On junction conditions in gravity theories with higher curvature terms

dc.creatorDolezel, Tomas
dc.date2000-12-18
dc.date.accessioned2026-07-07T04:11:08Z
dc.date.available2026-07-07T04:11:08Z
dc.descriptionWe discuss the junction conditions in the context of the Randall-Sundrum model with the Gauss-Bonnet interaction. We consider the $Z_2$ symmetric model where the brane is embedded in an $AdS_5$ bulk, as well as a model without $Z_2$ symmetry in which the brane (in this case called by tradition ``shell'') separates two metrically different $AdS_5$ regions. We show that the Israel junction conditions across the membrane (that is either a brane or a shell) have to be modified if more general equations than Einstein's, including higher curvature terms, hold in the bulk, as is likely to be the case in a low energy limit of string theory. We find that the membrane can then no longer be treated in the thin wall approximation. We derive the junction conditions for the Einstein-Gauss-Bonnet theory including second order curvature terms and show that the microphysics of Gauss-Bonnet thick membranes may, in some instances, be simply hidden in a renormalization of Einstein's constant.
dc.description8 pages, LaTeX 2.09 with "ws-p9-75x6-50.cls"; to appear in the electronic proceedings of the 9-th Marcel Grossmann Meeting (Rome, July 2000)
dc.identifierhttps://arxiv.org/abs/hep-th/0012160
dc.identifierhttp://arxiv.org/abs/hep-th/0012160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50468
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn junction conditions in gravity theories with higher curvature terms
dc.typetext

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