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

Tajahmad, Behzad

doi:10.1140/epjc/s10052-017-4790-0

Cited by 16 publications

(16 citation statements)

References 55 publications

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“…It is worth mentioning that beside the Noether symmetry approach, another approach, the Beyond Noether Symmetry approach (B.N.S. approach), has recently been suggested [81]. The B.N.S.…”

Section: Discussionmentioning

confidence: 99%

Reconstruction of $F(T)$ gravity in homogeneous backgrounds

Tajahmad¹

2018

Preprint

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A technique for the reconstruction of the potential for a scalar field in cosmological models based on induced gravity has recently been developed by Alexander Y. Kamenshchik, Alessandro Tronconi, and Giovanni Venturi [73]. In this paper, this extended reconstruction method is utilized to investigate the nature of the scalar potentials of the most extended action of F (T ) -gravity context. First, a general formalism is formulated and then it is utilized for considering some well-known special cases including 'Barotropic Fluid', 'Cosmological Constant', and 'Modified Chaplygin Gas'. The analysis of the results is carried out by the use of the B-function method which has recently been suggested by the author [74]. As we know, assuming a proportional relation between the scale factor of the x-direction and the scale factors of y and z directions (i.e. A = B m ) in dealing with LRS Bianchi-I background is prevalent. Pursuant to observational data, the correct physical range of m is extracted. It is demonstrated that, unlike several papers, m is very close to 1. Some interesting discussions about the modified and generalized Chaplygin gases are performed. The ranges of the amounts of free parameters of the various types of Chaplygin gases are corrected according to observational data. It is demonstrated that the generalized Chaplygin gas model namely P = −σ 2 /ρ ν may be developed asUltimately, by combining ref.[73] and the current paper, a general prescription is recommended for the reconstruction of the potentials of alternative theories of gravity (especially F (R) and F (T ) ), and their relevant analysis.

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“…It is worth mentioning that beside the Noether symmetry approach, another approach, the Beyond Noether Symmetry approach (B.N.S. approach), has recently been suggested [81]. The B.N.S.…”

Section: Discussionmentioning

confidence: 99%

Reconstruction of $F(T)$ gravity in homogeneous backgrounds

Tajahmad¹

2018

Preprint

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“…In several papers such as refs. [68,[74][75][76][77], the action (19) was investigated 1 , the studies of which led to satisfactory results especially describing early inflation and late-time-accelerated expansion. The action (19) is the most generic action for single field inflation.…”

Section: The Model and Field Equationsmentioning

confidence: 99%

“…approach was proposed (See ref. [68]). In this paper, I suggest a new approach which may be more interesting for cosmologists: "Combination of Sub-symmetries through Special Selections" (CSSS-trick).…”

Section: Nother Symmetry Approach and Csss-trickmentioning

confidence: 99%

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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“…Cosmological models are investigated via several powerful tools: exact solutions, phase space [25,26], B-function method [27], Noether symmetry approach [28][29][30][31], Beyond Noether symmetry approach (B.N.S.) [32], Noether symmetry approach using CSSS-trick [33], Reconstruction methods [34][35][36][37][38], etc. Recently, a new strategy to the reconstruction of f (R)-gravity models using Raychaudhuri equation has been proposed by Choudhury et al [1].…”

Section: Introductionmentioning

confidence: 99%

Raychaudhuri-based reconstruction of anisotropic Einstein–Maxwell equation in 1+3 covariant formalism of f(R)-gravity

Tajahmad

2020

Eur. Phys. J. C

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Recently, a new strategy to the reconstruction of $$f(R)$$f(R)-gravity models based on the Raychaudhuri equation has been suggested by Choudhury et al. (MNRAS 485:5693, 2019). In this paper, utilizing this method, the reconstruction of anisotropic Einstein–Maxwell equation in the $$1+3$$1+3 covariant formalism of $$f(R)$$f(R)-gravity is investigated in four modes: (i) Reconstruction from a negative constant deceleration parameter refereeing to an ever-accelerating universe; (ii) Reconstruction from a constant jerk parameter $$j=1$$j=1 which recovers celebrated $$\varLambda \text {CDM}$$ΛCDM mode of evolution; (iii) Reconstruction from a variable jerk parameter $$j=Q(t)$$j=Q(t); and (iv) Reconstruction from a slowly varying jerk parameter. Furthermore, two suggestions for enhancing the method are proposed.

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

Cited by 16 publications

References 55 publications

Reconstruction of $F(T)$ gravity in homogeneous backgrounds

Reconstruction of $F(T)$ gravity in homogeneous backgrounds

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

Raychaudhuri-based reconstruction of anisotropic Einstein–Maxwell equation in 1+3 covariant formalism of f(R)-gravity

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