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Existence of stable hairy black holes in su (2) Einstein-Yang-Mills theory with a negative cosmological constant

1998/12/31 by Elizabeth Winstanley, E. Winstanley · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Field (mathematics) #Gauge (firearms) #Gauge theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Pure mathematics #Space (punctuation) #Theoretical physics #Yang–Mills existence and mass gap #Zero (linguistics) #gr-qc

paper · pdf · doi:10.1088/0264-9381/16/6/325

published as Class.Quant.Grav. 16 (1999) 1963-1978 · 22 pages, 10 figures (1 ps file), LaTeX2e, uses amssymb, graphicx Minor changes, version to appear in Classical and Quantum Gravity

openalex publication_date 1999/01/01 · arxiv created 1999/04/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We consider black holes in Einstein-Yang-Mills theory with a negative cosmological constant. The solutions obtained are somewhat different from those for which the cosmological constant is either positive or zero. Firstly, regular black hole solutions exist for continuous intervals of the parameter space, rather than discrete points. Secondly, there are non-trivial solutions in which the gauge field has no nodes. We show that these solutions are linearly stable.

Citations

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