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The aim of the present letter is to explain the `critical behaviour' observed in numerical studies of spherically symmetric gravitational collaps of a perfect fluid. A simple expression results for the critical index $\gamma$ of the black…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Dieter Maison

We construct an analytic black hole solution in $SU(2)$ Einstein-Yang-Mills theory in five dimensions supporting a Meron field. The gauge field is proportional to a pure gauge and has a non-trivial topological charge. The would-be…

High Energy Physics - Theory · Physics 2019-06-07 Fabrizio Canfora , Andrés Gomberoff , Seung Hun Oh , Francisco Rojas , Patricio Salgado-Rebolledo

We analyze the stability properties of the purely magnetic, static solutions to the Einstein--Yang--Mills equations with cosmological constant. It is shown that all three classes of solutions found in a recent study are unstable under…

High Energy Physics - Theory · Physics 2009-10-30 O. Brodbeck , M. Heusler , G. Lavrelashvili N. Straumann , M. S. Volkov

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

We study four-dimensional gravity theories that are rendered renormalisable by the inclusion of curvature-squared terms to the usual Einstein action with cosmological constant. By choosing the parameters appropriately, the massive scalar…

High Energy Physics - Theory · Physics 2011-05-23 H. Lu , C. N. Pope

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 present spherically symmetric static solutions (a particle-like solution and a black hole solution) in the Einstein-Yang-Mills system with a cosmological constant.Although their gravitational structures are locally similar to those of…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Takashi Torii , Kei-ichi Maeda , Takashi Tachizawa

Singularities inside static spherically symmetric black holes in the SU(2) Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theories are investigated. Analytical formulas are presented describing oscillatory and power law metric behavior…

General Relativity and Quantum Cosmology · Physics 2010-11-19 D. V. Gal'tsov , E. E. Donets , M. Yu. Zotov

We investigate conformally coupled quantum matter fields on spherically symmetric, continuously self-similar backgrounds. By exploiting the symmetry associated with the self-similarity the general structure of the renormalized quantum…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Patrick R Brady , Adrian C Ottewill

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William E. East

In this paper we construct an exact spherically symmetric black hole solution with a power Yang-Mills (YM) source in the context of $4D$ Einstein Gauss-Bonnet gravity ($4D$ EGB). We choose our source as $(F_{\mu\nu}^{(a)}F^{\mu\nu(a)})^q$,…

General Relativity and Quantum Cosmology · Physics 2022-12-28 Anindya Biswas

This article reviews classical and quantum aspects of critical phenomena in gravitational collapse. We pay special attention to the origin of the scaling law for black hole mass, and to phase transitions in which black hole formation turns…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Patrick R Brady , Mike J Cai

The gravitational instability of Yang-Mills cosmologies is numerically studied with the hamiltonian formulation of the spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group. On the short term, the expansion dilutes the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 A. Fuzfa

We discuss static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory for large scalar coupling. These regular asymptotically flat solutions represent monopole-antimonopole chain and vortex ring solutions, as well as new…

High Energy Physics - Theory · Physics 2008-11-26 Jutta Kunz , Ulrike Neemann , Yasha Shnir

We discuss the new class of static axially symmetric black hole solutions obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are asymptotically flat and they possess a regular event…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz

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 2015-05-13 Carsten Gundlach , Jose M. Martin-Garcia

We present results from the first fully relativistic simulations of the critical collapse of rotating radiation fluids. We observe critical scaling both in subcritical evolutions, in which case the fluid disperses to infinity and leaves…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Thomas W. Baumgarte , Carsten Gundlach

In this work, we find new static, spherically symmetric, dyonic, globally regular exact solutions to $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$, in the regime that $|\Lambda|$ is very…

General Relativity and Quantum Cosmology · Physics 2019-02-04 J. Erik Baxter

In the limit of small quark masses, the angle between the temperature axis and the applied magnetic field direction in the three-dimensional Ising model vanishes as $m_q^{2/5}$ when mapped onto the QCD $T-\mu_B$ phase plane. By selecting…

Nuclear Theory · Physics 2025-04-02 Xue Pan , Peng Yang , Lingling Cao

Einstein-Yang-Mills-dilaton theory possesses sequences of neutral static spherically symmetric black hole solutions. The solutions depend on the dilaton coupling constant $\gamma$ and on the horizon. The SU(2) solutions are labelled by the…

High Energy Physics - Theory · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz , Abha Sood
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