https://doi.org/10.1140/epjc/s10052-020-8237-7
Regular Article - Theoretical Physics
Noether symmetry approach to the non-minimally coupled 
gravity
1
Department of Physics, Faculty of Arts and Sciences, Pamukkale University, 20070, Denizli, Turkey
2
Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, 20070, Denizli, Turkey
* e-mail: osert@pau.edu.tr
Received:
14
April
2020
Accepted:
12
July
2020
Published online:
22
July
2020
We use Noether symmetry approach to find spherically symmetric static solutions of the non-minimally coupled electromagnetic fields to gravity. We construct the point-like Lagrangian under the spherical symmetry assumption. Then we determine Noether symmetry and the corresponding conserved charge. We derive Euler-Lagrange equations from this point-like Lagrangian and show that these equations are same with the differential equations derived from the field equations of the model. Also we give two new exact asymptotically flat solutions to these equations and investigate some thermodynamic properties of these black holes.
© The Author(s), 2020
