Lovelock Gravity at the Crossroads of Palatini and Metric Formulations

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dc.creatorExirifard, Q.
dc.creatorSheikh-Jabbari, M. M.
dc.date2007-05-14
dc.date2007-08-16
dc.date.accessioned2026-07-07T11:16:07Z
dc.date.available2026-07-07T11:16:07Z
dc.descriptionWe consider extensions of the Einstein-Hilbert Lagrangian to a general functional of metric and Riemann curvature tensor. A given such Lagrangian describes two different theories depending on considering connection and metric (Palatini formulation), or only the metric (metric formulation) as independent dynamical degrees of freedom. Equivalence of the Palatini and metric formulations at the level of equations of motion, which as we will argue is a manifestation of the Equivalence Principle, is the physical criterion that restricts form of the Lagrangians of modified gravity theories. We prove that within the class of modified gravity theories we consider, only the Lovelock gravity satisfies this requirement.
dc.descriptionRevtex, 4 pp, no figures; v3: Presentation improved, a reference added
dc.identifierhttps://arxiv.org/abs/0705.1879
dc.identifierhttp://arxiv.org/abs/0705.1879
dc.identifierPhys.Lett.B661:158-161,2008
dc.identifierdoi:10.1016/j.physletb.2008.02.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192565
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLovelock Gravity at the Crossroads of Palatini and Metric Formulations
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