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Geodesic congruences, impulsive gravitational waves and gravitational memory
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In this paper we introduce a new approach to the study of the effects that an impulsive wave, containing a mixture of material sources and gravitational waves, has on a geodesic congruence that traverses it. We find that the effect of the wave on the congruence is a discontinuity in the B-tensor of the congruence. Our results thus provide a detector independent and covariant characterization of gravitational memory.
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Cited by 1 Pith paper
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Displacement memory and B-memory in generalised Ellis-Bronnikov wormholes
In a generalized Ellis-Bronnikov wormhole, a gravitational wave pulse leaves lasting changes in geodesic separation and congruence expansion, with the effect size set by the wormhole's throat radius and steepness.
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