On the equivalence between different canonical forms of F(R) theory of gravity

DOI10.1142/S0218271818500852zbMath1430.83087arXiv1708.02624MaRDI QIDQ5216124

Abhik Kumar Sanyal, Nayem Sk

Publication date: 14 February 2020

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02624

zbMATH Keywords

equivalenceLagrangian multiplier technique\(F(R)\) theoryJordan's frame, Einstein's frame

Mathematics Subject Classification ID

Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (2)

Analyzing conserved currents in F(R) theory of gravity ⋮ The role of cosmological constant in f(R, G) gravity

Cites Work

• Conditional symmetries and the canonical quantization of constrained minisuperspace actions: the Schwarzschild case
• Higher-order corrections to the effective gravitational action from Noether symmetry approach
• Why Noether symmetry of \(F(R)\) theory yields three-half power law?
• A new type of isotropic cosmological models without singularity
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>theories of gravity
• Spherically symmetric solutions to fourth-order theories of gravity
• The Cauchy problem for the R+R2 theories of gravity without torsion
• Isotropic universe with almost scale-invariant fourth-order gravity
• Lie point and variational symmetries in minisuperspace Einstein gravity
• Mach's Principle and Invariance under Transformation of Units
• General Relativity

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