Black hole radiation spectrum in loop quantum gravity: isolated horizon framework

Diaz-Polo, Jacobo; Fernández-Borja, Enrique

doi:10.1088/0264-9381/25/10/105007

Cited by 10 publications

(31 citation statements)

References 26 publications

(51 reference statements)

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“…This observation, together with the basic conceptual ideas contained in the pioneering works [2,3,4,5,7,8,10,16,22,24,25,26,27,35,41,44,45,48,52,53,63,64,65,66,68,71,72,74,75,78,80,90,102,106,107], motivated the more recent derivation, performed in [55,56,98], of the horizon theory preserving the full SU (2) boundary symmetry. However, the SU (2) formulation is not unique as there is a one-parameter family of classically equivalent SU (2) connections parametrizations of the horizon degrees of freedom.…”

Section: Entropy Computationmentioning

confidence: 80%

“…In [44,45], an exact detailed counting was performed for the first time, showing the discretization of entropy as a function of area for microscopic black holes. Several works followed [4,5,52,106,107], analyzing these effect from several points of view. A more elegant and technically advanced exact solution, involving analytical methods, number theory, and generating functions was developed in [2,3,25,26], providing the arena for the extension of the exact computation to the large area regime, studied in [27].…”

Section: Introductionmentioning

confidence: 99%

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Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

Diaz-Polo¹

2012

SIGMA

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Abstract. We review the black hole entropy calculation in the framework of Loop Quantum Gravity based on the quasi-local definition of a black hole encoded in the isolated horizon formalism. We show, by means of the covariant phase space framework, the appearance in the conserved symplectic structure of a boundary term corresponding to a Chern-Simons theory on the horizon and present its quantization both in the U (1) gauge fixed version and in the fully SU (2) invariant one. We then describe the boundary degrees of freedom counting techniques developed for an infinite value of the Chern-Simons level case and, less rigorously, for the case of a finite value. This allows us to perform a comparison between the U (1) and SU (2) approaches and provide a state of the art analysis of their common features and different implications for the entropy calculations. In particular, we comment on different points of view regarding the nature of the horizon degrees of freedom and the role played by the Barbero-Immirzi parameter. We conclude by presenting some of the most recent results concerning possible observational tests for theory.

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Section: Entropy Computationmentioning

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

Diaz-Polo¹

2012

SIGMA

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“…One might at first think that this is not an accident. After all, the 'ladder' observed in [18,19] may perhaps be understood as a perturbation of the half integer steps in the present model, much as the full spectrum (1) can be viewed as a perturbation (3) around the equidistant one. We will investigate this point in much more detail in a forthcoming paper [20].…”

Section: Discussionmentioning

confidence: 94%

“…Although the basics are by now quite well understood, there still are surprises in store. One example are the structures that were found in a computer analysis of the spectrum of states [18,19].…”

Section: Introductionmentioning

confidence: 99%

Entropy calculation for a toy black hole

Sahlmann¹

2008

Class. Quantum Grav.

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“…However, following the pioneering work of Rovelli [8], it was soon realized that the situation is drastically different in LQG where the spacing of the energy levels decreases exponentially with the energy, therefore closing any hope for detection [9]. In (the first paper of) [5] a possible observational effect was suggested based on an exact computation of entropy and the observation of an effective discretization of it. In this letter we readdress this issue and show that at least three different signatures can in fact be expected.…”

mentioning

confidence: 99%

Probing Loop Quantum Gravity with Evaporating Black Holes

et al. 2011

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This letter aims at showing that the observation of evaporating black holes should allow the usual Hawking behavior to be distinguished from Loop Quantum Gravity (LQG) expectations. We present a full Monte Carlo simulation of the evaporation in LQG and statistical tests that discriminate between competing models. We conclude that contrarily to what was commonly thought, the discreteness of the area in LQG leads to characteristic features that qualify evaporating black holes as objects that could reveal quantum gravity footprints. Introduction-Loop Quantum Gravity (LQG) is a promising framework to nonperturbatively quantize General Relativity (GR) in a background invariant way (see [1] for introductory reviews). Interestingly, it has now been demonstrated that different approaches, based either on quantizations (covariant or canonical) of GR, or on a formal quantization of geometry lead to the very same LQG theory. As for any tentative theory of quantum gravity, experimental tests are however still missing. Trying to find possible observational signatures is obviously a key challenge. In this article we address the following question : could there be objects in the contemporary universe whose observation would lead to a clear signature of LQG ? Fortunately, the answer turns out to be positive. Although small black holes have not yet been directly observed, they could have been formed by different mechanisms in the early universe (see, e.g., [2] for a recent review) or even by particle collisions. We don't review here the well-known possible production mechanisms, but instead we focus on how to use the evaporation of microscopic black holes to investigate the discriminating power of the emitted spectrum. Three different possible signatures will be suggested. Although one should be careful when pushing the limits of the LQG approach to black holes to the microscopic limit, our results rely on features of the area spectrum and are rather insensitive

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Black hole radiation spectrum in loop quantum gravity: isolated horizon framework

Cited by 10 publications

References 26 publications

Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity

Entropy calculation for a toy black hole

Probing Loop Quantum Gravity with Evaporating Black Holes

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