A new type of singularity created by colliding gravitational waves

Chandrasekhar, Subrahmanyan ; Xanthopoulos, Basilis C. (1986) A new type of singularity created by colliding gravitational waves Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 408 (1835). pp. 175-208. ISSN 1364-5021

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

Related URL: http://dx.doi.org/10.1098/rspa.1986.0116


An exact solution is obtained for colliding plane impulsive gravitational waves accompanied by shock waves, which, in contrast to other known solutions, results in the development of a null surface which acts like an event horizon. The analytic extension of the solution across the null surface reveals the existence of time-like curvature singularities along two hyperbolic arcs in the extended domain, reminiscent of the ring singularity of the Kerr metric. Besides, the space-time, in the region of the interaction of the colliding waves, is of Petrov-type D and locally isometric to the Kerr space-time in a region interior to the ergosphere. Various other aspects of the solution are also discussed.

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