Gravitating sphalerons and sphaleron black holes in asymptotically anti-de Sitter spacetime

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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30 pages, LaTeX, 8 Encapsulated PostScript figures

Scientific paper

10.1103/PhysRevD.64.064020

Numerical arguments are presented for the existence of spherically symmetric regular and black hole solutions of the EYMH equations with a negative cosmological constant. These solutions approach asymptotically the anti-de Sitter spacetime. The main properties of the solutions and the differences with respect to the asymptotically flat case are discussed. The instability of the gravitating sphaleron solutions is also proven.

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