Abstract
In this paper we have recalled the semiclassical metric obtained from a classical analysis of the loop quantum black hole (LQBH). We show that the regular Reissner–Nordström-like metric is self-dual in the sense of -duality: the form of the metric obtained in loop quantum gravity is invariant under the exchange where is proportional to the minimum area in loop quantum gravity and is the standard Schwarzschild radial coordinate at asymptotic infinity. Of particular interest, the symmetry imposes that if an observer in sees a black hole of mass an observer in the other asymptotic infinity beyond the horizon (at ) sees a dual mass . We then show that small LQBH are stable and could be a component of dark matter. Ultralight LQBHs created shortly after the big bang would now have a mass of approximately and emit radiation with a typical energy of about but they would also emit cosmic rays of much higher energies, albeit few of them. If these small LQBHs form a majority of the dark matter of the Milky Way’s Halo, the production rate of ultra-high-energy-cosmic-rays (UHECR) by these ultralight black holes would be compatible with the observed rate of the Auger detector.
14 More- Received 3 June 2009
DOI:https://doi.org/10.1103/PhysRevD.80.064041
©2009 American Physical Society