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
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.
© The Author(s), 2018