Noether symmetry in the Nash theory of gravity

Abstract This paper deals with the study of Bianchi type-I universe in the context of Nash gravity by using the Noether symmetry approach. We shortly revisit the Nash theory of gravity. We make a short recap of the Noether symmetry approach and consider the geometry for Bianchi-type I model. We obta...

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Bibliographic Details
Main Authors: Phongpichit Channuie, Davood Momeni, Mudhahir Al Ajmi
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-6061-0
Description
Summary:Abstract This paper deals with the study of Bianchi type-I universe in the context of Nash gravity by using the Noether symmetry approach. We shortly revisit the Nash theory of gravity. We make a short recap of the Noether symmetry approach and consider the geometry for Bianchi-type I model. We obtain the exact general solutions of the theory inherently exhibited by the Noether symmetry. We also examine the cosmological implications of the model by discussing the two cases of viable scenarios. Surprisingly, we find that the predictions are nicely compatible with those of the $$\Lambda $$ Λ CDM model.
ISSN:1434-6044
1434-6052