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The behaviour of geodesics in constant-curvature spacetimes with expanding impulsive gravitational waves

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Published under licence by IOP Publishing Ltd
, , Citation Robert Švarc and Jiří Podolský 2011 J. Phys.: Conf. Ser. 314 012066 DOI 10.1088/1742-6596/314/1/012066

1742-6596/314/1/012066

Abstract

Motion of free test particles in spacetimes of constant curvature with an expanding impulsive gravitational wave is completely described. Explicit formulae which identify the particle positions and velocities "in front of" and "behind" the impulse are derived for a general impulse of this type. As a particular example, the effect of spherical impulsive wave generated by a snapped cosmic string is analyzed and visualized.

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10.1088/1742-6596/314/1/012066