Black hole with confining electric potential in scalar-tensor description of regularized 4-dimensional Einstein-Gauss-Bonnet gravity

Abstract

In this paper, we analytically present an exact confining charged black hole solution to the 4-dimensional (4D) novel Einstein Gauss-Bonnet (EGB) gravity coupled to non-linear gauge theory containing √ −F 2 term. Part of the importance of using a non-trivial 4D theory of Gauss-Bonnet gravity is that it is proven the absence of the Ostrogradsky instability was formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. 124, 081301 (2020) [57]] as well as this theory gains many attention because of its important finding for black hole physics. We therefore also study some properties of this solution such as temperature, specific heat,shadow and quasinormal modes. Our results here show that a confining charge f gives a significant contribution to the shadow of the black hole as well as quasinormal modes frequencies.