Self-Regular Black Holes Quantized by means of an Analogue to Hydrogen Atoms

Figure 1

The blue curve corresponds to the relation equation (6) that gives the relation between the mass and the horizon of the extreme self-regular Schwarzschild-AdS black hole, and the red curve corresponds to the usual relation associated with the ordinary Schwarzschild-AdS black hole. When the horizon radius grows up, the two curves gradually approach, which means that the effect of noncommutativity mainly exists in the near extremal horizon. Here we set , which satisfies the hoop conjecture; see the analysis under (9) for the details.