# General solutions of integrable cosmological models with non-minimal coupling

@article{Kamenshchik2016GeneralSO, title={General solutions of integrable cosmological models with non-minimal coupling}, author={Alexander Yu. Kamenshchik and Ekaterina O. Pozdeeva and Alessandro Tronconi and Giovanni Venturi and Sergey Yu. Vernov}, journal={Physics of Particles and Nuclei Letters}, year={2016}, volume={14}, pages={382 - 385} }

We study the integrable model with minimally and non-minimally coupled scalar fields and the correspondence of their general solutions. Using the model with a minimally coupled scalar field and a the constant potential as an example we demonstrate the difference between the general solutions of the corresponding models in the Jordan and the Einstein frames.

## 12 Citations

### Integrable cosmological models in the Einstein and in the Jordan frames and Bianchi-I cosmology

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### Induced Gravity Models with Exact Bounce Solutions

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### Superpotential Method for $$F(R)$$ Cosmological Models

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### Asymptotically safe non-minimal inflation

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### Integrable Cosmological Models with Liouville Field: Energy Density Self-Adjointness and Semiclassical Wave Packets

- Physics
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The homogeneous cosmological models with a Liouville scalar field are investigated in classical and quantum context of geometrodynamics. An integral of motion is used to eliminate the lapse function…

### Integrable minisuperspace models with Liouville field: energy density self-adjointness and semiclassical wave packets

- PhysicsThe European Physical Journal C
- 2018

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### Scalar-tensor cosmologies in a minisuperspace formulation: a case study

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- 2021

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### f ( G ) Noether cosmology

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### $$f(\mathcal {G})$$ Noether cosmology

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