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This contribution is a review of the method of isomonodromic quantization of dimensionally reduced gravity. Our approach is based on the complete separation of variables in the isomonodromic sector of the model and the related ``two-time"…

General Relativity and Quantum Cosmology · Physics 2009-10-28 D. Korotkin , H. Nicolai , H. Samtleben

In this paper, we study rotating horizon less black shells as an alternative to Kerr black holes. We make use of Ernst's potential to solve the Einstein equations perturbatively in the angular momentum $a$. Calculating to order $a^6$, we…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Ulf Danielsson , Suvendu Giri

In loop quantum gravity, a spherical black hole can be described in terms of a Chern-Simons theory on a punctured 2-sphere. The sphere represents the horizon. The punctures are the edges of spin-networks in the bulk which cross the horizon…

General Relativity and Quantum Cosmology · Physics 2016-07-11 Jibril Ben Achour , Karim Noui , Alejandro Perez

It has long been known that, in higher-dimensional general relativity, there are black hole solutions with an arbitrarily large angular momentum for a fixed mass. We examine the geometry of the event horizon of such ultra-spinning black…

High Energy Physics - Theory · Physics 2011-05-05 Roberto Emparan , Robert C. Myers

5-dimensional Einstein-Maxwell-Chern-Simons theory with Chern-Simons coefficient $\lambda=1$ has supersymmetric black holes with vanishing horizon angular velocity, but finite angular momentum. Here supersymmetry is associated with a…

High Energy Physics - Theory · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida

We consider black holes generically sourced by quantum matter described by regular wavefunctions. This allows for integrable effective energy densities and the removal of Cauchy horizons in spherically symmetric configurations. Moreover, we…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Roberto Casadio , Andrea Giusti , Jorge Ovalle

For distant observers black holes are trapped spacetime domains bounded by apparent horizons. We review properties of the near-horizon geometry emphasizing the consequences of two common implicit assumptions of semiclassical physics. The…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Robert B. Mann , Sebastian Murk , Daniel R. Terno

The theory of isolated horizon provides a quasi-local framework to study the spacetime geometry in the neighbourhood of the horizon of a black hole in equilibrium without any reference to structures far away from the horizon. While the…

General Relativity and Quantum Cosmology · Physics 2018-09-14 Jerzy Lewandowski , Carmen Li

Several properties of canonical quantum gravity modify space-time structures, sometimes to the degree that no effective line elements exist to describe the geometry. An analysis of solutions, for instance in the context of black holes, then…

General Relativity and Quantum Cosmology · Physics 2011-11-04 Martin Bojowald , George M. Paily , Juan D. Reyes , Rakesh Tibrewala

The issue of general covariance in effective quantum gravity models within the Hamiltonian framework is addressed. The previously proposed equations for the covariance condition in spherically symmetric models are explicitly derived. By…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Cong Zhang , Jerzy Lewandowski , Yongge Ma , Jinsong Yang

A set of boundary conditions defining an undistorted, non-rotating isolated horizon are specified in general relativity. A space-time representing a black hole which is itself in equilibrium but whose exterior contains radiation admits such…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Abhay Ashtekar , Christopher Beetle , Stephen Fairhurst

We analyze the bilayer quantum Hall (QH) system by mapping it to the monolayer QH system with spin degrees of freedom. By this mapping the tunneling interaction term is identified with the Zeeman term. We clarify the mechanism of a…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Z. F. Ezawa

Black hole mechanics was recently extended by replacing the more commonly used event horizons in stationary space-times with isolated horizons in more general space-times (which may admit radiation arbitrarily close to black holes).…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Abhay Ashtekar , Christopher Beetle , Jerzy Lewandowski

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 quantum type I…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jonathan Engle

We prove an intrinsic analogue of Hawking's rigidity theorem for extremal horizons in arbitrary dimensions: any compact cross-section of a rotating extremal horizon in a spacetime satisfying the null energy condition must admit a Killing…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Alex Colling

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chrusciel

Non-singular black holes models can be described by modified classical equations motivated by loop quantum gravity. We investigate what happens when the sine function typically used in the modification is replaced by an arbitrary bounded…

General Relativity and Quantum Cosmology · Physics 2023-06-07 Johannes Münch , Alejandro Perez , Simone Speziale , Sami Viollet

We consider charged rotating black holes in 5-dimensional Einstein-Maxwell theory. These black holes are asymptotically flat, they possess a regular horizon of spherical topology and two independent angular momenta associated with two…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida , Anna Katinka Petersen

We construct an $\mathcal{N}=2$ supersymmetric gauged quantum mechanics, by starting from the 3d Chern-Simons-matter theory holographically dual to massive Type IIA string theory on AdS$_4 \times S^6$, and Kaluza-Klein reducing on $S^2$…

High Energy Physics - Theory · Physics 2023-09-06 Francesco Benini , Saman Soltani , Ziruo Zhang

After a brief summary of the basic properties of stationary spacetimes representing rotating, charged black holes in strong axisymmetric magnetic fields, we concentrate on extremal cases, for which the horizon surface gravity vanishes. We…

General Relativity and Quantum Cosmology · Physics 2015-11-06 Jiří Bičák , Filip Hejda