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A homothetic, static, spherically symmetric solution to the massless Einstein- Klein-Gordon equations is described. There is a curvature singularity which is central, null, bifurcate and marginally trapped. The space-time is therefore…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

We investigate critical phenomena during the gravitational collapse of a massive scalar field under two distinct semi-classical loop quantum gravity (LQG) approaches within spherical symmetry. Numerical simulations reveal that the massive…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Li-Jie Xin , Xiangdong Zhang

It has recently been conjectured [A. Ianniccari {\it et al.}, Phys. Rev. Lett. {\bf 133}, 081401 (2024)] that there exists a correspondence between the critical threshold of black-hole formation and the stability properties of null circular…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Shahar Hod

In this paper, we prove that extremal black holes arise on the threshold of gravitational collapse. More precisely, we construct smooth one-parameter families of smooth, spherically symmetric solutions to the Einstein-Maxwell-Vlasov system…

General Relativity and Quantum Cosmology · Physics 2024-02-16 Christoph Kehle , Ryan Unger

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 discuss the recent proposal in hep-th/0611312 where it was shown that the critical anomalous dimension associated to the onset of non-linear effects in the high energy limit of QCD coincides with the critical exponent governing the…

High Energy Physics - Theory · Physics 2007-10-15 L. Alvarez-Gaume , C. Gomez , A. Sabio Vera , A. Tavanfar , M. A. Vazquez-Mozo

Under spherical symmetry, we show that the weak cosmic censorship holds for the gravitational collapse of the Einstein-Maxwell-charged scalar field system. Namely, for this system, with generic initial data, the formed spacetime…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Xinliang An , Hong Kiat Tan

We carry out numerical simulations of the gravitational collapse of a perfect fluid with the ultrarelativistic equation of state $P=\kappa\rho$, in spherical symmetry in $2+1$ spacetime dimensions with $\Lambda<0$. At the threshold of…

General Relativity and Quantum Cosmology · Physics 2021-07-20 Patrick Bourg , Carsten Gundlach

We construct the general spherically symmetric and self-similar solution of the Einstein-Vlasov system (collisionless matter coupled to general relativity) with massless particles, under certain regularity conditions. Such solutions have a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jose M. Martin-Garcia , Carsten Gundlach

We investigate self-similar scalar field solutions to the Einstein equations in whole cylinder symmetry. Imposing self-similarity on the spacetime gives rise to a set of single variable functions describing the metric. Furthermore, it is…

General Relativity and Quantum Cosmology · Physics 2013-10-07 Eoin Condron , Brien C. Nolan

We extend the investigation of the gravitational collapse of a spherically symmetric Yang-Mills field in Einstein gravity and show that, within the black hole regime, a new kind of critical behavior arises which separates black holes formed…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Matthew W. Choptuik , Eric W. Hirschmann , Robert L. Marsa

We study the structure and stability of the recently discussed spherically symmetric Brans-Dicke black-hole type solutions with an infinite horizon area and zero Hawking temperature, existing for negative values of the coupling constant…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. A. Bronnikov , G. Clément , C. P. Constantinidis , J. C. Fabris

We carry out numerical simulations of the collapse of a complex rotating scalar field of the form $\Psi(t,r,\theta)=e^{im\theta}\Phi(t,r)$, giving rise to an axisymmetric metric, in 2+1 spacetime dimensions with cosmological constant…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Joanna Jałmużna , Carsten Gundlach

We investigate the effects of higher order curvature corrections to Einstein's Gravity on the critical phenomenon near the black hole threshold, namely the Choptuik phenomenon. We simulate numerically a five dimensional spherically…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Sveta Golod , Tsvi Piran

We carry out numerical simulations of the gravitational collapse of a rotating perfect fluid with the ultrarelativistic equation of state $P=\kappa\rho$, in axisymmetry in $2+1$ spacetime dimensions with $\Lambda<0$. We show that for…

General Relativity and Quantum Cosmology · Physics 2022-03-16 Patrick Bourg , Carsten Gundlach

This paper explores ``black hole'' solutions of various Einstein-wave matter systems admitting an isometry of their domain of outer communications taking every point to its future. In the first two parts, it is shown that such solutions,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Mihalis Dafermos

We continue our study of the gravitational collapse of spherically symmetric skyrmions. For certain families of initial data, we find the discretely self-similar Type II critical transition characterized by the mass scaling exponent $\gamma…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Piotr Bizon , Tadeusz Chmaj , Zbislaw Tabor

An exact one parameter ($\alpha$) family of solutions representing scalar field collapse is presented. These solutions exhibit a type of critical behaviour which has been discussed by Choptuik. The three possible evolutions are outlined.…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Patrick R. Brady

We study numerically the effects of loop quantum gravity motivated corrections on massless scalar field collapse in Painlev\'e-Gullstrand coordinates. Near criticality, the system exhibits Choptuik scaling with the added features of a mass…

General Relativity and Quantum Cosmology · Physics 2009-08-11 J. Ziprick , G. Kunstatter

We study the occurrence of critical phenomena in four - dimensional, rotating and charged black holes, derive the critical exponents and show that they fulfill the scaling laws. Correlation functions critical exponents and Renormalization…

General Relativity and Quantum Cosmology · Physics 2011-07-19 C. O. Lousto
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