issue Date:
DOI: https://doi.org/10.1023/A:1002071802044