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Article: Conformally symmetric vacuum solutions of the gravitational field equations in the brane-world models
Title | Conformally symmetric vacuum solutions of the gravitational field equations in the brane-world models |
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Authors | |
Keywords | Brane-World Models Conformal Symmetry Dark Matter |
Issue Date | 2005 |
Publisher | Academic 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? |
Abstract | A 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 Identifier | http://hdl.handle.net/10722/91870 |
ISSN | 2015 Impact Factor: 2.375 2015 SCImago Journal Rankings: 1.324 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Harko, T | en_HK |
dc.contributor.author | Mak, MK | en_HK |
dc.date.accessioned | 2010-09-17T10:29:00Z | - |
dc.date.available | 2010-09-17T10:29:00Z | - |
dc.date.issued | 2005 | en_HK |
dc.identifier.citation | Annals of Physics, 2005, v. 319 n. 2, p. 471-492 | en_HK |
dc.identifier.issn | 0003-4916 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/91870 | - |
dc.description.abstract | A 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.language | eng | en_HK |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/aop | en_HK |
dc.relation.ispartof | Annals of Physics | en_HK |
dc.subject | Brane-World Models | en_HK |
dc.subject | Conformal Symmetry | en_HK |
dc.subject | Dark Matter | en_HK |
dc.title | Conformally symmetric vacuum solutions of the gravitational field equations in the brane-world models | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Harko, TC:harko@hkucc.hku.hk | en_HK |
dc.identifier.authority | Harko, TC=rp1333 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.aop.2005.04.010 | en_HK |
dc.identifier.scopus | eid_2-s2.0-26044449092 | en_HK |
dc.identifier.hkuros | 104239 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-26044449092&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 319 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 471 | en_HK |
dc.identifier.epage | 492 | en_HK |
dc.identifier.isi | WOS:000232433900010 | - |