Self-dual black holes in loop quantum gravity: Theory and phenomenology

Leonardo Modesto and Isabeau Prémont-Schwarz
Phys. Rev. D 80, 064041 – Published 29 September 2009

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 T-duality: the form of the metric obtained in loop quantum gravity is invariant under the exchange ra0/r where a0 is proportional to the minimum area in loop quantum gravity and r is the standard Schwarzschild radial coordinate at asymptotic infinity. Of particular interest, the symmetry imposes that if an observer in r+ sees a black hole of mass m an observer in the other asymptotic infinity beyond the horizon (at r0) sees a dual mass mP/m. 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 105mP and emit radiation with a typical energy of about 10131014eV 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.

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  • Received 3 June 2009

DOI:https://doi.org/10.1103/PhysRevD.80.064041

©2009 American Physical Society

Authors & Affiliations

Leonardo Modesto and Isabeau Prémont-Schwarz

  • Perimeter Institute for Theoretical Physics, 31 Caroline St. N., Waterloo, Ontario N2L 2Y5, Canada

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Issue

Vol. 80, Iss. 6 — 15 September 2009

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