Displacement memory and B-memory in generalised Ellis-Bronnikov wormholes

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Hauptverfasser: Bhattacharya, Soumya, Ghosh, Suman
Format: Preprint
Veröffentlicht: 2025
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author Bhattacharya, Soumya
Ghosh, Suman
author_facet Bhattacharya, Soumya
Ghosh, Suman
contents Gravitational wave (GW) memory effect is studied in the context of generalised Ellis-Bronnikov (GEB) wormholes. We solved the geodesic equations in this wormhole spacetime, in the presence of a GW pulse. The resulting evolution of the geodesic separation shows the presence of displacement and velocity memory. Memory effect due to a gravitational wave ensures that there is a permanent effect on spacetime geometry. The corresponding geodesic evolution, being metric dependent, would display distinct results in each case. Motivated by the same, we study further aspects of memory effect on the geodesic congruences, known as the B-memory, by solving the Raychaudhuri equations. Since future GW detectors will be able to probe the memory effect, our work presents GEB spacetime as a black hole mimicker with distinguishing features.
format Preprint
id arxiv_https___arxiv_org_abs_2502_03007
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Displacement memory and B-memory in generalised Ellis-Bronnikov wormholes
Bhattacharya, Soumya
Ghosh, Suman
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Gravitational wave (GW) memory effect is studied in the context of generalised Ellis-Bronnikov (GEB) wormholes. We solved the geodesic equations in this wormhole spacetime, in the presence of a GW pulse. The resulting evolution of the geodesic separation shows the presence of displacement and velocity memory. Memory effect due to a gravitational wave ensures that there is a permanent effect on spacetime geometry. The corresponding geodesic evolution, being metric dependent, would display distinct results in each case. Motivated by the same, we study further aspects of memory effect on the geodesic congruences, known as the B-memory, by solving the Raychaudhuri equations. Since future GW detectors will be able to probe the memory effect, our work presents GEB spacetime as a black hole mimicker with distinguishing features.
title Displacement memory and B-memory in generalised Ellis-Bronnikov wormholes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2502.03007