Non-minimally coupled cosmological models with the Higgs-like potentials and negative cosmological constant

@article{Arefeva2014NonminimallyCC,
  title={Non-minimally coupled cosmological models with the Higgs-like potentials and negative cosmological constant},
  author={Irina Ya. Aref’eva and N. V. Bulatov and Roman V. Gorbachev and Sergey Vernov},
  journal={Classical and Quantum Gravity},
  year={2014},
  volume={31},
  pages={065007}
}
We study dynamics of non-minimally coupled scalar field cosmological models with Higgs-like potentials and a negative cosmological constant. In these models, the inflationary stage of the Universe evolution changes into a quasi-cyclic stage of the Universe evolution with oscillation behaviour of the Hubble parameter from positive to negative values. Depending on the initial conditions, the Hubble parameter can perform either one or several cycles before becoming negative forever. 

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References

SHOWING 1-10 OF 89 REFERENCES
Friedmann cosmology with nonpositive-definite Higgs potentials
We consider classical aspects of the dynamics of scalar fields with nonpositive-definite potentials in the Friedmann cosmology. Such models appear as effective local models in the framework of
Dynamics in nonlocal linear models in the Friedmann–Robertson–Walker metric
A general class of cosmological models driven by a nonlocal scalar field inspired by string field theory is studied. Using the fact that the considering linear nonlocal model is equivalent to an
Cosmological perturbations in SFT inspired non-local scalar field models
We study cosmological perturbations in models with a single non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We construct the equation for
Induced gravity inflation in the standard model of particle physics
Abstract We are considering the cosmological consequences of an induced gravity theory coupled to the minimal standard model of particle physics. The non-minimal coupling parameter between gravity
Reconstruction of Scalar Potentials in Modified Gravity Models
We employ the superpotential technique for the reconstruction of cosmological models with a non-minimally coupled scalar field evolving on a spatially flat Friedmann-Robertson-Walker background. The
Nonlocal String Tachyon as a Model for Cosmological Dark Energy
There are many different phenomenological models describing the cosmological dark energy and accelerating Universe by choosing adjustable functions. In this paper we consider a specific model of
Non-minimal Higgs Inflation and Frame Dependence in Cosmology
We investigate a very general class of cosmological models with scalar fields non-minimally coupled to gravity. A particular representative in this class is given by the non-minimal Higgs inflation
Dynamical Dark Energy and Spontaneously Generated Gravity
Abstract We study the cosmological evolution of an induced gravity model with a scale symmetry breaking potential for the scalar field and the presence of barotropic fluids. The radiation to matter
The Standard Model Higgs boson as the inflaton
We argue that the Higgs boson of the Standard Model can lead to inflation and produce cosmological perturbations in accordance with observations. An essential requirement is the non-minimal coupling
Quantum backreaction in scale-invariant induced gravity inflation
A quartic, self-interacting potential in the induced gravity framework is known to have a pure de Sitter attractor for the homogeneous mode. In order to obtain non-zero slow roll parameters we
...
1
2
3
4
5
...