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We study the spherically symmetric collapse of the axion/dilaton system coupled to gravity. We show numerically that the critical solution at the threshold of black hole formation is continuously self-similar. Numerical and analytical…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Rufus S. Hamade , James H. Horne , John M. Stewart

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

We perform a numerical study of the critical regime at the threshold of black hole formation in the spherically symmetric, general relativistic collapse of collisionless matter. The coupled Einstein-Vlasov equations are solved using a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ignacio Olabarrieta , Matthew W. Choptuik

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 investigate the gravitational collapse of a spherically symmetric, perfect fluid with equation of state P = (Gamma -1)rho. We restrict attention to the ultrarelativistic (``kinetic-energy-dominated'', ``scale-free'') limit where black…

General Relativity and Quantum Cosmology · Physics 2014-11-17 David W. Neilsen , Matthew W. Choptuik

We solve the coupled Einstein-Vlasov system in spherical symmetry using direct numerical integration of the Vlasov equation in phase space. Focusing on the case of massless particles we study critical phenomena in the model, finding strong…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Arman Akbarian , Matthew W. Choptuik

We study continuously self-similar solutions of four-dimensional Einstein-Maxwell-dilaton theory, with an arbitrary dilaton coupling. Self-similarity is an emergent symmetry of gravitational collapse near the threshold of black hole…

General Relativity and Quantum Cosmology · Physics 2018-12-07 Jorge V. Rocha , Marija Tomašević

We present results from a numerical study of spherically-symmetric collapse of a self-gravitating, SU(2) gauge field. Two distinct critical solutions are observed at the threshold of black hole formation. In one case the critical solution…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Matthew W. Choptuik , Tadeusz Chmaj , Piotr Bizon

We observe critical phenomena in spherically symmetric gravitational collapse of Einstein Cluster. We show analytically that the collapse evolution ends either in formation of a black hole or in dispersal depending on the values of initial…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ashutosh Mahajan , Tomohiro Harada , Pankaj S. Joshi , Ken-ichi Nakao

We summarize results from a study of spherically symmetric collapse of a {\it charged} (complex) massless scalar-field \cite{Hod}. We present an analytic argument which conjecture the generalization of the mass-scaling relation and echoing…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Shahar Hod , Tsvi Piran

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

In a recent paper we showed that the collapse to a black hole in one-parameter families of initial data for massless, minimally coupled scalar fields in spherically symmetric semi-classical loop quantum gravity exhibited a universal mass…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Florencia Benítez , Rodolfo Gambini , Steven L. Liebling , Jorge Pullin

In the gravitational collapse of matter beyond spherical symmetry, gravitational waves are necessarily present. On the other hand, gravitational waves can collapse to a black hole even without matter. One might therefore wonder whether the…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Carsten Gundlach , Thomas W. Baumgarte , David Hilditch

I construct a spherically symmetric solution for a massless real scalar field minimally coupled to general relativity which is discretely self-similar (DSS) and regular. This solution coincides with the intermediate attractor found by…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carsten Gundlach

In spherical symmetry compelling numerical evidence suggests that in general relativity solutions near the threshold of black hole formation exhibit critical behavior. One aspect of this is that threshold solutions themselves are…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Isabel Suárez Fernández , Rodrigo Vicente , David Hilditch

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 perform a numerical study of the critical regime for the general relativistic collapse of collisionless matter in spherical symmetry. The evolution of the matter is given by the Vlasov equation (or Boltzmann equation) and the geometry by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ignacio Olabarrieta

We consider for j=1/2, 3/2,... a spherically symmetric, static system of (2j+1) Dirac particles, each having total angular momentum j. The Dirac particles interact via a classical gravitational and electromagnetic field. The…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Felix Finster , Joel Smoller , Shing-Tung Yau

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 report on a numerical study of the spherically symmetric collapse of a self-gravitating massless scalar field. Earlier results of Choptuik(1992, 1994) are confirmed. The field either disperses to infinity or collapses to a black hole,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Rufus S. Hamade , John M. Stewart
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