File Download
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1142/S0217732311035869
- WOS: WOS:000292641900002
- Find via
Supplementary
-
Citations:
- Web of Science: 0
- Appears in Collections:
Article: Palatini formulation of modified gravity with a non-minimal curvature-matter coupling
Title | Palatini formulation of modified gravity with a non-minimal curvature-matter coupling | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Authors | |||||||||||||
Keywords | Gravity Einstein field equations Equations of motion Scalar field theory Lagrangian functions | ||||||||||||
Issue Date | 2011 | ||||||||||||
Publisher | World 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? | ||||||||||||
Abstract | We 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 Identifier | http://hdl.handle.net/10722/139627 | ||||||||||||
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 0.404 | ||||||||||||
ISI Accession Number ID |
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 Field | Value | Language |
---|---|---|
dc.contributor.author | Harko, T | en_US |
dc.contributor.author | Koivisto, TS | en_US |
dc.contributor.author | Lobo, FSN | en_US |
dc.date.accessioned | 2011-09-23T05:52:44Z | - |
dc.date.available | 2011-09-23T05:52:44Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | Modern Physics Letters A, 2011, v. 26 n. 20, p. 1467-1480 | en_US |
dc.identifier.issn | 0217-7323 | - |
dc.identifier.uri | http://hdl.handle.net/10722/139627 | - |
dc.description.abstract | We 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.language | eng | en_US |
dc.publisher | World Scientific Publishing Co Pte Ltd. The Journal's web site is located at http://www.worldscinet.com/mpla/mpla.shtml | en_US |
dc.relation.ispartof | Modern Physics Letters A | en_US |
dc.rights | Modern Physics Letters A. Copyright © World Scientific Publishing Co Pte Ltd. | - |
dc.rights | Electronic 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.subject | Gravity | - |
dc.subject | Einstein field equations | - |
dc.subject | Equations of motion | - |
dc.subject | Scalar field theory | - |
dc.subject | Lagrangian functions | - |
dc.title | Palatini formulation of modified gravity with a non-minimal curvature-matter coupling | en_US |
dc.type | Article | en_US |
dc.identifier.email | Harko, T: harko@hkucc.hku.hk | en_US |
dc.identifier.email | Koivisto, TS: t.s.koivisto@uu.nl | - |
dc.identifier.email | Lobo, FSN: flobo@cii.fc.ul.pt. | - |
dc.identifier.authority | Harko, TC=rp01333 | en_US |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1142/S0217732311035869 | en_US |
dc.identifier.hkuros | 195356 | en_US |
dc.identifier.volume | 26 | en_US |
dc.identifier.issue | 20 | - |
dc.identifier.spage | 1467 | en_US |
dc.identifier.epage | 1480 | en_US |
dc.identifier.isi | WOS:000292641900002 | - |
dc.publisher.place | Singapore | - |
dc.identifier.issnl | 0217-7323 | - |