Coupling parameters and the form of the potential via Noether symmetry

DOI10.1023/A:1025731102050zbMath1029.83047arXivastro-ph/0210063OpenAlexW3099652220MaRDI QIDQ1413795

Ester Piedipalumbo, Claudio Rubano, Abhik Kumar Sanyal

Publication date: 17 November 2003

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

Full work available at URL: https://arxiv.org/abs/astro-ph/0210063

zbMATH Keywords

cosmologyEinstein equationsNoether symmetryFRW metricdegenerate LagrangianKantowski-Sachs metric

Mathematics Subject Classification ID

Relativistic cosmology (83F05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items

Noether gauge symmetry classes for pp-wave spacetimes ⋮ Analyzing conserved currents in F(R) theory of gravity ⋮ Noether gauge symmetry for \(f(R)\) gravity in Palatini formalism ⋮ Noether symmetry of Palatini F(ℜ) gravity ⋮ Viability of Noether symmetry of \(F(R)\) theory of gravity ⋮ Scalar-tensor theory of gravity carrying a conserved current ⋮ LRS Bianchi type I universes exhibiting Noether symmetry in the scalar-tensor Brans-Dicke theory ⋮ Reconstruction of \(F(T)\) gravity in homogeneous backgrounds and a general prescription for reconstructing through scalar field

Cites Work

• Unnamed Item
• Unnamed Item
• The inverse problem in the calculus of variations and the geometry of the tangent bundle
• The generalized Nordtvedt effect
• On some exponential potentials for a cosmological scalar field as quintessence
• Comments on the paper astro-ph/0103335 by C. Rubano and P. Scudellaro
• Is the Nöther symmetric approach consistent with the dynamical equation in non-minimal scalar-tensor theories?
• Mach's Principle and a Relativistic Theory of Gravitation
• GRAVITATIONAL COUPLING FUNCTION IN SCALAR–TENSOR THEORIES
• Noether symmetry of the hyperextended scalar–tensor theory for the FLRW models
• Evolution of dynamical coupling in scalar tensor theory from Noether symmetry
• Noether and some other dynamical symmetries in Kantowski-Sachs model