A comparison of remnants in noncommutative Bardeen black holes
arXiv:1604.06272 · doi:10.1007/s10509-016-2904-z
Abstract
We derive the mass term of the Bardeen metric in the presence of a noncommutative geometry induced minimal length. In this setup, the proposal of a stable black hole remnant as a candidate to store information is confirmed. We consider the possibility of having an extremal configuration with one degenerate event horizon and compare different sizes of black hole remnants. As a result, once the magnetic charge of the noncommutative Bardeen solution becomes larger, both the minimal nonzero mass and the minimal nonzero horizon radius get larger. This means, subsequently, under the condition of an adequate amount of , the three parameters , , and are in a connection with each other linearly. According to our results, a noncommutative Bardeen black hole is colder than the noncommutative Schwarzschild black hole and its remnant is bigger, so the minimum required energy for the formation of such a black hole at particle colliders will be larger. We also find a closely similar result for the Hayward solution.
15 pages, 4 figures, references added
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