On the Hojman conservation quantities in FRW Cosmology

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 moti...

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Bibliographic Details
Published in:arXiv.org 2016-03
Main Authors: Myrzakul, Aizhan, Myrzakulov, Ratbay
Format: Article
Language:English
Subjects:
Astronomical models
Cosmology
Equations of motion
Symmetry
Tensors
Online Access:Get full text
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Summary: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.
ISSN:2331-8422