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Equilibrium states of black holes can be modelled by isolated horizons. If the intrinsic geometry is spherical, they are called type I while if it is axi-symmetric, they are called type II. The detailed theory of geometry of \emph{quantum}…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Abhay Ashtekar , Jonathan Engle , Chris Van Den Broeck

This paper considers a wider range of "quasi-classical" models for the non-singular transition from an evaporating black hole to a white hole and the evolution of the white hole than were considered in Paper I. The quantum evolution of the…

General Relativity and Quantum Cosmology · Physics 2020-07-02 James M. Bardeen

The quantum black hole model with a self-gravitating spherically symmetric thin dust shell as a source is considered. The shell Hamiltonian constraint is written and the corresponding Schroedinger equation is obtained. This equation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Victor Berezin

In this work, we investigate black hole (BH) physics in the context of quantum corrections. These quantum corrections were introduced recently by replacing classical geodesics with quantal (Bohmian) trajectories and hence form a quantum…

General Relativity and Quantum Cosmology · Physics 2016-11-04 Ahmed Farag Ali , Mohammed M. Khalil

In this study, we investigate a static, spherically symmetric black hole (BH) within the framework of Loop Quantum Gravity (LQG) surrounded by quintessence field. Our comprehensive analysis shows that the interplay between quantum…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Ahmad Al-Badawi , Faizuddin Ahmed , İzzet Sakallı

While cubic Quasi-topological gravity is unique, there is a family of quartic Quasi-topological gravities in five dimensions. These theories are defined by leading to a first order equation on spherically symmetric spacetimes, resembling…

High Energy Physics - Theory · Physics 2021-03-10 Octavio Fierro , Nicolas Mora , Julio Oliva

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…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Aurelien Barrau , Xiangyu Cao , Karim Noui , Alejandro Perez

Utilizing the Hamiltonian constraints approach, a quantum-corrected solution has been derived \cite{Zhang:2024ney}, which describes either a regular black hole or a traversable wormhole, contingent upon the value of the quantum parameter.…

General Relativity and Quantum Cosmology · Physics 2025-05-30 R. A. Konoplya , O. S. Stashko

The quantum Oppenheimer-Snyder model for higher-dimensional spacetimes is studied. The higher-dimensional quantum-corrected Schwarzschild black hole is obtained by the junction condition. It turns out that quantum bounces always occur in…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Zijian Shi , Xiangdong Zhang , Yongge Ma

In this Chapter we would like to review a "~phenomenological~" approach taking into account the most fundamental feature of string theory or, more in general, of quantum gravity, whatever its origin, which is the existence of a minimal…

General Relativity and Quantum Cosmology · Physics 2017-05-26 Euro Spallucci , Anais Smailagic

It is known how to choose initial data for Einstein's equations describing an arbitrary number of black holes at a moment of time symmetry. This idea has been used to give insight into the cosmological averaging problem. We study the local…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Ingemar Bengtsson , Irina Galstyan

In this paper, we consider the B\"ohmer-Vandersloot (BV) model of loop quantum black holes obtained from the improved dynamics approach. We adopt the Saini-Singh gauge, in which it was found analytically that the BV spacetime is…

General Relativity and Quantum Cosmology · Physics 2024-03-08 Hongchao Zhang , Wen-Cong Gan , Yungui Gong , Anzhong Wang

Getting the mathematical rules for quantised black holes correctly is far from straightforward. Many earlier treatises got it not quite correctly. The general relativistic transformation linking the distant observer (who only detects…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Gerard t Hooft

Loop quantum gravity, as one branch of quantum gravity, holds the potential to explore the fundamental nature of black holes. Recently, according to the quantum Oppenheimer-Snyder model in loop quantum cosmology, a novel loop quantum…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Cai-Ying Shao , Cong Zhang , Wei Zhang , Cheng-Gang Shao

Schwarzschild black holes with quantum corrections are studied under scalar field perturbations and electromagnetic field perturbations to analyze the effect of the correction term on the potential function and quasinormal mode (QNM). In…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Yujia Xing , Yi Yang , Dong Liu , Zheng-Wen Long , Zhaoyi Xu

We study the phase structure of quantum improved Schwarzschild-(A)dS black holes in asymptotically safe gravity. Our results confirm some of the well-known properties of quantum black holes. For example, the quantum effect provides a…

High Energy Physics - Theory · Physics 2023-10-06 Chiang-Mei Chen , Yi Chen , Akihiro Ishibashi , Nobuyoshi Ohta

It has been suggested that the homogeneous black hole interior spacetime, when quantized following the techniques of loop quantum cosmology, has a resolved singularity replaced by a black-to-white hole transition. This result has however…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Francesco Sartini , Marc Geiller

Black holes (BHs) exhibiting coordinate singularities but lacking essential singularities throughout the entire spacetime are referred to as regular black holes (RBHs). The initial formulation of RBHs was presented by Bardeen, who…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Ying Zhao , Wentao Liu , Chao Zhang , Xiongjun Fang , Jiliang Jing

Starting from the eigenvalue equation for the mass of a black hole derived by M\"akel\"a and Repo, we show that, by reparametrizing the radial coordinate and the wave function, it can be rewritten as the eigenvalue equation of a quantum…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Wilfredo Yupanqui Carpio , Octavio Obregón

We investigate a compelling model of a rotating black hole that is deformed by the effects of loop quantum gravity (LQG). We present a simplified metric and explore two distinct geometries: one in which the masses of the black hole and…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Jafar Khodagholizadeh , Ghadir Jafari , Alireza Allahyari , Ali Vahedi