Propagation and interaction of gravitational waves in some expanding backgrounds

Physics

Scientific paper

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Self-Gravitating Systems, Continuous Media And Classical Fields In Curved Spacetime, Wave Propagation And Interactions

Scientific paper

An explicit class of solutions is given which represents a family of expanding gravitational waves with distinct wave fronts propagating into a variety of backgrounds, including vacuum Kasner and FRW fluid models with a stiff equation of state. Complete global solutions are given, and it is indicated how solutions describing the collision of such waves may be constructed. Since the solutions obtained are regular apart from the initial singularity, it is concluded that this class of colliding gravitational waves do not introduce singularities into the space-time.

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