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Article: f(R,Lm) gravity
Title | f(R,Lm) gravity | ||||||
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Authors | |||||||
Issue Date | 2010 | ||||||
Publisher | Springer. 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? | ||||||
Abstract | We 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 Hilbertâ€“Einstein Lagrange density are also derived. | ||||||
Persistent Identifier | http://hdl.handle.net/10722/142488 | ||||||
ISSN | 2015 Impact Factor: 4.912 2015 SCImago Journal Rankings: 0.724 | ||||||
ISI Accession Number ID |
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 Field | Value | Language |
---|---|---|
dc.contributor.author | Harko, TC | en_US |
dc.contributor.author | Lobo, FSN | en_US |
dc.date.accessioned | 2011-10-28T02:46:55Z | - |
dc.date.available | 2011-10-28T02:46:55Z | - |
dc.date.issued | 2010 | en_US |
dc.identifier.citation | European Physical Journal C. Particles and Fields, 2010, v. 70 n. 1-2, p. 373-379 | en_US |
dc.identifier.issn | 1434-6044 | - |
dc.identifier.uri | http://hdl.handle.net/10722/142488 | - |
dc.description.abstract | We 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 Hilbertâ€“Einstein Lagrange density are also derived. | - |
dc.language | eng | en_US |
dc.publisher | Springer. The Journal's web site is located at http://epjc.edpsciences.org | - |
dc.relation.ispartof | European Physical Journal C. Particles and Fields | en_US |
dc.rights | The original publication is available at www.springerlink.com | - |
dc.rights | Creative Commons: Attribution 3.0 Hong Kong License | - |
dc.title | f(R,Lm) 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 | postprint | - |
dc.identifier.doi | 10.1140/epjc/s10052-010-1467-3 | - |
dc.identifier.scopus | eid_2-s2.0-78449281637 | - |
dc.identifier.hkuros | 196870 | en_US |
dc.identifier.volume | 70 | en_US |
dc.identifier.issue | 1-2 | - |
dc.identifier.spage | 373 | en_US |
dc.identifier.epage | 379 | en_US |
dc.identifier.isi | WOS:000284423800031 | - |
dc.publisher.place | Germany | - |
dc.identifier.citeulike | 8131031 | - |