2015/01/31 by J. Erik Baxter, Elizabeth Winstanley
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Mathematical physics #Noncommutative and Quantum Gravity Theories #Nonlinear system #Physics #Quantum mechanics #Soliton #Stability (learning theory) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1063/1.4940694
43 pages, 4 figures, minor changes, discussion expanded and references updated. Matches version accepted for publication in J. Math. Phys
arxiv created 2016/01/25 · openalex publication_date 2016/02/01 · arxiv updated 2016/02/17 · openalex created_date 2017/04/07 · openalex updated_date 2026/08/05
We investigate the stability of spherically symmetric, purely magnetic, soliton and black hole solutions of four-dimensional 𝔰𝔲(N) Einstein-Yang-Mills theory with a negative cosmological constant Λ. These solutions are described by N − 1 magnetic gauge field functions ωj. We consider linear, spherically symmetric, perturbations of these solutions. The perturbations decouple into two sectors, known as the sphaleronic and gravitational sectors. For any N, there are no instabilities in the sphaleronic sector if all the magnetic gauge field functions ωj have no zeros and satisfy a set of N − 1 inequalities. In the gravitational sector, we prove that there are solutions which have no instabilities in a neighbourhood of stable embedded 𝔰𝔲(2) solutions, provided the magnitude of the cosmological constant Λ is sufficiently large.