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Article: The matter Lagrangian and the energy-momentum tensor in modified gravity with nonminimal coupling between matter and geometry

TitleThe matter Lagrangian and the energy-momentum tensor in modified gravity with nonminimal coupling between matter and geometry
Authors
Issue Date2010
PublisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.org
Citation
Physical Review D - Particles, Fields, Gravitation and Cosmology, 2010, v. 81 n. 4 How to Cite?
AbstractWe show that in modified f(R) type gravity models with nonminimal coupling between matter and geometry, both the matter Lagrangian and the energy-momentum tensor are completely and uniquely determined by the form of the coupling. This result is obtained by using the variational formulation for the derivation of the equations of motion in the modified gravity models with geometry-matter coupling, and the Newtonian limit for a fluid obeying a barotropic equation of state. The corresponding energy-momentum tensor of the matter in modified gravity models with nonminimal coupling is more general than the usual general-relativistic energy-momentum tensor for perfect fluids, and it contains a supplementary, equation of state dependent term, which could be related to the elastic stresses in the body, or to other forms of internal energy. Therefore, the extra force induced by the coupling between matter and geometry never vanishes as a consequence of the thermodynamic properties of the system, or for a specific choice of the matter Lagrangian, and it is nonzero in the case of a fluid of dust particles. © 2010 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/91795
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.date.accessioned2010-09-17T10:26:51Z-
dc.date.available2010-09-17T10:26:51Z-
dc.date.issued2010en_HK
dc.identifier.citationPhysical Review D - Particles, Fields, Gravitation and Cosmology, 2010, v. 81 n. 4en_HK
dc.identifier.issn1550-7998en_HK
dc.identifier.urihttp://hdl.handle.net/10722/91795-
dc.description.abstractWe show that in modified f(R) type gravity models with nonminimal coupling between matter and geometry, both the matter Lagrangian and the energy-momentum tensor are completely and uniquely determined by the form of the coupling. This result is obtained by using the variational formulation for the derivation of the equations of motion in the modified gravity models with geometry-matter coupling, and the Newtonian limit for a fluid obeying a barotropic equation of state. The corresponding energy-momentum tensor of the matter in modified gravity models with nonminimal coupling is more general than the usual general-relativistic energy-momentum tensor for perfect fluids, and it contains a supplementary, equation of state dependent term, which could be related to the elastic stresses in the body, or to other forms of internal energy. Therefore, the extra force induced by the coupling between matter and geometry never vanishes as a consequence of the thermodynamic properties of the system, or for a specific choice of the matter Lagrangian, and it is nonzero in the case of a fluid of dust particles. © 2010 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.rightsPhysical Review D (Particles, Fields, Gravitation and Cosmology). Copyright © American Physical Society-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleThe matter Lagrangian and the energy-momentum tensor in modified gravity with nonminimal coupling between matter and geometryen_HK
dc.typeArticleen_HK
dc.identifier.emailHarko, TC:harko@hkucc.hku.hken_HK
dc.identifier.authorityHarko, TC=rp1333en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevD.81.044021en_HK
dc.identifier.scopuseid_2-s2.0-77749318405en_HK
dc.identifier.hkuros242351-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77749318405&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume81en_HK
dc.identifier.issue4en_HK
dc.identifier.eissn1550-2368-
dc.identifier.isiWOS:000275898500071-

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