Interaction of Einstein-Maxwell radiation and a cosmic string: Special solutions with hypersurface-orthogonal Killing vectors

Details Interaction of Einstein-Maxwell radiation and a cosmic string: Special solutions with hypersurface-orthogonal Killing vectors Interaction of Einstein-Maxwell radiation and a cosmic string: Special solutions with hypersurface-orthogonal Killing vectors

Feb 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvd..43.1162d&link_type=abstract

Physical Review D (Particles and Fields), Volume 43, Issue 4, 15 February 1991, pp.1162-1169

Physics

3

Scientific paper

We present several nontrivial limits of a new family of exact solutions of the Einstein-Maxwell equations for axisymmetric nonstationary spacetimes, obtained using Alekseev's inverse-scattering method, which we previously interpreted as describing the presence of a rotating cosmic string interacting with electromagnetic and gravitational radiation. The limit in which the C energy of the solutions goes to infinity is related to a change in their geometry, reminiscent of some results recently found for both gauge and global cosmic strings. The axisymmetry, i.e., the presence of a (quasiregular) symmetry ``axis,'' is in general lost, except in one case, which includes hypersurface-orthogonal Killing vectors. Its relation to Xanthopoulos's question as to whether the ``rotation'' can be stopped is discussed. This last case can also be interpreted as a collapsing Melvin electromagnetic universe. We also analyze a particular limit that leads to a vacuum solution with a curvature singularity on the symmetry axis, but asymptotically flat in the radial direction.

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