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Cauchy constraints and particle content of fourth-order gravity in n dimensions
Institution:1. Stazione Zoologica Anton Dohrn of Naples, Integrative Marine Ecology Department, Branch office ‘Villa Dohrn’, Punta S. Pietro, 80077, Ischia, Naples, Italy;2. Department of Biology, University of Naples Federico II, Via Cinthia, 80126 Naples, Italy;3. Institute for Sustainable Plant Protection, The National Research Council of Italy, via Madonna del Piano 10, 50019 Sesto Fiorentino, FI, Italy;1. Global Centre for Environmental Remediation, Faculty of Science and Information Technology, The University of Newcastle, Callaghan, NSW 2308, Australia;2. Cooperative Research Centre for Contamination Assessment and Remediation of the Environment (CRC-CARE), Mawson Lakes, Adelaide, SA 5095, Australia;3. University of South Australia, Adelaide, SA 5001, Australia;4. School of Pharmacy & Medical Sciences, Sansom Institute for Health Research, University of South Australia, Adelaide, SA 5000, Australia;1. PROSYS, Department of Chemical and Biochemical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark.;2. Haldor Topsøe A/S. Haldor Topsøes Allé 1, DK-2800 Kgs. Lyngby
Abstract:The full class of purely metrical gravitational theories in n⩾3 dimensions which follows from a Lagrangian composed of linear and quadratic curvature terms is analyzed. The type of the field equations in a suitable gauge is discussed. The principal symbol and the particle content of the linearized field equations are investigated. The space+time decomposition and the ADM formalism are used to derive the constraints and evolution equations for the variational derivative tensor.
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