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}
}
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12 Citations
Background Citations
3

12 Citations

On the Hojman conservation quantities in Cosmology

Perturbative solutions of the f(R)-theory of gravity in a central gravitational field and some applications

  • N. A. KỳPham Van KyN. Van
  • 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…

Perturbative solutions of the f(R)-theory of gravity in a central gravitational field and some applications

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…

Cosmological Bounce and Some Other Solutions in Exponential Gravity

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…

FRW string cosmological solutions via Hojman symmetry

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…

(2 + 1)-dimensional f(R) gravity solutions via Hojman symmetry

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…

Generalized Noether theorem for Gauss–Bonnet cosmology

  • Han Dong
  • Mathematics
    Chinese Journal of Physics
  • 2019

Jacobi multipliers and Hojman symmetry

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…

Jacobi Multipliers in Integrability and the Inverse Problem of Mechanics

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.

Reduction and integrability: a geometric perspective

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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