Coupling Parameters and the Form of the Potential via Noether Symmetry
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In this paper, conditions for the existence of Noether symmetries in the dynamics of FRW metric, non minimally coupled with a scalar field, in the most general situation, and with nonzero spatial curvature were explored.Abstract:
We explore the conditions for the existence of Noether symmetries in the dynamics of FRW metric, non minimally coupled with a scalar field, in the most general situation, and with nonzero spatial curvature. When such symmetries are present we find a general exact solution for the Einstein equations. We also show that non Noether symmetries can be found. Finally, we present an extension of the procedure to the Kantowski-Sachs metric which is particularly interesting in the case of degenerate Lagrangian.read more
Citations
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Spherically symmetric solutions in f(R) gravity via the Noether symmetry approach
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Noether Symmetry in $f(T)$ Theory
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LRS Bianchi type I universes exhibiting Noether symmetry in the scalar-tensor Brans-Dicke theory
TL;DR: In this paper, the Brans-Dicke field is specialized in such a way that the Lagrangian becomes degenerate (nontrivial) and the equations for Noether symmetry and the potential that allows it are solved.
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Noether gauge symmetry for $f(R)$ gravity in Palatini formalism
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TL;DR: In this paper, the authors considered a flat Friedmann-Robertson-Walker (FRW) universe in the context of Palatini $f(R)$ theory of gravity and constructed a point Lagrangian in the flat FRW spacetime.
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Noether gauge symmetry for f( R) gravity in Palatini formalism
Yusuf Kucukakca,Ugur Camci +1 more
TL;DR: In this article, the authors considered a flat Friedmann-Robertson-Walker (FRW) universe in the context of Palatini f(R) theory of gravity and constructed a point Lagrangian in the flat FRW spacetime.
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