Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame

Paliathanasis, Andronikos

doi:10.3390/universe8060325

Cited by 3 publications

(1 citation statement)

References 106 publications

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“…Multi-scalar fields have been widely studied in the literature. Some well-known two-scalar field models are the quintom [16] or the Chiral model which leads to hyperbolic inflation [17], while other proposed multi-scalar fields theories can be found for instance in [18][19][20][21][22][23] and references therein. A simple mechanism to introduce a multi-scalar field theory is to consider the existence of a complex scalar field, the real and imaginary parts of which give the equivalent of a two scalar-field theory [24,25].…”

Section: Introductionmentioning

confidence: 99%

Complex scalar fields in scalar-tensor and scalar-torsion theories

Paliathanasis

2022

Mod. Phys. Lett. A

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In this paper, we investigate the cosmological dynamics in a spatially flat Friedmann–Lemaître–Robertson–Walker geometry in scalar-tensor and scalar-torsion theories where the nonminimally coupled scalar field is a complex field. We derive the cosmological field equations and we make use of dimensionless variables in order to determine the stationary points and determine their stability properties. The physical properties of the stationary points are discussed while we find that the two-different theories, scalar-tensor and scalar-torsion theories, share many common features in terms of the evolution of the physical variables in the background space.

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Section: Introductionmentioning

confidence: 99%

Complex scalar fields in scalar-tensor and scalar-torsion theories

Paliathanasis

2022

Mod. Phys. Lett. A

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Quantum cosmology in coupled Brans–Dicke gravity: A Noether symmetry analysis

Laya

Dutta²,

Chakraborty

2022

Int. J. Mod. Phys. D

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This work deals with a multi-field cosmological model in a spatially flat FLRW spacetime geometry. The usual Brans–Dicke (BD) field and another scalar field are minimally coupled to gravity while they interact with each other through the Kinetic terms. The main aim of this work is to examine whether the model is compatible with cosmic observations. So cosmological solutions are obtained using symmetry analysis only. By imposing Noether Symmetry to the Lagrangian of the system, the potential of the scalar field as well as the coupling function had been determined. The classical solutions are determined after simplifying the Lagrangian using cyclic variables. Finally, Wheeler–DeWitt (WD) equation in quantum cosmology has been formulated and conserved momenta corresponding to Noether symmetry will show the periodic part of the wave function and it helps to have the complete integral for the wave function.

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Bianchi I Spacetimes in Chiral–Quintom Theory

Paliathanasis

2022

Universe

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In this paper, we study anisotropic exact solutions in the homogeneous Bianchi I background geometry in a multifield theory. Specifically, we consider the Chiral–Quintom theory, which is an extension of the Chiral theory, because at least one of the scalar fields can have negative energy density. Moreover, the Quintom theory can be recovered when one of the free parameters of the theory vanishes. We find that Kasner-like and anisotropic exponential solutions exist for specific functional forms of the scalar field potential. Finally, Noether symmetry analysis is applied for the classification of the theory according to the admitted symmetries. Conservation laws are determined, while we show that the Kasner-like solution is the analytic solution for the given model.

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Analytic Solution and Noether Symmetries for the Hyperbolic Inflationary Model in the Jordan Frame

Cited by 3 publications

References 106 publications

Complex scalar fields in scalar-tensor and scalar-torsion theories

Complex scalar fields in scalar-tensor and scalar-torsion theories

Quantum cosmology in coupled Brans–Dicke gravity: A Noether symmetry analysis

Bianchi I Spacetimes in Chiral–Quintom Theory

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