On the collision of impulsive gravitational waves when coupled with fluid motions

Chandrasekhar, Subrahmanyan ; Xanthopoulos, Basilis C. (1985) On the collision of impulsive gravitational waves when coupled with fluid motions Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 402 (1822). pp. 37-65. ISSN 1364-5021

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Official URL: http://rspa.royalsocietypublishing.org/content/402...

Related URL: http://dx.doi.org/10.1098/rspa.1985.0107


An exact solution of Einstein's equations, with a source derived from a perfect fluid in which the energy density, ε, is equal to the pressure, p, is obtained. The solution describes the space-time following the collision of plane impulsive gravitational waves and is the natural generalization of the Nutku-Halil solution of the vacuum equations, in the region of interaction under similar basic conditions. A consistent extension of the solution, prior to the instant of collision, requires that the fluid in the region of interaction is the direct result of a transformation of incident null-dust (i.e. of massless particles describing null trajectories). The ultimate result of the collision is the development of a space-time singularity, the nature of which is strongly dependent on the amplitude and the character of the sound waves that are present. The distribution of ε that follows the collision has many intriguing features. The solution obtained in this paper provides the first example of an induced transformation of a massless into a massive particle.

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