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Article: Jacobi stability of the vacuum in the static spherically symmetric brane world models

TitleJacobi stability of the vacuum in the static spherically symmetric brane world models
Authors
Issue Date2008
PublisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.org
Citation
Physical Review D - Particles, Fields, Gravitation and Cosmology, 2008, v. 77 n. 10 How to Cite?
AbstractWe analyze the stability of the structure equations of the vacuum in the brane world models, by using both the linear (Lyapunov) stability analysis, and the Jacobi stability analysis, the Kosambi-Cartan-Chern theory. In the brane world models the four-dimensional effective Einstein equations acquire extra terms, called dark radiation and dark pressure, respectively, which arise from the embedding of the three-brane in the bulk. Generally, the spherically symmetric vacuum solutions of the brane gravitational field equations have properties quite distinct as compared to the standard black hole solutions of general relativity. We close the structure equations by assuming a simple linear equation of state for the dark pressure. In this case the vacuum is Jacobi stable only for a small range of values of the proportionality constant relating the dark pressure and the dark radiation. The unstable trajectories on the brane behave chaotically, in the sense that after a finite radial distance it would be impossible to distinguish the trajectories that were very near each other at an initial point. Hence the Jacobi stability analysis offers a powerful method for constraining the physical properties of the vacuum on the brane. © 2008 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/91877
ISSN
2014 Impact Factor: 4.643
2015 SCImago Journal Rankings: 1.882
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorHarko, Ten_HK
dc.contributor.authorSabau, VSen_HK
dc.date.accessioned2010-09-17T10:29:12Z-
dc.date.available2010-09-17T10:29:12Z-
dc.date.issued2008en_HK
dc.identifier.citationPhysical Review D - Particles, Fields, Gravitation and Cosmology, 2008, v. 77 n. 10en_HK
dc.identifier.issn1550-7998en_HK
dc.identifier.urihttp://hdl.handle.net/10722/91877-
dc.description.abstractWe analyze the stability of the structure equations of the vacuum in the brane world models, by using both the linear (Lyapunov) stability analysis, and the Jacobi stability analysis, the Kosambi-Cartan-Chern theory. In the brane world models the four-dimensional effective Einstein equations acquire extra terms, called dark radiation and dark pressure, respectively, which arise from the embedding of the three-brane in the bulk. Generally, the spherically symmetric vacuum solutions of the brane gravitational field equations have properties quite distinct as compared to the standard black hole solutions of general relativity. We close the structure equations by assuming a simple linear equation of state for the dark pressure. In this case the vacuum is Jacobi stable only for a small range of values of the proportionality constant relating the dark pressure and the dark radiation. The unstable trajectories on the brane behave chaotically, in the sense that after a finite radial distance it would be impossible to distinguish the trajectories that were very near each other at an initial point. Hence the Jacobi stability analysis offers a powerful method for constraining the physical properties of the vacuum on the brane. © 2008 The American Physical Society.en_HK
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.orgen_HK
dc.relation.ispartofPhysical Review D - Particles, Fields, Gravitation and Cosmologyen_HK
dc.titleJacobi stability of the vacuum in the static spherically symmetric brane world modelsen_HK
dc.typeArticleen_HK
dc.identifier.emailHarko, TC:harko@hkucc.hku.hken_HK
dc.identifier.authorityHarko, TC=rp1333en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevD.77.104009en_HK
dc.identifier.scopuseid_2-s2.0-43949105533en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-43949105533&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume77en_HK
dc.identifier.issue10en_HK
dc.identifier.eissn1550-2368-
dc.identifier.isiWOS:000257329300053-

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