A unified approach to variational derivatives of modified gravitational actions

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dc.contributor.authorBaykal, Ahmet
dc.contributor.authorDelice, OZgur
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2011
dc.departmentNiğde ÖHÜ
dc.description.abstractOur main aim in this paper is to promote the coframe variational method as a unified approach to derive field equations for any given gravitational action containing the algebraic functions of the scalars constructed from the Riemann curvature tensor and its contractions. We are able to derive a master equation which expresses the variational derivatives of the generalized gravitational actions in terms of the variational derivatives of its constituent curvature scalars. Using the Lagrange multiplier method relative to an orthonormal coframe, we investigate the variational procedures for modified gravitational Lagrangian densities in spacetime dimensions n >= 3. We study the well-known gravitational actions such as those involving the Gauss-Bonnet and Ricci-squared, Kretchmann scalar, Weyl-squared terms and their algebraic generalizations similar to generic f(R) theories and the algebraic generalization of sixth order gravitational Lagrangians. We put forth a new model involving the gravitational Chern-Simons term and also give three-dimensional new massive gravity equations in a new form in terms of the Cotton 2-form.
dc.identifier.doi10.1088/0264-9381/28/1/015014
dc.identifier.issn0264-9381
dc.identifier.issue1
dc.identifier.scopus2-s2.0-78650991447
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://dx.doi.org/10.1088/0264-9381/28/1/015014
dc.identifier.urihttps://hdl.handle.net/11480/4762
dc.identifier.volume28
dc.identifier.wosWOS:000285238200014
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherIOP PUBLISHING LTD
dc.relation.ispartofCLASSICAL AND QUANTUM GRAVITY
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleA unified approach to variational derivatives of modified gravitational actions
dc.typeArticle

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