Cylindrical waves in general relativity
- 8 December 1986
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 408 (1835) , 209-232
- https://doi.org/10.1098/rspa.1986.0117
Abstract
A convenient framework is set up for constructing cylindrically symmetric solutions of the Einstein and the Einstein—Maxwell equations, and it is shown how a Hamiltonian density can be defined for space-times with cylindrical symmetry. Solutions are obtained that represent stationary monochromatic waves and satisfy all the requisite conditions of regularity. The case when the gravitational field is coupled with a perfect fluid in which the energy density is equal to the pressure is also briefly considered.Keywords
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