Noether symmetries and duality transformations in cosmology

DOI10.1142/S0217732316501832zbMath1352.83013arXiv1602.08914MaRDI QIDQ2831069

Andronikos Paliathanasis, Salvatore Capozziello

Publication date: 2 November 2016

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08914

zbMATH Keywords

cosmologydilaton fieldduality transformationNoether symmetries\(f(R)\)-gravityBrans-Dicke scalar field

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (5)

Duality transformation and conformal equivalent scalar–tensor theories ⋮ Multi-fluid cosmology in Einstein gravity: analytical solutions ⋮ A new approach to the analysis of the reconstruction methods, phase space, and exact solutions of the alternative theories of gravity and a new approach to reconstruction based on the behavior of scalar field(s) ⋮ On the application of Lie point symmetries in cosmological theories with minisuperspace description ⋮ Reconstruction of \(F(T)\) gravity in homogeneous backgrounds and a general prescription for reconstructing through scalar field

Cites Work

• Beyond Einstein gravity. A survey of gravitational theories for cosmology and astrophysics.
• Cosmology in scalar-tensor gravity.

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