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The aim of this dissertation is to review `Loop Quantum Gravity', explaining the main structure of the theory and indicating its main open issues. We will develop the two main lines of research for the theory: the canonical quantization…

General Relativity and Quantum Cosmology · Physics 2018-08-06 Pablo Antonio Moreno Casares

Canonical quantization of local field theories is classical black hole spacetimes with a single horizon leads to a particle number density with a thermal distribution in equilibrium at the Hawking temperature. A complete treatment including…

High Energy Physics - Theory · Physics 2010-11-01 B. Harms , Y. Leblanc

Quantum computational complexity estimates the difficulty of constructing quantum states from elementary operations, a problem of prime importance for quantum computation. Surprisingly, this quantity can also serve to study a completely…

High Energy Physics - Theory · Physics 2022-03-02 Shira Chapman , Giuseppe Policastro

Within a generally covariant Hamiltonian framework of loop quantum gravity (LQG), two black hole models parameterized by a quantum correction $\zeta$ have recently been constructed. Using extreme mass-ratio inspirals (EMRIs) as…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Ruo-Ting Chen , Guoyang Fu , Dan Zhang , Jian-Pin Wu

The quantized area predicted by loop quantum gravity suggests the existence of a lower bound for black-hole horizons. We prove this intuition within a covariant effective model for spherical loop quantum gravity, where nonsingular…

General Relativity and Quantum Cosmology · Physics 2025-09-01 Asier Alonso-Bardaji

We present a proposal for black hole microstate counting in Loop Quantum Gravity (LQG) for rotating (type~II) isolated horizons. The key obstacle in extending the standard nonrotating entropy derivation arises from the $\theta$-dependent…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Pritam Nanda

We present a canonical model of spherical gravity with covariant corrections motivated by loop quantum gravity. The effective Hamiltonian defines univocally a family of geometries that generalizes the Lema\^itre-Tolman-Bondi spacetimes, and…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Asier Alonso-Bardaji

The results of canonical quantum gravity concerning geometric operators and black hole entropy are beset by an ambiguity labelled by the Immirzi parameter. We use a result from classical gravity concerning the quasinormal mode spectrum of a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Olaf Dreyer

We present a quantum description of black holes given by coherent states of gravitons sourced by a matter core. The expected behaviour in the weak-field region outside the horizon is recovered, with arbitrarily good approximation, but the…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Roberto Casadio

We give a practical method to exactly compute black hole entropy in the framework of Loop Quantum Gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan Agullo , J. Fernando Barbero G. , Jacobo Diaz-Polo , Enrique Fernandez-Borja , Eduardo J. S. Villaseñor

Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are proportional to the usual semiclassical…

High Energy Physics - Theory · Physics 2014-11-18 Rabin Banerjee , Bibhas Ranjan Majhi

We examine the possibility of a constraint-free quantization of linearized gravity, based on the Teukolsky equation for black hole perturbations. We exhibit a simple quadratic (but complex) Lagrangian for the Teukolsky equation, leading to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Zoltan Perjes , Arpad Lukacs

In a seminal work, Hawking showed that natural states for free quantum matter fields on classical spacetimes that solve the spherically symmetric vacuum Einstein equations are KMS states of non-vanishing temperature. Although Hawking's…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Thomas Thiemann

A semi-classical reasoning leads to the non-commutativity of space and time coordinates near the horizon of static non-extreme black hole, and renders the classical horizon spreading to {\it Quantum Horizon} . In terms of the background…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mu-Lin Yan , Hua Bai

It is known that almost all approaches to quantum gravity produce a logarithmic correction term to the entropy of a black hole, but the exact coefficient of such a term varies between the different approach to quantum gravity. Such…

High Energy Physics - Theory · Physics 2018-09-07 Behnam Pourhassan , Mir Faizal , S. Ahmad Ketabi

Gravitational wave (GW) data from observed binary black hole coalescences (BBHC) have been demonstrated in recent analyses to validate the Hawking Area Theorem (HAT) for black hole horizons. The result of such analyses is imposed here as a…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Parthasarathi Majumdar

In this paper, we construct an effective rotating loop quantum black hole (LQBH) solution, starting from the spherical symmetric LQBH by applying the Newman-Janis algorithm modified by Azreg-A\"{i}nou's non-complexification procedure, and…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Cheng Liu , Tao Zhu , Qiang Wu , Kimet Jusufi , Mubasher Jamil , Mustapha Azreg-Aïnou , Anzhong Wang

Using the effective field theory of quantum gravity at second order in curvature, we calculate quantum corrections to the metric of gravastars and the closely related dark energy stars. We find that the quantum corrections in the exterior…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Italo Perrucci , Folkert Kuipers , Roberto Casadio

Classically the constraint algebra of general relativity, which generates gauge transformations, is equivalent to spacetime covariance. In LQG, inverse triad corrections lead to an effective Hamiltonian constraint which can lead to a…

General Relativity and Quantum Cosmology · Physics 2012-07-11 Rakesh Tibrewala

In loop quantum gravity the quantum states of a black hole horizon are produced by point-like discrete quantum geometry excitations (or {\em punctures}) labelled by spin $j$. The excitations possibly carry other internal degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Amit Ghosh , Karim Noui , Alejandro Perez