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Article: Virial theorem and the dynamics of clusters of galaxies in the brane world models

TitleVirial theorem and the dynamics of clusters of galaxies in the brane world models
Authors
Issue Date2007
PublisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.org
Citation
Physical Review D - Particles, Fields, Gravitation And Cosmology, 2007, v. 76 n. 4 How to Cite?
AbstractA version of the virial theorem, which takes into account the effects of the noncompact extra dimensions, is derived in the framework of the brane world models. In the brane world scenario, the four-dimensional effective Einstein equation has some extra terms, called dark radiation and dark pressure, respectively, which arise from the embedding of the 3-brane in the bulk. To derive the generalized virial theorem, we use a method based on the collisionless Boltzmann equation. The dark radiation term generates an equivalent mass term (the dark mass), which gives an effective contribution to the gravitational energy. This term may account for the well-known virial theorem mass discrepancy in actual clusters of galaxies. An approximate solution of the vacuum field equations on the brane, corresponding to weak gravitational fields, is also obtained, and the expressions for the dark radiation and dark mass are derived. The qualitative behavior of the dark mass is similar to that of the observed virial mass in clusters of galaxies. We compare our model with the observational data for galaxy clusters, and we express all the physical parameters of the model in terms of observable quantities. In particular, we predict that the dark mass must extend far beyond the presently considered virial radius. The behavior of the galaxy cluster velocity dispersion in brane world models is also considered. Therefore the study of the matter distribution and velocity dispersion at the extragalactic scales could provide an efficient method for testing the multidimensional physical models. © 2007 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/91867
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.authorCheng, KSen_HK
dc.date.accessioned2010-09-17T10:28:55Z-
dc.date.available2010-09-17T10:28:55Z-
dc.date.issued2007en_HK
dc.identifier.citationPhysical Review D - Particles, Fields, Gravitation And Cosmology, 2007, v. 76 n. 4en_HK
dc.identifier.issn1550-7998en_HK
dc.identifier.urihttp://hdl.handle.net/10722/91867-
dc.description.abstractA version of the virial theorem, which takes into account the effects of the noncompact extra dimensions, is derived in the framework of the brane world models. In the brane world scenario, the four-dimensional effective Einstein equation has some extra terms, called dark radiation and dark pressure, respectively, which arise from the embedding of the 3-brane in the bulk. To derive the generalized virial theorem, we use a method based on the collisionless Boltzmann equation. The dark radiation term generates an equivalent mass term (the dark mass), which gives an effective contribution to the gravitational energy. This term may account for the well-known virial theorem mass discrepancy in actual clusters of galaxies. An approximate solution of the vacuum field equations on the brane, corresponding to weak gravitational fields, is also obtained, and the expressions for the dark radiation and dark mass are derived. The qualitative behavior of the dark mass is similar to that of the observed virial mass in clusters of galaxies. We compare our model with the observational data for galaxy clusters, and we express all the physical parameters of the model in terms of observable quantities. In particular, we predict that the dark mass must extend far beyond the presently considered virial radius. The behavior of the galaxy cluster velocity dispersion in brane world models is also considered. Therefore the study of the matter distribution and velocity dispersion at the extragalactic scales could provide an efficient method for testing the multidimensional physical models. © 2007 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.titleVirial theorem and the dynamics of clusters of galaxies in the brane world modelsen_HK
dc.typeArticleen_HK
dc.identifier.emailHarko, T: harko@hkucc.hku.hken_HK
dc.identifier.emailCheng, KS: hrspksc@hkucc.hku.hken_HK
dc.identifier.authorityHarko, T=rp01333en_HK
dc.identifier.authorityCheng, KS=rp00675en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevD.76.044013en_HK
dc.identifier.scopuseid_2-s2.0-34548067115en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34548067115&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume76en_HK
dc.identifier.issue4en_HK
dc.identifier.eissn1550-2368-
dc.identifier.isiWOS:000249155800065-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridHarko, T=7006485783en_HK
dc.identifier.scopusauthoridCheng, KS=9745798500en_HK

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