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Article: f(R,Lm) gravity

Titlef(R,Lm) gravity
Authors
Issue Date2010
PublisherSpringer. The Journal's web site is located at http://epjc.edpsciences.org
Citation
European Physical Journal C. Particles and Fields, 2010, v. 70 n. 1-2, p. 373-379 How to Cite?
AbstractWe generalize the f (R) type gravity models by assuming that the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the matter Lagrangian Lm. We obtain the gravitational field equations in the metric formalism, as well as the equations of motion for test particles, which follow from the covariant divergence of the energy-momentum tensor. The equations of motion for test particles can also be derived from a variational principle in the particular case in which the Lagrangian density of the matter is an arbitrary function of the energy density of the matter only. Generally, the motion is non-geodesic, and it takes place in the presence of an extra force orthogonal to the four-velocity. The Newtonian limit of the equation of motion is also considered, and a procedure for obtaining the energy-momentum tensor of the matter is presented. The gravitational field equations and the equations of motion for a particular model in which the action of the gravitational field has an exponential dependence on the standard general relativistic Hilbert–Einstein Lagrange density are also derived.
Persistent Identifierhttp://hdl.handle.net/10722/142488
ISSN
2015 Impact Factor: 4.912
2015 SCImago Journal Rankings: 0.724
ISI Accession Number ID
Funding AgencyGrant Number
government of the Hong Kong SAR
Fundacao para a Ciencia e TecnologiaPTDC/FIS/102742/2008
CERN/FP/109381/2009
Funding Information:

We would like to thank the two anonymous referees, whose comments and suggestions helped us to significantly improve the manuscript. TH is supported by an RGC grant of the government of the Hong Kong SAR. FSNL acknowledges financial support of the Fundacao para a Ciencia e Tecnologia through the grants PTDC/FIS/102742/2008 and CERN/FP/109381/2009.

 

DC FieldValueLanguage
dc.contributor.authorHarko, TCen_US
dc.contributor.authorLobo, FSNen_US
dc.date.accessioned2011-10-28T02:46:55Z-
dc.date.available2011-10-28T02:46:55Z-
dc.date.issued2010en_US
dc.identifier.citationEuropean Physical Journal C. Particles and Fields, 2010, v. 70 n. 1-2, p. 373-379en_US
dc.identifier.issn1434-6044-
dc.identifier.urihttp://hdl.handle.net/10722/142488-
dc.description.abstractWe generalize the f (R) type gravity models by assuming that the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the matter Lagrangian Lm. We obtain the gravitational field equations in the metric formalism, as well as the equations of motion for test particles, which follow from the covariant divergence of the energy-momentum tensor. The equations of motion for test particles can also be derived from a variational principle in the particular case in which the Lagrangian density of the matter is an arbitrary function of the energy density of the matter only. Generally, the motion is non-geodesic, and it takes place in the presence of an extra force orthogonal to the four-velocity. The Newtonian limit of the equation of motion is also considered, and a procedure for obtaining the energy-momentum tensor of the matter is presented. The gravitational field equations and the equations of motion for a particular model in which the action of the gravitational field has an exponential dependence on the standard general relativistic Hilbert–Einstein Lagrange density are also derived.-
dc.languageengen_US
dc.publisherSpringer. The Journal's web site is located at http://epjc.edpsciences.org-
dc.relation.ispartofEuropean Physical Journal C. Particles and Fieldsen_US
dc.rightsThe original publication is available at www.springerlink.com-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titlef(R,Lm) gravityen_US
dc.typeArticleen_US
dc.identifier.emailHarko, TC: harko@hkucc.hku.hken_US
dc.identifier.authorityHarko, TC=rp01333en_US
dc.description.naturepostprint-
dc.identifier.doi10.1140/epjc/s10052-010-1467-3-
dc.identifier.scopuseid_2-s2.0-78449281637-
dc.identifier.hkuros196870en_US
dc.identifier.volume70en_US
dc.identifier.issue1-2-
dc.identifier.spage373en_US
dc.identifier.epage379en_US
dc.identifier.isiWOS:000284423800031-
dc.publisher.placeGermany-
dc.identifier.citeulike8131031-

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