Charged black holes in Einsteinian quartic gravity

In this paper, we studied Einsteinian quartic gravity minimally coupled to electrodynamics in four dimensions. First, by varying the action, we obtain the field equations, and by integration, we obtain a nonlinear third-order differential equation for the metric function and as well as the electromagnetic potential. Then, in the context of the Maxwell field, we discussed the con-ditions under which the charged black hole exists. Then, we have demonstrated the thermodynamics and stability of the solution for the case of positive coupling of quartic theory. Finally, we showed that the charged black hole solutions of EQG (unlike GR and like ECG) have no inner horizon and do not conform to the extremal bound of GR. Also, the uniqueness of BH solutions in this theory does not work anymore.(c) 2022 Elsevier Inc. All rights reserved.

Automated summary

In this paper, the Einsteinian quartic gravity minimally coupled to electrodynamics in four dimensions is studied. The field equations and a nonlinear third-order differential equation for the metric and electromagnetic potential are obtained. The conditions for the existence of charged black holes in the context of the Maxwell field are discussed. The thermodynamics and stability of the solutions are demonstrated, and it is shown that the charged black hole solutions in EQG differ from those in GR.