New family of exact solutions for colliding plane gravitational waves

Details New family of exact solutions for colliding plane gravitational waves New family of exact solutions for colliding plane gravitational waves

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37.2790y&link_type=abstract

Physical Review D (Particles and Fields), Volume 37, Issue 10, 15 May 1988, pp.2790-2802

Physics

23

Fundamental Problems And General Formalism

Scientific paper

We construct an infinite-parameter family of exact solutions to the vacuum Einstein field equations describing colliding gravitational plane waves with parallel polarizations. The interaction regions of the solutions in this family are locally isometric to the interiors of those static axisymmetric (Weyl) black-hole solutions which admit both a nonsingular horizon, and an analytic extension of the exterior metric to the interior of the horizon. As a member of this family of solutions we also obtain, for the first time, a colliding plane-wave solution where both of the two incoming plane waves are purely anastigmatic, i.e., where both incoming waves have equal focal lengths.

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