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Article: f(R,T) gravity

Titlef(R,T) gravity
Authors
Issue Date2011
PublisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.org
Citation
Physical Review D (Particles, Fields, Gravitation and Cosmology), 2011, v. 84 n. 2, article no. 024020, p. 024020-1-024020-11 How to Cite?
AbstractWe consider f(R,T) modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. 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 stress-energy tensor. Generally, the gravitational field equations depend on the nature of the matter source. The field equations of several particular models, corresponding to some explicit forms of the function f(R,T), are also presented. An important case, which is analyzed in detail, is represented by scalar field models. We write down the action and briefly consider the cosmological implications of the f(R,Tϕ) models, where Tϕ is the trace of the stress-energy tensor of a self-interacting scalar field. The equations of motion of the test particles are also obtained from a variational principle. The motion of massive test particles is nongeodesic, and takes place in the presence of an extra-force orthogonal to the four velocity. The Newtonian limit of the equation of motion is further analyzed. Finally, we provide a constraint on the magnitude of the extra acceleration by analyzing the perihelion precession of the planet Mercury in the framework of the present model.
Persistent Identifierhttp://hdl.handle.net/10722/142482
ISSN
2014 Impact Factor: 4.643
2015 SCImago Journal Rankings: 1.882
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
CERN/FP/116398/2010
MEC (Spain)FIS2006-02842
AGAUR (Catalonia)2009SGR-994
Ministry of Education, Culture, Sports, Science ampG07
22224003
Funding Information:

The work of T. H. was supported by an GRF grant of the government of the Hong Kong SAR. F. S. N. L. acknowledges financial support of the Fundacao para a Ciencia e Tecnologia through the Grant Nos. PTDC/FIS/102742/2008, CERN/FP/109381/2009 and CERN/FP/116398/2010. This research was also supported in part by MEC (Spain) Project Nos. FIS2006-02842 and AGAUR (Catalonia) 2009SGR-994 (SDO), by Global COE Program of Nagoya University (G07) provided by the Ministry of Education, Culture, Sports, Science & Technology and by the JSPS Grant-in-Aid for Scientific Research (S) #22224003.

 

DC FieldValueLanguage
dc.contributor.authorHarko, TCen_US
dc.contributor.authorLobo, FSNen_US
dc.contributor.authorNojiri, NIen_US
dc.contributor.authorOdintsov, SDen_US
dc.date.accessioned2011-10-28T02:46:53Z-
dc.date.available2011-10-28T02:46:53Z-
dc.date.issued2011en_US
dc.identifier.citationPhysical Review D (Particles, Fields, Gravitation and Cosmology), 2011, v. 84 n. 2, article no. 024020, p. 024020-1-024020-11en_US
dc.identifier.issn1550-7998-
dc.identifier.urihttp://hdl.handle.net/10722/142482-
dc.description.abstractWe consider f(R,T) modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. 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 stress-energy tensor. Generally, the gravitational field equations depend on the nature of the matter source. The field equations of several particular models, corresponding to some explicit forms of the function f(R,T), are also presented. An important case, which is analyzed in detail, is represented by scalar field models. We write down the action and briefly consider the cosmological implications of the f(R,Tϕ) models, where Tϕ is the trace of the stress-energy tensor of a self-interacting scalar field. The equations of motion of the test particles are also obtained from a variational principle. The motion of massive test particles is nongeodesic, and takes place in the presence of an extra-force orthogonal to the four velocity. The Newtonian limit of the equation of motion is further analyzed. Finally, we provide a constraint on the magnitude of the extra acceleration by analyzing the perihelion precession of the planet Mercury in the framework of the present model.-
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prd.aps.org-
dc.relation.ispartofPhysical Review D (Particles, Fields, Gravitation and Cosmology)en_US
dc.rightsPhysical Review D (Particles, Fields, Gravitation and Cosmology). Copyright © American Physical Society.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titlef(R,T) gravityen_US
dc.typeArticleen_US
dc.identifier.emailHarko, TC: harko@hkucc.hku.hken_US
dc.identifier.authorityHarko, TC=rp01333en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevD.84.024020-
dc.identifier.scopuseid_2-s2.0-80051705048-
dc.identifier.hkuros196858en_US
dc.identifier.volume84en_US
dc.identifier.issue2-
dc.identifier.spage024020-1en_US
dc.identifier.epage024020-11en_US
dc.identifier.isiWOS:000292693100007-
dc.publisher.placeUnited States-

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