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We present an exact collapsing solution to 2+1 gravity with a negative cosmological constant minimally coupled to a massless scalar field, which exhibits physical properties making it a candidate critical solution. We discuss its global…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gerard Clement , Alessandro Fabbri

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

We present a family of time-dependent solutions to 2+1 gravity with negative cosmological constant and a massless scalar field as source. These solutions are continuously self-similar near the central singularity. We analyze linear…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gerard Clement , Alessandro Fabbri

We present results of numerical simulations of the formation of black holes from the gravitational collapse of a massless, minimally-coupled scalar field in 2+1 dimensional, axially-symmetric, anti de-Sitter (AdS) spacetime. The geometry…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Frans Pretorius , Matthew W. Choptuik

We present a family of exact solutions, depending on two parameters $\alpha$ and $b$ (related to the scalar field strength), to the three-dimensional Einstein-scalar field equations with negative cosmological constant $\Lambda$. For $b=0$…

General Relativity and Quantum Cosmology · Physics 2016-02-25 Gérard Clément , Alessandro Fabbri

Critical collapse of a self-gravitating scalar field in a (2+1)-dimensional spacetime with negative cosmological constant seems to be dominated by a continuously self-similar solution of the field equations without cosmological constant.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marco Cavaglia , Gerard Clement , Alessandro Fabbri

We find the perturbation spectrum of a family of spherically symmetric and continuously self-similar (CSS) exact solutions that appear to be relevant for the critical collapse of scalar field matter in 2+1 spacetime dimensions. The rate of…

General Relativity and Quantum Cosmology · Physics 2010-11-19 David Garfinkle , Carsten Gundlach

We investigate the dynamics of black hole critical collapse in the limit of a large number of spacetime dimensions, $D$. In particular, we study the spherical gravitational collapse of a massless, scale-invariant scalar field with…

High Energy Physics - Theory · Physics 2025-11-10 Craig R. Clark , Guilherme L. Pimentel

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

We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) $\sigma$-models. As the dimensionless coupling constant decreases, the critical solution changes from discretely…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Christiane Lechner , Jonathan Thornburg , Sascha Husa , Peter C. Aichelburg

We consider the problem of critical gravitational collapse of a scalar field in 2+1 dimensions with spherical (circular) symmetry. After surveying all the analytic, continuously self-similar solutions and considering their global structure,…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Eric W. Hirschmann , Anzhong Wang , Yumei Wu

Gravitational collapse of a massless scalar field in spherically symmetric anti-de Sitter (AdS) spacetimes presents a new phenomenology with a series of critical points whose dynamics is discretely self-similar as in the asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2016-02-01 Daniel Santos-Oliván , Carlos F. Sopuerta

We study the critical gravity in two dimensional AdS (AdS$_2$) spacetimes, which was obtained from the cosmological topologically massive gravity (TMG$_\Lambda$) in three dimensions by using the Kaluza-Klein dimensional reduction. We…

High Energy Physics - Theory · Physics 2013-05-29 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

We report on a new behavior found in numerical simulations of spherically symmetric gravitational collapse in self-gravitating SU(2) sigma models at intermediate gravitational coupling constants: The critical solution (between black hole…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Thornburg , Ch. Lechner , M. Purrer , P. C. Aichelburg , S. Husa

In this paper, we present two novel analytic AdS black hole solutions in a two-dimensional dilaton gravity theory with two scalar fields non-minimally coupled to gravity. Our solutions contain two arbitrary integration constants in the…

High Energy Physics - Theory · Physics 2026-03-26 Uriel Noriega-Cornelio , Alfredo Herrera-Aguilar , Cupatitzio Ramírez-Romero

We present an analytical solution of a massless scalar field collapsing in a three dimensional space-time with a negative cosmological constant, i.e. asymptotically AdS_3. The Einstein and scalar field equations are formulated using double…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Rudolf Baier , Stefan Stricker , Olli Taanila

Continuously self-similar (CSS) solutions for the gravitational collapse of a spherically symmetric perfect fluid, with the equation of state p=kappa rho, with 0<kappa<1 a constant, are constructed numerically and their linear…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Gundlach

This thesis deals with critical collapse of a massless scalar field coupled to Einstein's equations in spherical symmetry. The system is numerically investigated from both global and local points of view using a characteristic slicing and…

General Relativity and Quantum Cosmology · Physics 2007-08-15 Michael Pürrer

We review some properties of N=8 gauged supergravity in four dimensions with modified, but AdS invariant boundary conditions on the m^2=-2 scalars. There is a one-parameter class of asymptotic conditions on these fields and the metric…

High Energy Physics - Theory · Physics 2009-11-10 Thomas Hertog
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