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Lie and Noether symmetry analysis in Brans-Dicke cosmology
S DUTTA, S MONDAL
Published in World Scientific Publishing Co. Pte Ltd
2018
Volume: 33
   
Issue: 34
Abstract
This paper is aimed to study the group invariant solutions of the evolution equations in Brans-Dicke cosmology. In this context, we have considered the flat homogeneous Brans-Dicke (BD) scalar field in the background of flat homogeneous and isotropic Friedmann-Lemaître-Robertson-Walker (FLRW) cosmological model and have used Lie and Noether symmetry on the augmented system. From Lie symmetry we have determined the unknown potential for two different values of the equation of state parameter w. Then assuming that the Lagrangian admits a Noether symmetry, an analytic solution of the system is obtained in both old and new coordinate systems. © 2018 World Scientific Publishing Company.
About the journal
JournalModern Physics Letters A
PublisherWorld Scientific Publishing Co. Pte Ltd
ISSN0217-7323