Collision of plane gravitational waves without singularities

Physics

Scientific paper

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Scientific paper

Mathematical and physical causes of development of singularities in space-time representing the collision of two strong plane gravitational waves with collinear polarization are considered. The conclusion is drawn that emergence of any physical space-time singularity is not inevitable, provided that the incoming plane waves themselves have regular wave fronts. The new exact solutions are given which provide sufficient bases for such conclusion.

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