Gauss-bonnet scalarization of charged qOS-black holes

초록

The Gauss-Bonnet (GB) scalarization for charged quantum Oppenheimer-Snyder (cqOS)-black holes is investigated in the Einstein-Gauss-Bonnet-Scalar theory with the nonlinear electrodynamics (NED) term. Here, the scalar coupling function to GB term is given by f (phi) = 2 lambda phi(2) with a coupling constant lambda. Three parameters of mass (M), action parameter (alpha), and magnetic charge (P) are necessary to describe the cqOS-black hole, and it may become the qOS-black hole when P = M. The GB scalarization of cqOS-black holes comes into two cases GB(+/-), depending on the sign of GB term which triggers the different phenomena. For alpha = 0 and lambda> 0, GB(+) scalarization is allowed, while for alpha = 0 and lambda< 0, GB(-) scalarization appears for a narrow band of 3.5653 <= alpha <= 4.6875. After discussing the onset GB(-) scalarization, we construct scalarized cqOSblack holes which belong to the single branch. The scalar field decays much more rapidly compared to the GB(+) case. Stability analysis shows these scalarized black holes are linearly stable under scalar perturbations.

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