New static cylindrical symmetric solutions in GR for unfamiliar EoS parameter values via Noether symmetry

Öz, Işıl Başaran; Bamba, Kazuharu

doi:10.48550/arxiv.2109.08938

Cited by 3 publications

(3 citation statements)

References 45 publications

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“…Moreover, the exact solutions for potential functions, scalar field and the scale factors in the Bianchi models have been investigated in Refs. [56][57][58] and the solutions of the field equations of f (R) gravity are investigated in static cylindrically symmetric space-time using the Noether symmetry technique [59].…”

Section: Introductionmentioning

confidence: 99%

Noether symmetry approach in non-minimal derivative coupling gravity

et al. 2022

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In this work, we examine solutions of the system of equations obtained by applying the Noether gauge symmetry (NGS) and its conserved quantity for the standard general relativity (GR) and the non-minimal derivative coupling (NMDC) cosmological model. We discover two salient features of the solutions. The first one is $$a(t)\propto t^{1/3}$$ a ( t ) ∝ t 1 / 3 for a kinetic-dominant phase which may emerge before inflationary period at very early time for GR case. The second one is a new form of scalar field $$\phi (t)$$ ϕ ( t ) govern by the exponential cosmological solution for NMDC case, $$\phi (t)=(c_{1}+c_{2}t)e^{-\lambda t}+c_{3}$$ ϕ ( t ) = ( c 1 + c 2 t ) e - λ t + c 3 .

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Section: Introductionmentioning

confidence: 99%

Noether symmetry approach in non-minimal derivative coupling gravity

et al. 2022

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“…Some black hole solutions investigated under f (R) theory using Noether symmetry are also available in the literature [48,49]. In our previous work, analytical solutions were obtained for some unfamiliar EoS parameters in the GR case for cylindrically symmetric spacetime [13]. In this work, we wanted to investigate the Noether symmetric general solutions for f(R) gravity with a cylindrical and plane symmetrical background.…”

Section: Introductionmentioning

confidence: 99%

Cylindrically symmetric and plane-symmetric solutions in f(R) theory via Noether symmetries

Öz

Bamba

2022

Eur. Phys. J. C

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The f(R) theory is considered for static cylindrically symmetric and plane-symmetric spacetimes. In order to find solutions to the field equations of these models, the Noether symmetry method is used. First, we examine the GR case for cylindrically symmetrical space-time with the $$w=-1$$ w = - 1 dark energy state. Then, with the assumption of $$f(R) = f_0R^n$$ f ( R ) = f 0 R n , cases with matter and non-matter are examined and general solutions are determined for both space-times. Thus, it is shown that inclusive new solutions are obtained, considering the Noether symmetric conditions. In addition, the GR limit for each cases are examined.

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“…Moreover, the exact solutions for potential functions, scalar field and the scale factors in the Bianchi models have been investigated in Refs. [55][56][57] and the solutions of the field equations of f (R) gravity are investigated in static cylindrically symmetric space-time using the Noether symmetry technique [58].…”

Section: Introductionmentioning

confidence: 99%

Noether symmetry approach in non-minimal derivative coupling gravity

Dolohtahe,

Srikom,

Channuie

et al. 2021

Preprint

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In this work, we examine solutions of the system of equations obtained by applying the Noether gauge symmetry (NGS) and its conserved quantity for the standard general relativity (GR) and the non-minimal derivative coupling (NMDC) cosmological model. We discover two salient features of the solutions. The first one is a(t) ∝ t 1/3 for a kineticdominant phase which may emerge before inflationary period at very early time. The second one is a new form of scalar field φ(t) govern by the exponential cosmological solution for GR and NMDC φ GR (t) = c 1 + c 2 t + c 3 e −λt and φ NMDC (t) = c 1 + c 2 e −λ 1 t + c 3 e −λ 2 t , respectively.

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New static cylindrical symmetric solutions in GR for unfamiliar EoS parameter values via Noether symmetry

Cited by 3 publications

References 45 publications

Noether symmetry approach in non-minimal derivative coupling gravity

Noether symmetry approach in non-minimal derivative coupling gravity

Cylindrically symmetric and plane-symmetric solutions in f(R) theory via Noether symmetries

Noether symmetry approach in non-minimal derivative coupling gravity

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