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In literature usual point like symmetries of the Lagrangian have been introduced to study the symmetries and the structure of the fields. This kind of Noether symmetry is a subclass of a more general family of symmetries, called Noether…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-08 Adnan Aslam , Mubasher Jamil , Davood Momeni , Ratbay Myrzakulov , Muneer Ahmad Rashid , Muhammad Raza

To realize the accelerations in the early and late periods of our universe, we need to specify potentials for the dominant fields. In this paper, by using the Noether symmetry approach, we try to find suitable potentials in the "cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Yi Zhang , Yun-gui Gong , Zong-Hong Zhu

In this paper, we investigate the Noether symmetries of $F(T)$ cosmology involving matter and dark energy. In this model, the dark energy is represented by a canonical scalar field with a potential. Two special cases for dark energy are…

General Physics · Physics 2012-10-02 Mubasher Jamil , D. Momeni , R. Myrzakulov

The present work deals with a quintom model of dark energy in the framework of a spatially flat isotropic and homogeneous Friedmann-Lemaitre-Robertson-Walker (FLRW) universe. At first, Lie point symmetry is imposed to the system and the…

General Relativity and Quantum Cosmology · Physics 2016-09-27 Sourav Dutta , Muthusamy Lakshmanan , Subenoy Chakraborty

We discuss the f(R) gravity model in which the origin of dark energy is identified as a modification of gravity. The Noether symmetry with gauge term is investigated for the f(R) cosmological model. By utilization of the Noether Gauge…

General Physics · Physics 2012-01-16 Ibrar Hussain , Mubasher Jamil , F. M. Mahomed

We propose to use a model-independent criterion based on first integrals of motion, due to Noether symmetries of the equations of motion, in order to classify the dark energy models in the context of scalar field (quintessence or phantom)…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-19 S. Basilakos , M. Tsamparlis , A. Paliathanasis

We review the paradigm of quintom cosmology. This scenario is motivated by the observational indications that the equation of state of dark energy across the cosmological constant boundary is mildly favored, although the data are still far…

High Energy Physics - Theory · Physics 2014-11-20 Yi-Fu Cai , Emmanuel N. Saridakis , Mohammad R. Setare , Jun-Qing Xia

This article examines the analytic solutions of isotropic spacetime with the minimal coupling of scalar field and matter in the context of energy-momentum squared gravity. The scalar field includes quintessence and phantom dark energy…

General Relativity and Quantum Cosmology · Physics 2023-06-21 M. Sharif , M. Zeeshan Gul

Quantum cosmology with quintom dark energy model has been investigated in the present work using symmetry analysis of the underlying physical system. In the background of the flat FLRW model quintom cosmological model has been studied using…

General Physics · Physics 2021-04-23 Sourav Dutta , Muthusamy Lakshmanan , Subenoy Chakraborty

This paper studies the cosmological equations for a scalar field Phi in the framework of a quantum gravity modified Einstein--Hilbert Lagrangian where G and Lambda are dynamical variables. It is possible to show that there exists a Noether…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alfio Bonanno , Giampiero Esposito , Claudio Rubano , Paolo Scudellaro

In this work we have studied a cosmological model based on a quintom dark energy model non-minimally coupled with gravity, endowed with a specfic potential energy of the exponential squared type. For this specific type of potential energy…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Mihai Marciu

In this Letter, we find suitable potentials in the multiple scalar fields scenario by using the Noether symmetry approach. We discussed three models with multiple scalar fields: N-quintessence with positive kinetic terms, N-phantom with…

High Energy Physics - Phenomenology · Physics 2010-05-07 Yi Zhang , Yun-gui Gong , Zong-Hong Zhu

In this paper, based on the works of Capozziello et al., we have studied the Noether symmetry approach in the cosmological model with scalar and gauge fields proposed recently by Soda et al. The correct Noether symmetries and related Lie…

General Relativity and Quantum Cosmology · Physics 2015-04-21 Sun Zhang

We study the evolution of a two dimensional minisuperspace cosmological model in classical and quantum levels by the Noether symmetry approach. The phase space variables turn out to correspond to the scale factor of a…

General Relativity and Quantum Cosmology · Physics 2012-01-23 Babak Vakili , Farhad Khazaie

We study a cosmological model in the framework of teleparallel gravity, where a vector field $A_\mu$ is non-minimally coupled to the torsion scalar $T$ in a flat Friedmann-Robertson-Walker (FRW) universe. Using the Noether symmetry…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Yusuf Kucukakca , Fereshteh Omidvar , Amin Rezaei Akbarieh

We employ a three fluid model in order to construct a cosmological model in the Friedmann Robertson Walker flat spacetime, which contains three types of matter dark energy, dark matter and a perfect fluid with a linear equation of state.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Michael Tsamparlis , Andronikos Paliathanasis

The main aim of this paper is to present the multi scalar field components as candidates to be the dark energy of the universe and their observational constraints. We start with the canonical Quintessence and Phantom fields with quadratic…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-12 J. Alberto Vázquez , David Tamayo , Gabriela Garcia-Arroyo , Isidro Gómez-Vargas , Israel Quiros , Anjan A. Sen

In the framework of scalar-tensor gravity, we consider non-flat interacting quintessence cosmology where a scalar field is interacting with dark matter. Such a scalar field can be a standard or a phantom one. We use the Noether Symmetry…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Ester Piedipalumbo , Stefano Vignolo , Pasquale Feola , Salvatore Capozziello

The Noether symmetry analysis is applied in a multi-scalar field cosmological model in teleparallel gravity. In particular, we consider two scalar fields with interaction in scalar-torsion theory. The field equations have a minisuperspace…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Konstantinos F. Dialektopoulos , Genly Leon , Andronikos Paliathanasis

We review the gauged quintessence scenario, wherein the quintessence scalar field responsible for dark energy is promoted to a complex field charged under a dark $U(1)$ gauge symmetry. This construction leads to new and potentially rich…

High Energy Physics - Phenomenology · Physics 2025-08-08 Kunio Kaneta , Hye-Sung Lee , Jiheon Lee , Jaeok Yi
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