Cylindrical waves in general relativity

Chandrasekhar, Subrahmanyan (1986) Cylindrical waves in general relativity Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 408 (1835). pp. 209-232. ISSN 1364-5021

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Official URL: http://rspa.royalsocietypublishing.org/content/408...

Related URL: http://dx.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.

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