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Article: Conformally symmetric vacuum solutions of the gravitational field equations in the brane-world models

TitleConformally symmetric vacuum solutions of the gravitational field equations in the brane-world models
Authors
KeywordsBrane-World Models
Conformal Symmetry
Dark Matter
Issue Date2005
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/aop
Citation
Annals of Physics, 2005, v. 319 n. 2, p. 471-492 How to Cite?
AbstractA class of exact solutions of the gravitational field equations in the vacuum on the brane are obtained by assuming the existence of a conformal Killing vector field, with non-static and non-central symmetry. In this case, the general solution of the field equations can be obtained in a parametric form in terms of the Bessel functions. The behavior of the basic physical parameters describing the non-local effects generated by the gravitational field of the bulk (dark radiation and dark pressure) is also considered in detail, and the equation of state satisfied at infinity by these quantities is derived. As a physical application of the obtained solutions we consider the behavior of the angular velocity of a test particle moving in a stable circular orbit. The tangential velocity of the particle is a monotonically increasing function of the radial distance and, in the limit of large values of the radial coordinate, tends to a constant value, which is independent on the parameters describing the model. Therefore, a brane geometry admitting a one-parameter group of conformal motions may provide an explanation for the dynamics of the neutral hydrogen clouds at large distances from the galactic center, which is usually explained by postulating the existence of the dark matter. © 2005 Elsevier Inc. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/91870
ISSN
2015 Impact Factor: 2.375
2015 SCImago Journal Rankings: 1.324
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorHarko, Ten_HK
dc.contributor.authorMak, MKen_HK
dc.date.accessioned2010-09-17T10:29:00Z-
dc.date.available2010-09-17T10:29:00Z-
dc.date.issued2005en_HK
dc.identifier.citationAnnals of Physics, 2005, v. 319 n. 2, p. 471-492en_HK
dc.identifier.issn0003-4916en_HK
dc.identifier.urihttp://hdl.handle.net/10722/91870-
dc.description.abstractA class of exact solutions of the gravitational field equations in the vacuum on the brane are obtained by assuming the existence of a conformal Killing vector field, with non-static and non-central symmetry. In this case, the general solution of the field equations can be obtained in a parametric form in terms of the Bessel functions. The behavior of the basic physical parameters describing the non-local effects generated by the gravitational field of the bulk (dark radiation and dark pressure) is also considered in detail, and the equation of state satisfied at infinity by these quantities is derived. As a physical application of the obtained solutions we consider the behavior of the angular velocity of a test particle moving in a stable circular orbit. The tangential velocity of the particle is a monotonically increasing function of the radial distance and, in the limit of large values of the radial coordinate, tends to a constant value, which is independent on the parameters describing the model. Therefore, a brane geometry admitting a one-parameter group of conformal motions may provide an explanation for the dynamics of the neutral hydrogen clouds at large distances from the galactic center, which is usually explained by postulating the existence of the dark matter. © 2005 Elsevier Inc. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/aopen_HK
dc.relation.ispartofAnnals of Physicsen_HK
dc.subjectBrane-World Modelsen_HK
dc.subjectConformal Symmetryen_HK
dc.subjectDark Matteren_HK
dc.titleConformally symmetric vacuum solutions of the gravitational field equations in the 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.doi10.1016/j.aop.2005.04.010en_HK
dc.identifier.scopuseid_2-s2.0-26044449092en_HK
dc.identifier.hkuros104239-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-26044449092&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume319en_HK
dc.identifier.issue2en_HK
dc.identifier.spage471en_HK
dc.identifier.epage492en_HK
dc.identifier.isiWOS:000232433900010-

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