Scalar field cosmologies and the initial spacetime singularity

Foster, Scott D.

doi:10.1088/0264-9381/15/11/014

Cited by 76 publications

(184 citation statements)

References 41 publications

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“…In this section we discuss the example of a double exponential potential, presented in [91], applying the procedure of [155,170]. Our new results complement those in [91].…”

Section: Examplesmentioning

confidence: 54%

“…Preceding works for a large variety of non-negative potentials are [151,152,153,154,155,156,157,158]. In the reference [158], it have been extended many of the results obtained in [156] by considering arbitrary potentials.…”

Section: Introductionmentioning

confidence: 99%

“…In [161] were investigated flat FLRW cosmologies based on STTs. The new asymptotic expansions for the cosmological solutions near the initial space-time singularity obtained there contains as particular cases those studied in [155]. The proof of the local initial singularity theorem presented in [161] have been improved in [162].…”

Section: Introductionmentioning

confidence: 99%

“…The aim of the paper is to extent several results in [155,156,161,168,169,171,91] for the general case of arbitrary potentials and arbitrary couplings. It is described the early and late-time dynamics of the models and we pay special attention to the possible scaling solutions.…”

Section: Introductionmentioning

confidence: 99%

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Some remarks about non-minimally coupled scalar field models

Fadragas

León

2014

Class. Quantum Grav.

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Abstract.Several results related to flat Friedmann-Lemaître-Robertson-Walker models in the conformal (Einstein) frame of scalartensor gravity theories are extended. Scalar fields with arbitrary (positive) potentials and arbitrary coupling functions are considered. Mild assumptions under such functions (differentiable class, number of singular points, asymptotes, etc) are introduced in a straightforward manner in order to characterize the asymptotic structure on a phase space. We pay special attention to the possible scaling solutions. Numerical evidence confirming our results is presented.PACS numbers: 98.80.Jk,98.80.Cq., 95.36.+x, 95.30.Sf, 04.20.Ha Some remarks about non-minimally coupled scalar field models 2

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“…In this section we discuss the example of a double exponential potential, presented in [91], applying the procedure of [155,170]. Our new results complement those in [91].…”

Section: Examplesmentioning

confidence: 54%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Some remarks about non-minimally coupled scalar field models

Fadragas

León

2014

Class. Quantum Grav.

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“…then it is straightforward to see that the Lagrangians (19) and (22) are equivalent. The proposition is proved.…”

Section: Minkowski Spacementioning

confidence: 99%

Quantization of the Riemann Zeta-Function and Cosmology

Aref’eva

Волович

2007

Int. J. Geom. Methods Mod. Phys.

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Quantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and quantum field theories. This approach is motivated by the theory of p-adic strings and by recent works on stringy cosmological models. We show that the Lagrangian for the zeta-function field is equivalent to the sum of the Klein-Gordon Lagrangians with masses defined by the zeros of the Riemann zeta-function. Quantization of the mathematics of Fermat-Wiles and the Langlands program is indicated. The Beilinson conjectures on the values of L-functions of motives are interpreted as dealing with the cosmological constant problem. Possible cosmological applications of the zeta-function field theory are discussed.

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Scalar Field Evolution at Background and Perturbation Levels for a Broad Class of Potentials

Leon,

Chakraborty,

Ghosh

et al. 2023

Fortschritte der Physik

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In this paper, a non‐interacting scalar field cosmology with an arbitrary potential using the f‐deviser method that relies on the differentiability properties of the potential is investigated. Using this alternative mathematical approach, a unified dynamical system analysis at a scalar field's background and perturbation levels with arbitrary potentials is presented. For illustration, a monomial and double exponential potential is considered. These two classes of potentials comprise the asymptotic behavior of several classes of scalar field potentials, and, therefore, they provide the skeleton for the typical behavior of arbitrary potentials. Moreover, the linear cosmological perturbations in the matterless case by considering three scalar perturbations: the evolution of the Bardeen potentials, the comoving curvature perturbation, the so‐called Sasaki‐Mukhanov variable, or the scalar field perturbation in uniform curvature gauge is analyzed. Finally, an exhaustive dynamical system analysis for each scalar perturbation is presented, including the evolution of Bardeen potentials in the presence of matter.

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Scalar field cosmologies and the initial spacetime singularity

Cited by 76 publications

References 41 publications

Some remarks about non-minimally coupled scalar field models

Some remarks about non-minimally coupled scalar field models

Quantization of the Riemann Zeta-Function and Cosmology

Scalar Field Evolution at Background and Perturbation Levels for a Broad Class of Potentials

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