Non-BPS black holes in Script N = 4 supersymmetric Yang-Mills theory coupled to gravity

We construct non-BPS regular and black hole solutions of N=4 SU(N)supersymmetric Yang-Mills theory coupled to Einstein gravity. Our numericalstudies reveal a number of interesting phenomena when the gravitationalconstant $\alpha=M_{YM}/gM_{Planck}$ (where $M_{Planck}$ is the Planck mass and$M_{YM}$ is the monopole mass) is either weak (flat limit) or comparable to theYang-Mills interaction. In fact, black hole solutions exist in a certainbounded domain in the $(\alpha, r_H)$ plane where $r_H$ denotes the radius ofthe blackComment: 18 pages, 7 figures, expaned the discussio