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This work aims to investigate some possible emergence of relativistic compact stellar objects in modified $f(\mathcal{G})$ gravity using Noether symmetry approach. For this purpose, we assume static spherically symmetric spacetime in the…

General Relativity and Quantum Cosmology · Physics 2020-06-08 M. Farasat Shamir , Tayyaba Naz

The Noether Symmetry Approach can be used to construct spherically symmetric solutions in $f({\cal R})$ gravity. Specifically, the Noether conserved quantity is related to the gravitational mass and a gravitational radius that reduces to…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Mariafelicia De Laurentis

This paper is devoted to investigate $f(R)$ gravity using Noether symmetry approach. For this purpose, we consider Friedmann Robertson-Walker (FRW) universe and spherically symmetric spacetimes. The Noether symmetry generators are evaluated…

General Relativity and Quantum Cosmology · Physics 2012-08-03 M. Farasat Shamir , Adil Jhangeer , Akhlaq Ahmad Bhatti

We consider curvature-teleparallel $F(R,T)$ gravity, where the gravitational Lagrangian density is given by an arbitrary function of the Ricci scalar $R$ and the torsion scalar $T$. Using the Noether Symmetry Approach, we show that the…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Salvatore Capozziello , Mariafelicia De Laurentis , Ratbay Myrzakulov

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

The main objective of this article is to examine some physically viable solutions through the Noether symmetry technique in $f(R, T^{2})$ theory. For this purpose, we assume a generalized anisotropic and homogenous spacetime that yields…

General Relativity and Quantum Cosmology · Physics 2023-06-14 M. Sharif , M. Zeeshan Gul

We review the {\it Noether Symmetry Approach} as a geometric criterion to select theories of gravity. Specifically, we deal with Noether Symmetries to solve the field equations of given gravity theories. The method allows to find out exact…

General Relativity and Quantum Cosmology · Physics 2018-09-25 Konstantinos F. Dialektopoulos , Salvatore Capozziello

This paper determines the existence of Noether symmetry in non-minimally coupled $f(R,T)$ gravity admitting minimal coupling with scalar field models. We consider a generalized spacetime which corresponds to different anisotropic and…

General Relativity and Quantum Cosmology · Physics 2017-04-26 M. Sharif , Iqra Nawazish

We summarize the use of Noether symmetries in Minisuperspace Quantum Cosmology. In particular, we consider minisuperspace models, showing that the existence of conserved quantities gives selection rules that allow to recover classical…

General Relativity and Quantum Cosmology · Physics 2013-08-07 Salvatore Capozziello , Mariafelicia De Laurentis

We sketch the main features of the Noether Symmetry Approach, a method to reduce and solve dynamics of physical systems by selecting Noether symmetries, which correspond to conserved quantities. Specifically, we take into account the…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Francesco Bajardi , Salvatore Capozziello , Tiziana Di Salvo , Francesca Spinnato

This paper explores Noether and Noether gauge symmetries of anisotropic universe model in $f(R,T)$ gravity. We consider two particular models of this gravity and evaluate their symmetry generators as well as associated conserved quantities.…

General Physics · Physics 2017-05-24 M. Sharif , Iqra Nawazish

Spherical symmetry for f(R)-gravity is discussed by searching for Noether symmetries. The method consists in selecting conserved quantities in form of currents that reduce dynamics of f(R)-models compatible with symmetries. In this way we…

General Relativity and Quantum Cosmology · Physics 2015-06-04 S. Capozziello , N. Frusciante , D. Vernieri

In this paper, we present a complete Noether Symmetry analysis in the framework of scalar-tensor cosmology. Specifically, we consider a non-minimally coupled scalar field action embedded in the FLRW spacetime and provide a full set of…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-09 A. Paliathanasis , M. Tsamparlis , S. Basilakos , S. Capozziello

This paper explores exact cosmological solutions of anisotropic universe model through Noether symmetry technique in energy-momentum squared gravity. This theory resolves the primordial singularity and provides viable cosmological…

General Relativity and Quantum Cosmology · Physics 2023-05-24 M. Sharif , M. Zeeshan Gul

We use Noether symmetry approach to find spherically symmetric static solutions of the non-minimally coupled electromagnetic fields to gravity. We construct the point-like Lagrangian under the spherical symmetry assumption. Then we…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Özcan Sert , Fatma Çeliktaş

In the present investigation compact stellar models are dealt with in the framework of the modified gravity theory, specifically of $f(\mathbb{T},\mathcal{T})$ type. We have considered that the compact objects are following a spherically…

General Relativity and Quantum Cosmology · Physics 2021-06-29 Ines G. Salako , Chayan Ranjit , M. Khlopov , Saibal Ray , Utpal Mukhopadhyay

The aim of the present work is to investigate a non-minimally coupled scalar field model through the Noether symmetry approach, with the radiation, matter and cosmological constant eras being analyzed. The Noether symmetry condition allows…

General Relativity and Quantum Cosmology · Physics 2013-10-15 Rudinei C. de Souza , Gilberto M. Kremer

This paper is devoted to explore modified $f(\mathcal{R})$ theories of gravity using Noether symmetry approach. For this purpose, Friedmann-Robertson-Walker spacetime is chosen to investigate the cosmic evolution. The study is mainly…

General Relativity and Quantum Cosmology · Physics 2020-02-21 M. Farasat Shamir

This thesis investigates compact astrophysical objects within modified theories of gravity, focusing on neutron stars and strange stars. The work studies their internal structure, equilibrium, and stability in gravitational frameworks based…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Sneha Pradhan

General cosmological models with spinor and scalar fields playing the role of gravitational sources are analyzed. The Noether symmetry approach is taken as a criterion to constrain the undefined potentials and couplings of the generic…

General Relativity and Quantum Cosmology · Physics 2013-10-15 Gilberto M. Kremer , Rudinei C. de Souza
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