Reduction of Einstein's equations for nonstationary cylindrical cosmic strings

Details Reduction of Einstein's equations for nonstationary cylindrical cosmic strings Reduction of Einstein's equations for nonstationary cylindrical cosmic strings

Jan 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39..429m&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 2, 15 January 1989, pp.429-433

Mathematics

Logic

4

Canonical Formalism, Lagrangians, And Variational Principles, Classical And Semiclassical Techniques

Scientific paper

We develop the Arnowitt-Deser-Misner (ADM) formalism for cylindrical, nonstationary, and topologically nontrivial solutions of the Einstein-Maxwell-Higgs (EMH) equations with a view toward studying the gravitational radiation produced by cosmic-string oscillations. Imposing suitable coordinate and gauge conditions we show how the constraint equations and the equations determining the lapse and shift can all be solved explicitly and the field equations thereby reduced to pure evolution equations for the independent dynamical degrees of freedom of the system.

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