A new duality transformation for fourth-order gravity

DOI10.1023/A:1018883216747zbMath0883.53071arXivgr-qc/9703002OpenAlexW1835462066MaRDI QIDQ1368715

Hans-Jürgen Schmidt

Publication date: 1997

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9703002

zbMATH Keywords

nonlinear Lagrangianconformal equivalenceconformal relations in fourth-order gravity

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (2)

f(R) dual theories of quintessence: expansion-collapse duality ⋮ Cosmology with curvature-saturated gravitational Lagrangian \(R/\sqrt{1 + l^4 R^2}\)

Cites Work

• Nonlinear gravitational Lagrangians
• Remark on the equations \(\delta R^2/\delta g_{ij}=0\)
• Fourth-order gravity and conformal transformations
• Comparing selfinteracting scalar fields and R + R³ cosmological models
• A four-dimensional theory for quantum gravity with conformal and non-conformal explicit solutions
• A nonlocal action for the trace anomaly

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