D. H. Tchrakian

No hair conjecture, non-Abelian hierarchies, and anti-de Sitter spacetime

We consider globally regular and black holes solutions for the Einstein-Yang-Mills system with negative cosmological constant in

Particle-like solutions to higher-order curvature Einstein–Yang–Mills systems in d dimensions

d

New AdS non-Abelian black holes with superconducting horizons

-spacetime dimensions. We find that the ADM mass of the spherically symmetric solutions generically diverges for

New hairy black-hole solutions with a dilaton potential

dg4

Rotating regular solutions in Einstein-Yang-Mills-Higgs theory

. Solutions with finite mass are found by considering corrections to the YM Lagrangian consisting in higher order terms of the Yang\char21{}Mills hierarchy. Such systems can occur in the low energy effective action of string theory. A discussion of the main properties of the solutions and the differences with respect to the four dimensional case is presented. The mass of these configurations is computed by using a counterterm method.

Higher order curvature generalizations of Bartnick-McKinnon and coloured black hole solutions in d = 5

We consider the superposition of the first two members of the gravitational hierarchy (Einstein plus first Gauss–Bonnet (GB)) interacting with the superposition of the first two members of the Yang–Mills (YM) hierarchy, in d dimensions. The YM fields are taken to be in the chiral representations of the gauge groups, (i) SO(±)(d), and (ii) SO(±)(d − 1), respectively, for (i) even d and (ii) odd d. Such systems can occur in the low energy effective action of string theory. Particle-like solutions in dimensions d = 6, 8, and d = 7, are constructed, respectively. Our results reveal qualitatively new properties featuring double-branch solutions with critical behaviour. In this preliminary study, we have restricted numerical study to one-node solutions.

Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime

Abstract We present arguments for the existence of higher dimensional asymptotically AdS non-Abelian black holes with a Ricci flat event horizon and analyze their basic properties. Unlike higher dimensional black holes with a curved horizon, of the usual Einstein–Yang–Mills system, these solutions have finite mass-energy. Below some non-zero critical temperature, they are thermodynamically preferred over the Abelian configurations.

Non-Abelian solutions in AdS{sub 4} and d=11 supergravity

We consider black-hole solutions with a dilaton field possessing a nontrivial potential approaching a constant negative value at infinity. The asymptotic behaviour of the dilaton field is assumed to be slower than that of a localized distribution of matter. A non-Abelian SU(2) gauge field is also included in the total action. The mass of the solutions admitting a power series expansion in 1/r at infinity and preserving the asymptotic anti-de Sitter geometry is computed by using a counterterm subtraction method. Numerical arguments are presented for the existence of hairy black-hole solutions for a dilaton potential of the form V() = C1exp(2?1) + C2exp(2?2) + C3, special attention being paid to the case of the gauged supergravity model of Gates and Zwiebach.

Static solutions in the U(1) gauged Skyrme model

Abstract We construct new axially symmetric rotating solutions of Einstein–Yang–Mills–Higgs theory. These globally regular configurations possess a nonvanishing electric charge which equals the total angular momentum, and zero topological charge, representing a monopole–antimonopole system rotating around the symmetry axis through their common center of mass.

AdS(5 ) solutions in Einstein-Yang-Mills-Chern-Simons theory

Abstract 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 gravitational hierarchy (Einstein plus first Gauss–Bonnet (GB)) interacting with the superposition of the first two members of the SO ( d ) Yang–Mills hierarchy.