Approximate Noether gauge symmetries of the Bardeen model

Camcı, Uğur

doi:10.1140/epjc/s10052-014-3201-z

Cited by 24 publications

(18 citation statements)

References 22 publications

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“…In fact, one may simply equate to zero the coefficients of terms likeψ 2 ,χ 2 ,ψχ, and so on in order to find some differential equations for the lift vector's components. This is a common procedure in the relevant literature of the Noether symmetry approach; for example see [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Applying this procedure to the Lagrangian (24), we find the following differential equations:…”

Section: Noether Symmetry Approachmentioning

confidence: 99%

“…In fact, as every conservation theorem, the Noether conservation theorem allows one to reduce dynamics of the cosmological model and gives insight into conserved quantities. This approach has been extensively used in various cosmological models and modified theories of gravity; for example see [22][23][24][25][26][27][28][29][30][31][32][33][34]. More specifically, in [23] the Noether symmetry approach is used in non-minimal scalar-tensor theories and in higher order theories of gravity.…”

Section: Introductionmentioning

confidence: 99%

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Exact cosmological solutions for MOG

Roshan

2015

Eur. Phys. J. C

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We find some new exact cosmological solutions for the covariant scalar-tensor-vector gravity theory, the socalled modified gravity (MOG). The exact solution of the vacuum field equations has been derived. Also, for non-vacuum cases we have found some exact solutions with the aid of the Noether symmetry approach. More specifically, the symmetry vector and also the Noether conserved quantity associated to the point-like Lagrangian of the theory have been found. Also we find the exact form of the generic vector field potential of this theory by considering the behavior of the relevant point-like Lagrangian under the infinitesimal generator of the Noether symmetry. Finally, we discuss the cosmological implications of the solutions.

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Section: Noether Symmetry Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact cosmological solutions for MOG

Roshan

2015

Eur. Phys. J. C

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“…The exact solutions in f (R) gravity were also explored using Noether symmetries methods for FRW spacetime [42]. Similarly many authors have used Noether symmetries to investigate the cosmology in different contexts [43][44][45][46][47][48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Noether symmetry approach in $$f(\mathcal {G},T)$$ f ( G , T ) gravity

2017

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We explore the recently introduced modified Gauss-Bonnet gravity (Sharif and Ikram in Eur Phys J C 76:640, 2016), f (G, T ) pragmatic with G, the Gauss-Bonnet term, and T , the trace of the energy-momentum tensor. Noether symmetry approach has been used to develop some cosmologically viable f (G, T ) gravity models. The Noether equations of modified gravity are reported for flat FRW universe. Two specific models have been studied to determine the conserved quantities and exact solutions. In particular, the well known deSitter solution is reconstructed for some specific choice of f (G, T ) gravity model.

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“…Using the Eqs. (27)(28)(29)(30)(31)(32), a trivial solution is obtained α = 0, β = 0, γ = 0, and δ = 0. Additionally, the conservation equation (33) is also satisfied in this case.…”

Section: Noether Symmetries and F (G T ) Gravitymentioning

confidence: 96%

Some exact solutions in f(𝒢,T) gravity via Noether symmetries

Shamir

Ahmad

2017

Mod. Phys. Lett. A

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This paper is devoted to investigate the recently proposed modified Gauss-Bonnet f (G, T ) gravity, with G, the Gauss-Bonnet term, coupled with T , the trace of energy-momentum tensor. We have used the Noether symmetry methodology to discuss some cosmologically important f (G, T ) gravity models with anisotropic background. In particular, the Noether symmetry equations for modified f (G, T ) gravity are reported for locally rotationally symmetric Bianchi type I universe. Explicitly, two models have been proposed to explore the exact solutions and the conserved quantities. It is concluded that the specific models of modified Gauss-Bonnet gravity may be used to reconstruct ΛCDM cosmology without involving any cosmological constant.

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Approximate Noether gauge symmetries of the Bardeen model

Cited by 24 publications

References 22 publications

Exact cosmological solutions for MOG

Exact cosmological solutions for MOG

Noether symmetry approach in $$f(\mathcal {G},T)$$ f ( G , T ) gravity

Some exact solutions in f(𝒢,T) gravity via Noether symmetries

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