article · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1961
V. An exact spherical wave
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Abstract
Abstract A construction is given for an exact solution of Einstein’s empty space-time field equations representing an axially sjonmetric pulse wave with the properties that (i) the wave front is a sphere, outside of which all space-time is flat; (ii) a finite, expanding line singularity forms the axial diameter of this sphere. Because of (i), the solution would need to be generalized before a physical source could be introduced. The presence of radiation is confirmed by the fact that at a great distance from the centre of the wave the Riemann tensor is asymptotically of Petrov’s canonical type II (with vanishing scalar invariants).
Cite this paper
Marder, L. (1961). V. An exact spherical wave. Proceedings of the Royal Society of London A Mathematical and Physical Sciences, 261(1304), 91–96. https://doi.org/10.1098/rspa.1961.0063
Marder, L. “V. An exact spherical wave.” Proceedings of the Royal Society of London A Mathematical and Physical Sciences, vol. 261, no. 1304, 1961, pp. 91–96, https://doi.org/10.1098/rspa.1961.0063.
Marder, L. 1961. “V. An exact spherical wave.” Proceedings of the Royal Society of London A Mathematical and Physical Sciences 261 (1304): 91–96. https://doi.org/10.1098/rspa.1961.0063.
Marder, L. (1961) ‘V. An exact spherical wave’, Proceedings of the Royal Society of London A Mathematical and Physical Sciences, 261(1304), pp. 91–96. Available at: https://doi.org/10.1098/rspa.1961.0063.
@article{marder1961exact,
title = {{V. An exact spherical wave}},
author = {Marder, L.},
journal = {Proceedings of the Royal Society of London A Mathematical and Physical Sciences},
volume = {261},
number = {1304},
pages = {91--96},
year = {1961},
doi = {10.1098/rspa.1961.0063}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.