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We consider the spherically symmetric SU(2) Yang-Mills Fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz we show that there exists a countable number of stationary solutions which are all nonlinearly unstable.

Analysis of PDEs · Mathematics 2016-12-21 Dietrich Häfner , Cécile Huneau

A family of spacetimes suitable for describing the interior of a non-rotational black hole is constructed. The stress-energy tensor is that of a spherically symmetric vacuum, as commonly assumed nowadays. The problem of matching the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Emilio Elizalde , Sergi R. Hildebrandt

The explanation of black hole entropy as statistical entropy is one of the big successes of string theory. In this article we review recent progress in this subject, focussing on understanding quantum effects on black hole entropy.…

High Energy Physics - Theory · Physics 2025-02-24 Davide Cassani , Sameer Murthy

We present a class of exact analytic and static, spherically symmetric black hole solutions in the semi-classical Einstein equations with Weyl anomaly. The solutions have two branches, one is asymptotically flat and the other asymptotically…

High Energy Physics - Theory · Physics 2010-04-30 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

In this paper we show that problem of proving the existence of a countable number of solutions to the static spherically symmetric SU(2) Einstein-Yang-Mills-dilaton (EYMd) equations can be reduced to proving the non-existence of solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Todd Oliynyk

We consider static spherically symmetric solutions of Einstein's equations coupled to an SU(2) Yang Mills field that are smooth at the center of spherical symmetry. We prove that with small cosmological constant there exist solutions that…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Alexander N. Linden

We study slowly rotating black hole solutions in the six independent theories of Einstein Quartic Gravity (EQG) in four dimensions. Unlike in the static case for which all six theories yield the same solution, for rotating black holes we…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Gareth Arturo Marks , Robert B. Mann , Damian Sheppard

We provide evidence for a holographic duality between superconformal quantum mechanics on the moduli space of Yang-Mills instantons and M-theory in certain asymptotically $AdS_{7}\times S^{4}$ backgrounds with a plane-wave boundary metric.…

High Energy Physics - Theory · Physics 2023-07-12 Nick Dorey , Rishi Mouland , Boan Zhao

We consider two different effective polymerization schemes applied to D-dimensional, spherically symmetric black hole interiors. It is shown that polymerization of the generalized area variable alone leads to a complete, regular,…

General Relativity and Quantum Cosmology · Physics 2009-09-04 A. Peltola , G. Kunstatter

We investigate the existence of black hole and soliton solutions to four dimensional, anti-de Sitter (adS), Einstein-Yang-Mills theories with general semisimple connected and simply connected gauge groups, concentrating on the so-called…

General Relativity and Quantum Cosmology · Physics 2018-12-14 J. Erik Baxter

New, simple models of ``black hole interiors'', namely spherically symmetric solutions of the Einstein field equations in matter matching the Schwarzschild vacuum at spacelike hypersurfaces ``R<2M'' are constructed. The models satisfy the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Giulio Magli

We investigate black hole solutions in the mimetic extension of the Einstein-Yang-Mills system, in which the Yang-Mills term is constrained to be constant. In the Abelian U(1) case, we find a static spherically symmetric solution that…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mohammad Ali Gorji , Susmita Jana , Pavel Petrov

In the SU(3) Einstein-Skyrme system static spherically symmetric particle-like solutions and black holes exist for both the SU(2) and the SO(3) embedding. The SO(3) embedding leads to new particle-like solutions and black holes, sharing…

High Energy Physics - Theory · Physics 2016-09-06 Burkhard Kleihaus , Jutta Kunz , Abha Sood

We construct globally regular as well as non-abelian black hole solutions of a higher order curvature Einstein-Yang-Mills (EYM) model in $d=5$ dimensions. This model consists of the superposition of the first two members of the…

High Energy Physics - Theory · Physics 2009-11-07 Yves Brihaye , A. Chakrabarti , Betti Hartmann , D. H. Tchrakian

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 developed a numerical code which evolves the semiclassical Einstein's equation (with the quantum stress-energy contribution added as a source term) for the spherically symmetric metric inside an evaporating semiclassical charged black…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Gil Arad

We consider globally regular and black hole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, coupled to a dilaton field. The basic solutions represent magnetic monopoles, monopole-antimonopole systems or black holes with monopole or…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Burkhard Kleihaus , Jutta Kunz , Francisco Navarro-Lérida , Ulrike Neemann

We analyze the interior geometry of static, spherically symmetric black holes of the Einstein-Yang-Mills-Higgs theory. Generically the solutions exhibit a behaviour that may be described as ``mass inflation'', although with a remarkable…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Peter Breitenlohner , George Lavrelashvili , Dieter Maison

The magnetically charged SU(2) Reissner-Nordstr\"om black-hole solutions of the coupled nonlinear Einstein-Yang-Mills field equations are known to be characterized by infinite spectra of unstable (imaginary) resonances…

High Energy Physics - Theory · Physics 2017-03-21 Shahar Hod

We here investigate static, spherically symmetric solutions to $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$ in the case of dyonic solutions, which possess a non-trivial electric sector…

General Relativity and Quantum Cosmology · Physics 2019-08-29 J. Erik Baxter
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