Eur. Phys. J. C (2018) 78: 588
https://doi.org/10.1140/epjc/s10052-018-6061-0

Regular Article - Theoretical Physics

Noether symmetry in the Nash theory of gravity

¹ School of Science, Walailak University, Thasala, Nakhon Si Thammarat, 80160, Thailand
² Department of Physics, College of Science, Sultan Qaboos University, P.O. Box 36, 123, Muscat, Sultanate of Oman

^* e-mail: channuie@gmail.com

Received: 13 March 2018
Accepted: 11 July 2018
Published online: 20 July 2018

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 CDM model.