Variable G and $$\Lambda $$ gravity theory and analytical cosmological solutions using Noether symmetry approach

In the framework of [Formula: see text]-gravity theory, classical and quantum cosmology has been studied in this work for Friedmann Lemaitre Robertson Walker Metric (FLRW) space-time model. The Noether symmetry, a point-like symmetry of the Lagrangian, is used to the physical system and a specific functional form of [Formula: see text] is determined. A point transformation in the 2D augmented space restricts one of the variables to be cyclic so that the Lagrangian as well as the field equations are simplified so that they are solvable. Lastly, for quantum cosmology, the WD equation is constructed and a possible solution has been evaluated.

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Noether symmetry approach in pure gravity with variable G and Λ

Classical and Quantum Gravity ◽

10.1088/0264-9381/24/6/005 ◽

2007 ◽

Vol 24 (6) ◽

pp. 1443-1455 ◽

Cited By ~ 18

Author(s):

Alfio Bonanno ◽

Giampiero Esposito ◽

Claudio Rubano ◽

Paolo Scudellaro

Keyword(s):

Noether Symmetry ◽

Variable G And Λ ◽

Symmetry Approach ◽

Pure Gravity ◽

Variable G

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Teleparallel gravity with non-minimally coupled f-essence via Noether symmetry approach

Journal of Physics Conference Series ◽

10.1088/1742-6596/1730/1/012022 ◽

2021 ◽

Vol 1730 (1) ◽

pp. 012022

Author(s):

Kairat Myrzakulov ◽

Duman Kenzhalin ◽

Nurgissa Myrzakulov

Keyword(s):

Teleparallel Gravity ◽

Noether Symmetry ◽

Symmetry Approach

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The (2+1) dimensional metric f (R) gravity non-minimally coupled with fermion field

Journal of Physics Conference Series ◽

10.1088/1742-6596/2090/1/012065 ◽

2021 ◽

Vol 2090 (1) ◽

pp. 012065

Author(s):

Nurgissa Myrzakulov ◽

Gulnur Tursumbayeva ◽

Shamshyrak Myrzakulova

Keyword(s):

Gravitational Theory ◽

Noether Symmetry ◽

Fermion Field ◽

Field Equations ◽

Friedmann Equations ◽

Fermion Fields ◽

Cosmological Solutions

Abstract In this article, we examine a gravitational theory including a fermion field that is non-minimally coupled to metric f (R) gravity in (2+1) dimensions. We give the field equations for fermion fields and Friedmann equations. In this context, we study cosmological solutions of the field equations using these forms obtained by the existent of Noether symmetry.

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Brans–Dicke type teleparallel scalar–tensor theory

Modern Physics Letters A ◽

10.1142/s0217732317501838 ◽

2017 ◽

Vol 32 (34) ◽

pp. 1750183 ◽

Cited By ~ 5

Author(s):

Mustafa Salti ◽

Oktay Aydogdu ◽

Hilmi Yanar ◽

Figen Binbay

Keyword(s):

General Relativity ◽

Dark Energy ◽

Scalar Field ◽

Noether Symmetry ◽

Scalar Tensor Theory ◽

Minimal Coupling ◽

Energy Effect ◽

New Model ◽

Symmetry Approach ◽

Tensor Theory

The teleparallel alternative of general relativity which is based on torsion instead of curvature is considered as the gravitational sector to explore the dark universe. Inspired from the well-known Brans–Dicke gravity, here, we introduce a new proposal for the galactic dark energy effect. The new model includes a scalar field with self-interacting potential and a non-minimal coupling between the gravity and scalar field. Additionally, we analyze the idea via the Noether symmetry approach and thermodynamics.

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