Study of symmetry in F(R) theory of gravity

Abstract

An action in which the Ricci scalar is nonminimally coupled with a scalar field and contains higher order curvature invariant terms carries a conserved current under certain conditions that decouples geometric part from the scalar field. The conserved current relates the pair of arbitrary coupling parameters $f(\varphi )$ and $\omega (\varphi )$ with the gravitational field variable, where $\omega (\varphi )$ is the Brans-Dicke coupling parameter. The existence of such conserved current may be helpful to sketch the cosmological evolution from its early age till date in a single frame.

6 pages

References in corpus (3)

• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Maximal symmetry and metric-affine f(R) gravity

Cited by in corpus (10)

• Two scalar field cosmology: Conservation laws and exact solutions
• Viability of Noether symmetry of F(R) theory of gravity
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• Unified cosmology with Non-minimally coupled scalar-tensor theory of gravity
• Noether Symmetries of a Modified Model in Teleparallel Gravity and a New Approach for Exact Solutions
• Field independent cosmic evolution
• Constraints on cosmological parameters in light of the scalar-tensor theory of gravity and swampland conjectures
• Reconstructing modified and alternative theories of gravity
• New conserved tensors and Brans-Dicke type field equation, using integrability condition
• Analyzing Conserved Currents in F(R) theory of gravity