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We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

Recently, a variational principle has been derived from Einstein-Hilbert and a matter Lagrangian for the spherically symmetric system of a dust shell and a black hole. The so-called physical region of the phase space, which contains all…

General Relativity and Quantum Cosmology · Physics 2015-06-25 P. Hajicek

It has recently been suggested that black holes may be described as condensates of weakly interacting gravitons at a critical point, exhibiting strong quantum effects. In this paper, we study a model system of attractive bosons in one…

High Energy Physics - Theory · Physics 2013-04-10 D. Flassig , A. Pritzel , N. Wintergerst

We study black hole radiation of a Reissner-Nordstrom black hole with an electric charge in the framework of quantum gravity. Based on a canonical quantization for a spherically symmetric geometry, under physically plausible assumptions, we…

High Energy Physics - Theory · Physics 2015-03-19 Ichiro Oda

The black hole area theorem suggests that classical general relativity is the thermodynamic limit of a quantum statistics. The degrees of freedom of the statistical theory cannot be the spacetime metric. We argue that the statistical theory…

General Relativity and Quantum Cosmology · Physics 2009-05-18 T. P. Singh

This paper investigates the influence of matter fields on the geometry of black hole horizons within higher-order gravity theories. Focusing on five-dimensional Einstein-Gauss-Bonnet gravity at a critical coupling constant ($\alpha =…

High Energy Physics - Theory · Physics 2025-03-27 Yuxuan Peng

Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting non-rotating isolated horizons as inner…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Ashtekar , J. Baez , K. Krasnov

This article assesses Landauer's principle from information theory in the context of area quantization of the Schwarzschild black hole. Within a quantum-mechanical perspective where Hawking evaporation can be interpreted in terms of…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Bijan Bagchi , Aritra Ghosh , Sauvik Sen

The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Shupeng Song , Haida Li , Yongge Ma , Cong Zhang

We discuss black hole quantization in the Wheeler-DeWitt approach. Our consideration is based on a detailed investigation of the canonical formulation of gravity with special considerations of surface terms. Since the phase space of gravity…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Thorsten Brotz

The Bekenstein-Hawking equation states that black holes should have entropy proportional to their areas to make black hole physics compatible with the second law of thermodynamics. However, this equation leads to an inconsistency among the…

High Energy Physics - Theory · Physics 2025-04-04 Koji Azuma , Sathyawageeswar Subramanian , Go Kato

In the early 1970s it is was realized that there is a striking formal analogy between the Laws of black-hole mechanics and the Laws of classical thermodynamics. Before the discovery of Hawking radiation, however, it was generally thought…

General Relativity and Quantum Cosmology · Physics 2014-11-11 Erik Curiel

In this paper, we address a foundational challenge in quantum field theory on curved spacetime by developing a consistent framework within loop quantum gravity. We introduce a methodology for defining meaningful superpositions of quantum…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Gaoping Long , Cong Zhang

In Phys. Rev. D 78 (2008) 104018 [arXiv:0807.1481], the conclusion that "entropy eigenvalues of GB black hole are discrete and equally spaced, but the area spacing is not equidistant" was firstly presented by Kothawala, Padmanabhan and…

High Energy Physics - Theory · Physics 2009-03-17 Shao-Wen Wei , Ran Li , Yu-Xiao Liu , Ji-Rong Ren

Black Holes have always played a central role in investigations of quantum gravity. This includes both conceptual issues such as the role of classical singularities and information loss, and technical ones to probe the consistency of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald

I reconsider Hawking's analysis of the effects of gravitational collapse on quantum fields, taking into account interactions between the fields. The ultra-high energy vacuum fluctuations, which had been considered to be an awkward…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Adam D. Helfer

Unless the reality of spacetime singularities is assumed, astrophysical black holes cannot be identical to their mathematical counterparts obtained as solutions of the Einstein field equations. Mechanisms for singularity regularization…

General Relativity and Quantum Cosmology · Physics 2021-02-01 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

We propose a quantum description of black holes. The degrees of freedom to be quantized are identified with the microscopic degrees of freedom of the horizon, and their dynamics is governed by the action of the relatistic bosonic membrane…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michele Maggiore

We examine the geometry of a generalized uncertainty-inspired quantum black hole. The diagonal line element is not $t$-$r$ symmetric, i.e. $g_{00} \ne -1/g_{11}$, which leads to an interesting approach to resolving the classical curvature…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Douglas M. Gingrich , Saeed Rastgoo

The adiabatic invariant nature of black hole horizon area in classical gravity suggests that in quantum theory the corresponding operator has a discrete spectrum. I here develop further an algebraic approach to black hole quantization which…

High Energy Physics - Theory · Physics 2015-06-26 Jacob D. Bekenstein