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.
Amalgamated Codazzi Raychaudhuri identity for foliation
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abstract
It is shown how a pure background tensor formalism provides a concise but explicit and highly flexible machinery for the generalised curvature analysis of individual embedded surfaces and foliations such as arise in the theory of topological defects in cosmological and other physical contexts. The unified treatment provided here shows how the relevant extension of the Raychaudhuri identity is related to the correspondingly extended Codazzi identity.
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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.