Regular Article - Theoretical Physics
Noether symmetry approach in non-minimal derivative coupling gravity
Department of Physics, Faculty of Science, Prince of Songkla University, 90112, Hatyai, Thailand
2 Department of Innovative Technology for Renewable Energy, Faculty of Science and Technology, Suratthani Rajabhat University, 84100, Surat Thani, Thailand
3 School of Science, Walailak University, 80160, Nakhon Si Thammarat, Thailand
4 College of Graduate Studies, Walailak University, 80160, Nakhon Si Thammarat, Thailand
Accepted: 6 May 2022
Published online: 24 June 2022
In this work, we examine solutions of the system of equations obtained by applying the Noether gauge symmetry (NGS) and its conserved quantity for the standard general relativity (GR) and the non-minimal derivative coupling (NMDC) cosmological model. We discover two salient features of the solutions. The first one is for a kinetic-dominant phase which may emerge before inflationary period at very early time for GR case. The second one is a new form of scalar field govern by the exponential cosmological solution for NMDC case, .
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