E. E. Donets

Internal structure of Einstein-Yang-Mills black holes

It is shown that a generic black hole solution of the SU(2) Einstein-Yang-Mills equations develops a new type of an infinitely oscillating behavior near the singularity. Only for certain discrete values of the event horizon radius exceptional solutions exist, possessing an inner structure of the Schwarzschild or Reissner-Nordstrom type.

On singularities in non-Abelian black holes

Singularities in spherically symmetric black holes in the Einstein-Yang-Mills and the Einstein-Yang-Mills with dilaton theories for the SU(2) group are investigated. Analytical formulas describing the exponentially oscillating and power-law behavior of the metric near a space-like singularity in a solution of the general form are presented.

Towards N=2 SUSY homogeneous quantum cosmology: Einstein Yang-Mills systems

The application of N=2 supersymmetric quantum mechanics for the quantization of homogeneous systems coupled with gravity is discussed. Starting with the superfield formulation of an N=2 SUSY sigma model, Hermitian self-adjoint expressions for quantum Hamiltonians and Lagrangians for any signature of a sigma-model metric are obtained. This approach is then applied to coupled SU(2) Einstein-Yang-Mills (EYM) systems in axially symmetric

SINGULARITIES INSIDE NON-ABELIAN BLACK HOLES

Bianchi

Stringy sphalerons and Gauss-Bonnet term

-type I, II, VIII, IX,

Evolution of nonlinear perturbations inside Einstein-Yang-Mills black holes

Kantowski-Sachs

Self-similarity and singularity formation in a coupled system of Yang-Mills-dilaton evolution equations

, and closed

Singularities inside nonAbelian black holes

Friedmann-Robertson-Walker

Brane vacuum as chain of rotators

cosmological models. It is shown that all these models admit the embedding into the N=2 SUSY sigma model with the explicit expressions for superpotentials being direct sums of gravitational and Yang-Mills (YM) parts. In addition, the YM parts of superpotentials exactly coincide with the corresponding Chern-Simons terms. The spontaneous SUSY breaking caused by YM instantons in EYM systems is discussed in a number of examples.

Singularities inside hairy black holes

Singularities in spherically symmetric black holes in the Einstein-Yang-Mills and the Einstein-Yang-Mills with dilaton theories for the SU(2) group are investigated. Analytical formulas describing the exponentially oscillating and power-law behavior of the metric near a space-like singularity in a solution of the general form are presented.