Globally defined Carroll symmetry of gravitational waves

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dc.contributor.authorElbistan, M.
dc.contributor.authorZhang, P. M.
dc.contributor.authorHorvathy, P. A.
dc.date.accessioned2026-04-04T18:55:35Z
dc.date.available2026-04-04T18:55:35Z
dc.date.issued2026
dc.departmentİstanbul Bilgi Üniversitesi
dc.description.abstractThe local Carroll symmetry of a gravitational wave found in Baldwin-Jeffery-Rosen coordinates is extended to a globally defined one by switching to Brinkmann coordinates. Two independent globally defined solutions of a Sturm-Liouville equation allow us to describe both the symmetries (translations and Carroll boosts) and the geodesic motions. One of them satisfies particular initial conditions which imply zero initial momentum, while the other does not. Pure displacement arises when the latter is turned off by requiring the momentum to vanish and when the wave parameters take, in addition, some particular values which correspond to having an integer half-wave number. The relation to the Schwarzian derivative is highlighted. We illustrate our general statements by the P & ouml;schl-Teller profile.
dc.description.sponsorshipNational Natural Science Foundation of China [11975320]; Istanbul Bilgi University research fund (BAP) [2024.01.009]; Scientific and Technological Research Council of Turkey (TUBITAK)U [125F021]
dc.description.sponsorshipThe authors are indebted to J. Balog, J. Ben Achour, Z. Silagadze and Qiliang Zhao for correspondance. PMZ was partially supported by the National Natural Science Foundation of China (Grant No. 11975320) . ME is supported by Istanbul Bilgi University research fund (BAP) with grant no: 2024.01.009 and by The Scientific and Technological Research Council of Turkey (TUBITAK) under grant number 125F021. PMZ and PAH benefitted of TUBITAK 2221 grant and hospitality at Bilgi University during their visit in Istanbul.
dc.identifier.doi10.1016/j.nuclphysb.2026.117354
dc.identifier.doi10.1016/j.nuclphysb.2026.117354
dc.identifier.issn0550-3213
dc.identifier.issn1873-1562
dc.identifier.scopus2-s2.0-105030461492
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.nuclphysb.2026.117354
dc.identifier.urihttps://hdl.handle.net/11411/10469
dc.identifier.volume1024
dc.identifier.wosWOS:001697751300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofNuclear Physics B
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260402
dc.snmzKA_Scopus_20260402
dc.subjectCarroll Symmetry
dc.subjectDisplacement Memory Effect
dc.subjectGravitational Waves
dc.titleGlobally defined Carroll symmetry of gravitational waves
dc.typeArticle

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