Dynamics of nonminimally coupled scalar field models with generic potentials in FLRW background
Shahalam M. Myrzakul S.
April 2021Springer
General Relativity and Gravitation
2021#53Issue 4
We study the phase space analysis of a nonminimally coupled scalar field model with generic potentials such as KKLT, Higgs, inverse and inverse square. Our investigation brings new asymptotic regimes, and obtains stable de-Sitter solution. In case of KKLT, we do not find stable de-Sitter solution whereas Higgs model satisfies the de-Sitter condition but does not provide a stable de-Sitter solution in usual sense as one of the eigenvalue is zero. We obtain time derivative of Hubble constant H˙ = 0 , equation of state wϕ≃ - 1 , scalar field ϕ= constant and the positive effective gravitational constant (Geff> 0), which are missed in our earlier work. Therefore, in case of F(ϕ) R coupling with F(ϕ) = 1 - ξϕ2 and the models of inverse and inverse square potentials− a true stable de-Sitter solution is trivially satisfied.
Dark energy , Modified theories of gravity , Nonminimal coupling , Phase space analysis
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Institute for Theoretical Physics & Cosmology, Zhejiang University of Technology, Hangzhou, 310023, China
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan
Eurasian National University, Nur-Sultan, 010008, Kazakhstan
Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Institute for Theoretical Physics & Cosmology
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Eurasian National University
Nazarbayev University
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