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We study numerically the collapse of massless scalar fields in two-dimensional dilaton gravity, both classically and semiclassically. At the classical level, we find that the black hole mass scales at threshold like $M_{\rm bh} \propto…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Yoav Peleg , Sukanta Bose , Leonard Parker

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop a new formalism to simulate quantum fields forming a black hole. By choosing a convenient coherent state, this formalism taps into…

High Energy Physics - Theory · Physics 2022-03-09 Benjamin Berczi , Paul M. Saffin , Shuang-Yong Zhou

We investigate numerically the critical behaviour which occurs in the collapse of both spherically symmetric and asymmetric scalar field bubbles with full general relativity. We use a minimally coupled scalar field subject to a "double…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Katy Clough , Eugene A. Lim

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop a new formalism to simulate quantum fields forming a black hole. This formalism utilizes well-established techniques used for classical…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Benjamin Berczi , Paul M. Saffin , Shuang-Yong Zhou

We study critical behavior in gravitational collapse of a general spherically symmetric Yang-Mills field coupled to the Einstein equations. Unlike the magnetic ansatz used in previous numerical work, the general Yang-Mills connection has…

General Relativity and Quantum Cosmology · Physics 2018-03-21 Maciej Maliborski , Oliver Rinne

Quantum gravity is expected to remove the classical singularity that arises as the end-state of gravitational collapse. To investigate this, we work with a toy model of a collapsing homogeneous scalar field. We show that non-perturbative…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald , Rituparno Goswami , Roy Maartens , Parampreet Singh

In hybrid classical-quantum theories, the dynamics of the classical system induce the classicality of the quantum system, meaning that such models do not necessarily require a measurement postulate to describe probabilistic measurement…

General Relativity and Quantum Cosmology · Physics 2024-02-28 Zachary Weller-Davies

In the quest of the critical solution for scalar field collapse in 2+1 gravity with a negative cosmological constant, we present a one parameter family of solutions with continuous self similar (CSS) behaviour near the central singularity.…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gerard Clement , Alessandro Fabbri

Critical collapse of a massless scalar field in spherical symmetry is systematically studied. We combine numerical simulations and asymptotic analysis, and synthesize critical collapse, spacetime singularities, and complex science. First…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Jun-Qi Guo , Hongsheng Zhang

We examine the gravitational collapse of a non-linear sigma model in spherical symmetry. There exists a family of continuously self-similar solutions parameterized by the coupling constant of the theory. These solutions are calculated…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Eric W. Hirschmann , Douglas M. Eardley

We investigate non-spherically symmetric, scalar field collapse of a family of initial data consisting of a spherically symmetric profile with a deformation proportional to the real part of the spherical harmonic $Y_{21}(\theta,\varphi)$.…

General Relativity and Quantum Cosmology · Physics 2014-03-31 James Healy , Pablo Laguna

In this work, we investigate the quasinormal modes for a massive scalar field with a nonminimal coupling with gravity in the spacetime of a loop quantum black hole, known as the Self-Dual Black Hole. In this way, we have calculated the…

High Energy Physics - Theory · Physics 2021-12-22 J. S. Santos , M. B. Cruz , F. A. Brito

We report on the existence and phenomenology of type II critical collapse within the one-parameter family of SU(2) $\sigma$-models coupled to gravity. Numerical investigations in spherical symmetry show discretely self-similar (DSS)…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Sascha Husa , Christiane Lechner , Michael Pürrer , Jonathan Thornburg , Peter C. Aichelburg

In the context of gravitational collapse and black hole formation, we reconsider the problem to describe analytically the critical collapse of a massless and minimally coupled scalar field in $2+1$ gravity.

General Relativity and Quantum Cosmology · Physics 2014-10-14 G. Clement , A. Fabbri

Critical gravitational collapse offers a unique window into regimes of arbitrarily high curvature, culminating in a naked singularity arising from smooth initial data -- thus providing a dynamical counterexample to weak cosmic censorship.…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Marija Tomašević , Chih-Hung Wu

Four-dimensional cylindrically symmetric spacetimes with homothetic self-similarity are studied in the context of Einstein's Theory of Gravity, and a class of exact solutions to the Einstein-massless scalar field equations is found. Their…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang

As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity. Universality, power-law scaling of the black hole mass, and scale…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Carsten Gundlach , David Hilditch , José M. Martín-García

We examine a charged scalar field with a position-dependent mass \( m(\rho) = m_0 + \mathcal{S}(\rho) \), where \(\mathcal{S}(\rho)\) represents a Lorentz scalar potential, near a BTZ black hole in the presence of an external magnetic…

High Energy Physics - Theory · Physics 2025-02-10 A. Guvendi , O. Mustafa

We study the dynamics of the critical collapse of a spherically symmetric scalar field. Approximate analytic expressions for the metric functions and matter field in the large-radius region are obtained. In the central region, owing to the…

General Relativity and Quantum Cosmology · Physics 2024-05-13 Jun-Qi Guo , Yu Hu , Pan-Pan Wang , Cheng-Gang Shao

We present a self-similar model of spherically symmetric collapse of a massless scalar field with a parameter $p$. The black hole formation is explicitly shown to occur only in the strong-field implosion of $p >1$. The field evolution in…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Y. Oshiro , K. Nakamura , A. Tomimatsu