# Exact cosmological solutions of f ( R ) theories via Hojman symmetry

@article{Wei2015ExactCS,
title={Exact cosmological solutions of f ( R ) theories via Hojman symmetry},
author={Hao Wei and Hong-Yu Li and Xiao-Bo Zou},
journal={Nuclear Physics},
year={2015},
volume={903},
pages={132-149}
}
• Published 2 November 2015
• Physics
• Nuclear Physics
12 Citations
• N. A. KỳPham Van Ky
• Physics, Geology
The European Physical Journal C
• 2018
Exact solutions of an f(R) -theory (of gravity) in a static central (gravitational) field have been studied in the literature quite well, but, to find and study exact solutions in the case of a
• Physics, Geology
The European Physical Journal C
• 2018
Exact solutions of an f(R) -theory (of gravity) in a static central (gravitational) field have been studied in the literature quite well, but, to find and study exact solutions in the case of a
• Physics
Universe
• 2018
In this work, we present some cosmologically relevant solutions using the spatially flat Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime in metric f ( R ) gravity where the form of the
• Physics
• 2020
In this paper, we find exact string cosmological solutions for FRW cosmology, by using Hojman symmetry approach. The string cosmology under consideration includes a scalar field $\psi(t)$ with the
• Mathematics
International Journal of Geometric Methods in Modern Physics
• 2022
In this paper, we use the Hojman symmetry approach to find new [Formula: see text]-dimensional [Formula: see text] gravity solutions, in comparison to Noether symmetry approach. In the special case
• Mathematics
International Journal of Geometric Methods in Modern Physics
• 2021
The geometric intrinsic approach to Hojman symmetry is developed and use is made of the theory of the Jacobi last multipliers to find the corresponding conserved quantity for non divergence-free
• Mathematics
Symmetry
• 2021
The general theory of the Jacobi last multipliers in geometric terms is reviewed and the theory is applied to different problems in integrability and the inverse problem for one-dimensional mechanical systems.
A geometric approach to integrability and reduction of dynamical system is developed from a modern perspective. The main ingredients in such analysis are the inﬁnitesimal symmetries and the tensor

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