Mikhail S. Volkov

Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields

We present a review of gravitating particle-like and black hole solutions with nonAbelian gauge fields. The emphasis is given to the description of the structure of the solutions and to the connection with the results of flat space soliton physics. We describe the Bartnik-McKinnon solitons and the non-Abelian black holes arising in the Einstein-Yang-Mills theory, and consider their various generalizations. These include axially symmetric and slowly rotating configurations, solutions with higher gauge groups, �-term, dilaton, and higher curvature corrections. The stability issue is discussed as well. We also describe the gravitating generalizations for flat space monopoles, sphalerons, and Skyrmions.

NonAbelian BPS monopoles in N=4 gauged supergravity

We study static, spherically symmetric, and purely magnetic solutions of SU(2) × SU(2) gauge supergravity in four dimensions. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/8 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and a globally hyperbolic, everywhere regular geometry. These present the first known example of non-Abelian backgrounds in gauge supergravity and in leading order effective string theory.

The number of sphaleron instabilities of the Bartnik-McKinnon solitons and non-Abelian black holes

Abstract It is proven that there are precisely n odd-parity sphaleron-like unstable modes of the n-th Bartnik-McKinnon solition and the n-th non-abelian black hole solution of the Einstein-Yang-Mills theory for the gauge group SU(2).It is proven that there are precisely

Cosmological Analogues of the Bartnik-McKinnon Solutions

n

Rotating Solitons and Nonrotating, Nonstatic Black Holes

odd-parity sphaleron-like unstable modes of the

Odd-parity negative modes of Einstein-Yang-Mills black holes and sphalerons

n

On rotational excitations and axial deformations of BPS monopoles and Julia-Zee dyons

-th Bartnik-McKinnon soliton and the

Stability analysis of new solutions of the EYM system with a cosmological constant.

n

Einstein-Yang-Mills sphalerons and fermion number non-conservation

-th non-abelian black hole solution of the Einstein-Yang-Mills theory for the gauge group

Instability of gravitating sphalerons

SU(2)