On the Hojman conservation quantities in FRW Cosmology
General Relativity and Quantum Cosmology
2016-03-15 v2
Abstract
In the present work we investigate the Hojman symmetry in FRW cosmology. In particular, we use the Hojman symmetry to find conserved quantities of particular cosmological models. Next, we study the Hojman symmetry in the scalar-tensor cosmology and find corresponding exact forms of integrals of motion. Finally, the formalism of the Hojman symmetry is extended to dynamical systems with the higher-order equations of motion.
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Cite
@article{arxiv.1603.01611,
title = {On the Hojman conservation quantities in FRW Cosmology},
author = {Aizhan Myrzakul and Ratbay Myrzakulov},
journal= {arXiv preprint arXiv:1603.01611},
year = {2016}
}
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24 pages