Black hole spectroscopy from loop quantum gravity models

Abstract

Using Monte Carlo simulations, we compute the integrated emission spectra of black holes in the framework of Loop Quantum Gravity (LQG). The black hole emission rates are governed by the entropy whose value, in recent holographic loop quantum gravity models, was shown to agree at leading order with the Bekenstein-Hawking entropy. Quantum corrections depend on the Barbero-Immirzi parameter γ. Starting with black holes of initial horizon area A ∼ 10 2 in Planck units, we present the spectra for different values of γ. Each spectrum clearly decomposes in two distinct parts: a continuous background which corresponds to the semi-classical stages of the evaporation and a series of discrete peaks which constitutes a signature of the deep quantum structure of the black hole. We show that γ has an effect on both parts that we analyze in details. Finally, we estimate the number of black holes and the instrumental resolution required to experimentally distinguish between the considered models.

A Status Report on the Phenomenology of Black Holes in Loop Quantum Gravity: Evaporation, Tunneling to White Holes, Dark Matter and Gravitational Waves

“…This possibility is however extremely unlikely, and we will not discuss it further, as a damping in the pseudo-periodicity is expected to take place [37][38][39]. This analysis was pushed further in [40] where recent results are accounted for. The fundamental excitations are now better understood as living on the horizon and as being elements of the Hilbert space of a SU(2) Chern-Simons theory [41,41,42].…”

“…Two models of black holes were studied by a full MC simulation in [40]. The first is based on the naive microcanonical view.…”

“…3. This shows that the Hawking spectrum of a LQG BH has two distinct parts: a nearly continuous background corresponding to the semi-classical stages of the evaporation and a series of discrete peaks associated with the Figure 3: γ dependence of the integrated spectrum, as function of the energy of the emitted particle, in the holographic model, with a detector energy resolution of 5%, from [40].…”

Quantum fields in the background spacetime of a polymeric loop black hole

“…It already shows that different quantum corrections -still in the LQG framework -will lead to different effects on the behavior of cross section. This is both useful for accurate calculations of the Hawking spectrum (to refine, e.g., what was done in [65]) and as a probe, in itself, on the intricate spacetime structure. ACKNOWLEDGMENTS K.M is supported by a grant from the CFM foundation.…”

Holographic bound in covariant loop quantum gravity

“…Although we have assumed that ρ is a dependent function of j, the validity should be checked by other method. For example, to reveal the property of ρ in the covariant area spectrum and the puncture statistics, it is important to investigate the Hawking radiation as in [40] which is one of our future work. It is also interesting to discuss possibility of the phase transition using covariant area spectrum as in [41].…”