scholarly journals Slow-roll, acceleration, the big rip and the Wentzel–Kramers–Brillouin approximation in the non-linear Schrödinger-type formulation of scalar field cosmology

2008 ◽  
Vol 2008 (09) ◽  
pp. 028 ◽  
Author(s):  
Burin Gumjudpai
Keyword(s):  
Scalar Field ◽  
Big Rip ◽  
Slow Roll ◽  
Non Linear ◽  
Scalar Field Cosmology

Investigating inflation driven by DBI-essence scalar field

2020 ◽  
Vol 29 (12) ◽  
pp. 2050087
Author(s):  
Gargee Chakraborty ◽  
Surajit Chattopadhyay
Keyword(s):  
Scalar Field ◽  
Early Universe ◽  
Inflationary Model ◽  
Type Iii ◽  
Ultraviolet Cutoff ◽  
Big Rip ◽  
Slow Roll ◽  
Limiting Case

Motivated by the work of Nojiri et al., Phys. Lett. B 797, 134829 (2019), the present study demonstrates inflation driven by holographic DBI-essence scalar field. Considering a simple correction due to the Ultraviolet cutoff, we have studied the slow-roll parameters. It has been observed that the role of the UV-cutoff is not negligible and in the limiting case of [Formula: see text] the inflationary model is characterized by Type-III singularity but can avoid Big-Rip singularity. Finally, it has been observed that the trajectories in [Formula: see text] are compatible with the observational bound found by Planck. It has been concluded that the tensor to scalar ratio for this model can explain the primordial fluctuation in the early universe as well. However, under the purview of [Formula: see text] inflation, although the DBI-essence scalar field can explain primordial fluctuation, the holographic DBI-essence scalar field does not lead to [Formula: see text] trajectory satisfying the Planck’s observational bound.

scholarly journals Phantom expansion with non-linear Schrödinger-type formulation of scalar field cosmology

2009 ◽  
Vol 42 (2) ◽  
pp. 225-240 ◽  
Author(s):  
Theerakarn Phetnora ◽  
Roongtum Sooksan ◽  
Burin Gumjudpai
Keyword(s):  
Scalar Field ◽  
Non Linear ◽  
Scalar Field Cosmology

scholarly journals Method of multiple scales in scalar field cosmology

2021 ◽  
Vol 2081 (1) ◽  
pp. 012037
Author(s):  
V M Zhuravlev ◽  
S V Chervon
Keyword(s):  
Scalar Field ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
General Scheme ◽  
Small Field ◽  
Slow Roll ◽  
Different Types ◽  
Walker Metric ◽  
Scalar Field Cosmology ◽  
The Universe

Abstract In this work, the method of multiple scales is applied to analysis of cosmological dynamics. The method is used to construct solutions to the dynamic equations of the Universe filled with a scalar field in the Friedman-Robertson-Walker metric. A general scheme is described for choosing small dimensionless parameters of the expansion of model functions and applying the method itself to the equations of cosmological dynamics. Solutions are given that are constructed for two different types of a small parameter - a small field value and a small slow roll parameter.

scholarly journals Quantum corrections to slow-roll inflation: scalar and tensor modes

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Jens O. Andersen ◽  
Magdalena Eriksson ◽  
Anders Tranberg
Keyword(s):  
Scalar Field ◽  
Quantum Corrections ◽  
Tree Level ◽  
Field Equations ◽  
Slow Roll ◽  
Scalar Field Equations ◽  
Slow Rolling ◽  
Different Sources ◽  
Suitable Potential ◽  
Quadratic Order

Abstract Inflation is often described through the dynamics of a scalar field, slow-rolling in a suitable potential. Ultimately, this inflaton must be identified with the expectation value of a quantum field, evolving in a quantum effective potential. The shape of this potential is determined by the underlying tree-level potential, dressed by quantum corrections from the scalar field itself and the metric perturbations. Following [1], we compute the effective scalar field equations and the corrected Friedmann equations to quadratic order in both scalar field, scalar metric and tensor perturbations. We identify the quantum corrections from different sources at leading order in slow-roll, and estimate their magnitude in benchmark models of inflation. We comment on the implications of non-minimal coupling to gravity in this context.

The dynamical system approach to scalar field cosmology

2000 ◽  
Vol 17 (8) ◽  
pp. 1783-1814 ◽  
Author(s):  
E Gunzig ◽  
V Faraoni ◽  
A Figueiredo ◽  
T M Rocha Filho ◽  
L Brenig
Keyword(s):  
Dynamical System ◽  
Scalar Field ◽  
System Approach ◽  
Dynamical System Approach ◽  
Scalar Field Cosmology

scholarly journals Noncommutativity and scalar field cosmology

2007 ◽  
Vol 76 (8) ◽  
Author(s):  
W. Guzmán ◽  
M. Sabido ◽  
J. Socorro
Keyword(s):  
Scalar Field ◽  
Scalar Field Cosmology

scholarly journals Quantum cosmology of Eddington-Born–Infeld gravity fed by a scalar field: The big rip case

2019 ◽  
Vol 23 ◽  
pp. 100255 ◽  
Author(s):  
Imanol Albarran ◽  
Mariam Bouhmadi-López ◽  
Che-Yu Chen ◽  
Pisin Chen
Keyword(s):  
Scalar Field ◽  
Quantum Cosmology ◽  
Big Rip

scholarly journals Application of the form invariance transformations of the scalar cosmological model in inflation theory

2021 ◽  
Vol 2090 (1) ◽  
pp. 012054
Author(s):  
O V Razina ◽  
P Yu Tsyba ◽  
N T Suikimbayeva
Keyword(s):  
Scalar Field ◽  
Equations Of Motion ◽  
Scale Factor ◽  
Transformation Model ◽  
Observation Data ◽  
Form Invariance ◽  
Slow Roll ◽  
Factor Α ◽  
Friedmann Robertson Walker ◽  
Invariance Transformation

Abstract In this work, it is shown that the equations of motion of the scalar field for spatially flat, homogeneous, and isotropic space-time Friedmann-Robertson-Walker have a form-invariance symmetry, which is arising from the form invariance transformation. Form invariance transformation is defined by linear function ρ = n 2 ρ in general case. It is shown the method of getting potential and the scalar field for the power law scale factor. The initial model is always stable at exponent of the scale factor α > 1, but stability of the transformation model depends on index n. Slow roll parameters and spectral induces is obtained and at large α they agree with Planck observation data.

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