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- W3099669798 abstract "The present work deals with scalar field cosmology in the framework of a quantum gravity modified Einstein-Hilbert Lagrangian with variable $G$ and $Lambda$. Using Renormalization group, variable $G$ behaves as a minimally coupled filed (not the scalar-tensor theory) and variable $Lambda$ can be interpreted as a potential function. The point Lagrangian for this model in the background of homogeneous and isotropic flat FLRW space-time model experiences point-like Noether symmetry and equivalent potential function $Lambda(G)$ is determined. Using a point transformation in the $3D$ augmented space is found that one of the variable become cyclic and as a consequence there is considerable simplification to the physical system. Lastly, the constants of motion can be written in compact form and it is possible to have analytic cosmological solutions in the present context." @default.
- W3099669798 created "2020-11-23" @default.
- W3099669798 creator A5022000851 @default.
- W3099669798 creator A5040063710 @default.
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- W3099669798 date "2019-08-29" @default.
- W3099669798 modified "2023-09-23" @default.
- W3099669798 title "Variable G and $$Lambda $$ gravity theory and analytical cosmological solutions using Noether symmetry approach" @default.
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- W3099669798 doi "https://doi.org/10.1007/s10714-019-2595-1" @default.
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