Scalar tensor theory of gravity carrying a conserved current

Abstract

A general scalar-tensor theory of gravity carries a conserved current for a trace free minimally coupled scalar field, under the condition that the potential $V(\varphi )$ of the nonminimally coupled scalar field is proportional to the square of the parameter $f(\varphi )$ that is coupled with the scalar curvature $R$. The conserved current relates the pair of arbitrary coupling parameters $f(\varphi )$ and $\omega (\varphi )$, where the latter is the Brans-Dicke coupling parameter. Thus fixing up the two arbitrary parameters by hand, it is possible to explore the symmetries and the form of conserved currents corresponding to standard and many different nonstandard models of gravity.

arXiv comment8 pages

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Cited by in corpus (10)

• Viability of Noether symmetry of F(R) theory of gravity
• 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
• Study of symmetry in F(R) theory of gravity
• History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
• Field independent cosmic evolution
• Constraints on cosmological parameters in light of the scalar-tensor theory of gravity and swampland conjectures
• Analyzing Conserved Currents in F(R) theory of gravity
• Revisiting Noether symmetry approach in F(R)-tachyon Model
• New conserved tensors and Brans-Dicke type field equation, using integrability condition