Physics
Scientific paper
Dec 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986rspsa.408..209c&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 408, no. 1835, Dec. 8,
Physics
28
Cylindrical Waves, Einstein Equations, Gravitational Waves, Relativity, Gauge Theory, Gravitational Fields, Hamiltonian Functions, Maxwell Equation, Monochromatic Radiation, Space-Time Functions
Scientific paper
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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