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Article: Palatini formulation of modified gravity with a non-minimal curvature-matter coupling

TitlePalatini formulation of modified gravity with a non-minimal curvature-matter coupling
Authors
KeywordsGravity
Einstein field equations
Equations of motion
Scalar field theory
Lagrangian functions
Issue Date2011
PublisherWorld Scientific Publishing Co Pte Ltd. The Journal's web site is located at http://www.worldscinet.com/mpla/mpla.shtml
Citation
Modern Physics Letters A, 2011, v. 26 n. 20, p. 1467-1480 How to Cite?
AbstractWe derive the field equations and the equations of motion for scalar fields and massive test particles in modified theories of gravity with an arbitrary coupling between geometry and matter by using the Palatini formalism. We show that the independent connection can be expressed as the Levi-Cività connection of an auxiliary, matter Lagrangian dependent metric, which is related with the physical metric by means of a conformal transformation. Similarly to the metric case, the field equations impose the nonconservation of the energy-momentum tensor. We derive the explicit form of the equations of motion for massive test particles in the case of a perfect fluid, and the expression of the extra-force is obtained in terms of the matter-geometry coupling functions and of their derivatives. Generally, the motion is non-geodesic, and the extra force is orthogonal to the four-velocity. It is pointed out here that the force is of a different nature than in the metric formalism. We also consider the implications of a nonlinear dependence of the action upon the matter Lagrangian.
Persistent Identifierhttp://hdl.handle.net/10722/139627
ISSN
2015 Impact Factor: 1.116
2015 SCImago Journal Rankings: 0.583
ISI Accession Number ID
Funding AgencyGrant Number
government of the Hong Kong
Centro de Astronomia e Astrofisica da Universidade de Lisboa
FOM
Academy of Finland
Fundacao para a Ciencia e TecnologiaPTDC/FIS/102742/2008
CERN/FP/109381/2009
Funding Information:

The work of T. H. is supported by an RGC grant of the government of the Hong Kong SAR. T. H. would like to thank the Centro de Astronomia e Astrofisica da Universidade de Lisboa for their support and warm hospitality during the preparation of this work. T. S. K. is supported by FOM and the Academy of Finland. F.S.N.L. 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, Ten_US
dc.contributor.authorKoivisto, TSen_US
dc.contributor.authorLobo, FSNen_US
dc.date.accessioned2011-09-23T05:52:44Z-
dc.date.available2011-09-23T05:52:44Z-
dc.date.issued2011en_US
dc.identifier.citationModern Physics Letters A, 2011, v. 26 n. 20, p. 1467-1480en_US
dc.identifier.issn0217-7323-
dc.identifier.urihttp://hdl.handle.net/10722/139627-
dc.description.abstractWe derive the field equations and the equations of motion for scalar fields and massive test particles in modified theories of gravity with an arbitrary coupling between geometry and matter by using the Palatini formalism. We show that the independent connection can be expressed as the Levi-Cività connection of an auxiliary, matter Lagrangian dependent metric, which is related with the physical metric by means of a conformal transformation. Similarly to the metric case, the field equations impose the nonconservation of the energy-momentum tensor. We derive the explicit form of the equations of motion for massive test particles in the case of a perfect fluid, and the expression of the extra-force is obtained in terms of the matter-geometry coupling functions and of their derivatives. Generally, the motion is non-geodesic, and the extra force is orthogonal to the four-velocity. It is pointed out here that the force is of a different nature than in the metric formalism. We also consider the implications of a nonlinear dependence of the action upon the matter Lagrangian.-
dc.languageengen_US
dc.publisherWorld Scientific Publishing Co Pte Ltd. The Journal's web site is located at http://www.worldscinet.com/mpla/mpla.shtmlen_US
dc.relation.ispartofModern Physics Letters Aen_US
dc.rightsModern Physics Letters A. Copyright © World Scientific Publishing Co Pte Ltd.-
dc.rightsElectronic version of an article published as Modern Physics Letters A, 2011, v. 26 n. 20, p. 1467-1480. Article DOI: 10.1142/S0217732311035869 © copyright World Scientific Publishing Company [Journal URL: http://www.worldscinet.com/mpla/mpla.shtml]-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectGravity-
dc.subjectEinstein field equations-
dc.subjectEquations of motion-
dc.subjectScalar field theory-
dc.subjectLagrangian functions-
dc.titlePalatini formulation of modified gravity with a non-minimal curvature-matter couplingen_US
dc.typeArticleen_US
dc.identifier.emailHarko, T: harko@hkucc.hku.hken_US
dc.identifier.emailKoivisto, TS: t.s.koivisto@uu.nl-
dc.identifier.emailLobo, FSN: flobo@cii.fc.ul.pt.-
dc.identifier.authorityHarko, TC=rp01333en_US
dc.description.naturepostprint-
dc.identifier.doi10.1142/S0217732311035869en_US
dc.identifier.hkuros195356en_US
dc.identifier.volume26en_US
dc.identifier.issue20-
dc.identifier.spage1467en_US
dc.identifier.epage1480en_US
dc.identifier.isiWOS:000292641900002-
dc.publisher.placeSingapore-

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