Closed-form solutions of the Wheeler–DeWitt equation in a scalar-vector field cosmological model by Lie symmetries

Paliathanasis, Andronikos; Vakili, Babak

doi:10.1007/s10714-015-2010-5

Cited by 6 publications

(11 citation statements)

References 54 publications

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“…However, the f (R) version of the action (1) has been introduced and studied in Refs. [45][46][47][48]. By the use of the Noether approach, we found that late-time-accelerated expansion is realized with this model.…”

Section: Resultsmentioning

confidence: 70%

“…In this paper, we studied an original action in Teleparallel gravity which has never been introduced in the literature. However, the f (R) version of the action (1) has been introduced and studied in some papers [45]- [48]. By the use of Noether approach, we found that late-time-accelerated expansion is realized with this model.…”

Section: Discussionmentioning

confidence: 86%

“…3.1, we study the general form of the Noether symmetry, which is perceived as a Noether gauge symmetry. However, this terminology is wrong because there is no gauge [48][49][50]. In Sect.…”

Section: Noether Symmetrymentioning

confidence: 99%

“…In some papers such as Refs. [47]- [48], the authors used this model, perhaps, to answer the question that whether or not this model may describe the late-time-accelerated expansion. Maybe, the main motivations for applying such models are the efforts for reaching at a unified model (with a single scalar field) which describes the stages of cosmic evolution.…”

Section: The Modelmentioning

confidence: 99%

“…In first subsection III A, we study the general form of Noether symmetry which is perceived as Noether gauge symmetry. However, this terminology is wrong because there is no gauge [48]- [50]. In second subsection III B, we study spatial Noether symmetry which is distinguished as common Noether Symmetry.…”

Section: Noether Symmetrymentioning

confidence: 99%

See 4 more Smart Citations

Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions

Tajahmad

2017

Eur. Phys. J. C

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In this paper, we present the Noether symmetries of flat FRW spacetime in the context of a new action in teleparallel gravity which we construct based on the f (R) version. This modified action contains a coupling between the scalar field potential and magnetism. Also, we introduce an innovative approach, the beyond Noether symmetry (B.N.S.) approach, for exact solutions which carry more conserved currents than the Noether approach. By data analysis of the exact solutions, obtained from the Noether approach, late-time acceleration and phase crossing are realized, and some deep connections with observational data such as the age of the universe, the present value of the scale factor as well as the state and deceleration parameters are observed. In the B.N.S. approach, we consider the dark energy dominated era.

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Section: Resultsmentioning

confidence: 70%

Section: Discussionmentioning

confidence: 86%

“…3.1, we study the general form of the Noether symmetry, which is perceived as a Noether gauge symmetry. However, this terminology is wrong because there is no gauge [48][49][50]. In Sect.…”

Section: Noether Symmetrymentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: Noether Symmetrymentioning

confidence: 99%

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Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions

Tajahmad

2017

Eur. Phys. J. C

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Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approach

Tajahmad

2020

J. High Energ. Phys.

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In this paper, a modified teleparallel gravity action containing a coupling between a scalar field potential and magnetism, in anisotropic and homogeneous backgrounds, is investigated through Noether symmetry approach. The focus of this work is to describe late-time-accelerated expansion. Since finding analytical solutions carrying all conserved currents emerged by Noether symmetry approach, is very difficult, hence regularly in the literature, the authors split the total symmetry into sub-symmetries and then select, usually, some of them to be carried by the solutions. This manner limits the forms of unknown functions obtained. However, in ref.[68], B.N.S. approach was proposed in order to solve such problems but its main motivation was carrying more conserved currents by solutions. In this paper, by eliminating the aforementioned limitation as much as possible, a trick leading to some graceful forms of unknown functions is suggested. Through this fruitful approach, the solutions may carry more conserved currents than usual ways and maybe new forms of symmetries. I named this new approach to be CSSS-trick (Combination of Sub-symmetries through Special Selections). With this approach, it is demonstrated that the unified dark matter potential is deduced by the gauge fields. Utilizing the B-function method, a detailed data analysis of results obtained yielding perfect agreements with recent observational data are performed. And finally, the Wheeler-De Witt (WDW) equation is discussed to demonstrate recovering the Hartle criterion due to the oscillating feature of the wave function of the universe.

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Scalar Field Cosmology: Classical and Quantum Viewpoints

Babaei,

Vakili

2024

Int J Theor Phys

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Closed-form solutions of the Wheeler–DeWitt equation in a scalar-vector field cosmological model by Lie symmetries

Cited by 6 publications

References 54 publications

Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions

Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions

Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether’s approach

Scalar Field Cosmology: Classical and Quantum Viewpoints

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