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Article: f(R,T) gravity
Title | f(R,T) gravity | ||||||||||||||
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Authors | |||||||||||||||
Issue Date | 2011 | ||||||||||||||
Publisher | American 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? | ||||||||||||||
Abstract | We 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 Identifier | http://hdl.handle.net/10722/142482 | ||||||||||||||
ISSN | 2014 Impact Factor: 4.643 2015 SCImago Journal Rankings: 1.882 | ||||||||||||||
ISI Accession Number ID |
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 Field | Value | Language |
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dc.contributor.author | Harko, TC | en_US |
dc.contributor.author | Lobo, FSN | en_US |
dc.contributor.author | Nojiri, NI | en_US |
dc.contributor.author | Odintsov, SD | en_US |
dc.date.accessioned | 2011-10-28T02:46:53Z | - |
dc.date.available | 2011-10-28T02:46:53Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | Physical Review D (Particles, Fields, Gravitation and Cosmology), 2011, v. 84 n. 2, article no. 024020, p. 024020-1-024020-11 | en_US |
dc.identifier.issn | 1550-7998 | - |
dc.identifier.uri | http://hdl.handle.net/10722/142482 | - |
dc.description.abstract | We 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.language | eng | en_US |
dc.publisher | American Physical Society. The Journal's web site is located at http://prd.aps.org | - |
dc.relation.ispartof | Physical Review D (Particles, Fields, Gravitation and Cosmology) | en_US |
dc.rights | Physical Review D (Particles, Fields, Gravitation and Cosmology). Copyright © American Physical Society. | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.title | f(R,T) gravity | en_US |
dc.type | Article | en_US |
dc.identifier.email | Harko, TC: harko@hkucc.hku.hk | en_US |
dc.identifier.authority | Harko, TC=rp01333 | en_US |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1103/PhysRevD.84.024020 | - |
dc.identifier.scopus | eid_2-s2.0-80051705048 | - |
dc.identifier.hkuros | 196858 | en_US |
dc.identifier.volume | 84 | en_US |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 024020-1 | en_US |
dc.identifier.epage | 024020-11 | en_US |
dc.identifier.isi | WOS:000292693100007 | - |
dc.publisher.place | United States | - |