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We review the different options for resolution of the black hole loss of information problem. We classify them first into radical options, which require a quantum theory of gravity which has large deviations from semi-classical physics on…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Sabine Hossenfelder , Lee Smolin

We derive a partially gauge fixed Hamiltonian for black hole formation via real scalar field collapse. The class of models considered includes many theories of physical interest, including spherically symmetric black holes in $D$ spacetime…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. G. Daghigh , J. Gegenberg , G. Kunstatter

Canonical quantization of spherically symmetric space-times is carried out, using real-valued densitized triads and extrinsic curvature components, with specific factor ordering choices ensuring in an anomaly free quantum constraint…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Suddhasattwa Brahma

We present the first numerically stable nonlinear evolution for the leading-order gravitational effective field theory (Quadratic Gravity) in the spherically-symmetric sector. The formulation relies on (i) harmonic gauge to cast the…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Aaron Held , Hyun Lim

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio M. C. V. Goncalves

We present an effective theory to describe the quantization of spherically symmetric vacuum in loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation of the Hamiltonian of general relativity,…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We present an efficient numerical algorithm for evolving self-gravitating systems of dark-matter particles that leverages the assumption of spherical symmetry to reduce the nominally six-dimensional phase space to three dimensions. It can…

Astrophysics of Galaxies · Physics 2025-04-22 Marc Kamionkowski , Kris R. Sigurdson

We portray the structure of quantum gravity emerging from recent progress in understanding the quantum mechanics of an evaporating black hole. Quantum gravity admits two different descriptions, based on Euclidean gravitational path integral…

High Energy Physics - Theory · Physics 2021-03-31 Yasunori Nomura

In effective models of loop quantum gravity, the onset of quantum effects is controlled by a so-called polymerisation scale. It is sometimes necessary to make this scale phase space dependent in order to obtain sensible physics. A…

General Relativity and Quantum Cosmology · Physics 2019-10-28 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

Identifying the real and imaginary parts of wave functions with coordinates and momenta, quantum evolution may be mapped onto a classical Hamiltonian system. In addition to the symplectic form, quantum mechanics also has a positive-definite…

Quantum Physics · Physics 2009-11-07 R. Vilela Mendes , V. I. Man'ko

We consider 2+1 gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is analyzed. It is found that the asymptotic…

High Energy Physics - Theory · Physics 2009-11-07 Marc Henneaux , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

A new form of quasiclassical space-time dynamics for constrained systems reveals how quantum effects can be derived systematically from canonical quantization of gravitational systems. These quasiclassical methods lead to additional fields,…

General Relativity and Quantum Cosmology · Physics 2024-01-04 Kallan Berglund , Martin Bojowald , Manuel Diaz , Gianni Sims

We combine analytical and numerical techniques to study the collapse of conformally coupled massless scalar fields in semiclassical 2D dilaton gravity, with emphasis on solutions just below criticality when a black hole almost forms. We…

High Energy Physics - Theory · Physics 2009-10-30 Sukanta Bose , Leonard Parker , Yoav Peleg

In this paper we study the gravitational collapse in loop quantum gravity. We consider the space-time region inside the Schwarzschild black hole event horizon and we divide this region in two parts, the first one where the matter (dust…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leonardo Modesto

We construct initial data suitable for the Kerr stability conjecture, that is, solutions to the constraint equations on a spacelike hypersurface with boundary entering the black hole horizon that are arbitrarily decaying perturbations of a…

Analysis of PDEs · Mathematics 2025-07-24 Allen Juntao Fang , Jérémie Szeftel , Arthur Touati

This work develops a symplectic framework for quantum computing to be applied to classical Hamiltonian systems, exploiting the intrinsic geometric compatibility between unitary quantum evolution and symplectic phase-space dynamics in a…

Understanding the end state of black hole evaporation, the microscopic origin of black hole entropy, the information loss paradox, and the nature of the singularity arising in gravitational collapse - these are outstanding challenges for…

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. P. Singh , Cenalo Vaz

Within the framework of loop quantum cosmology, there exists a semi-classical regime where spacetime may be approximated in terms of a continuous manifold, but where the standard Friedmann equations of classical Einstein gravity receive…

General Relativity and Quantum Cosmology · Physics 2009-11-10 James E. Lidsey

We study the collapse in spherical symmetry of a massless scalar field minimally coupled to gravity using the semiclassical equations that are expected from loop quantum gravity. We find critical behavior of the mass as a function of the…

General Relativity and Quantum Cosmology · Physics 2020-02-24 Florencia Benitez , Rodolfo Gambini , Luis Lehner , Steve Liebling , Jorge Pullin

Open quantum systems interacting with the environments often show interesting behaviors, such as decoherence, non-unitary evolution, dissipation, etc. It is interesting but still challenging to study the open quantum gravitation system…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Hong Wang , Jin Wang