Baxter, JE and Winstanley, E orcid.org/0000-0001-8964-8142 (2016) On the stability of soliton and hairy black hole solutions of ${\mathfrak {su}}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant. Journal of Mathematical Physics, 57 (2). 022506 . ISSN 0022-2488
Abstract
We investigate the stability of spherically symmetric, purely magnetic, soliton and black hole solutions of four-dimensional ${\mathfrak {su}}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda $. These solutions are described by $N-1$ magnetic gauge field functions $\omega _{j}$. 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 $\omega _{j}$ have no zeros, and satisfy a set of $N-1$ inequalities. In the gravitational sector, we are able to prove that there are solutions which have no instabilities in a neighbourhood of stable embedded ${\mathfrak {su}}(2)$ solutions, provided the magnitude of the cosmological constant $\left| \Lambda \right| $ is sufficiently large.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 AIP Publishing LLC. This is an author produced version of a paper subsequently published in Journal of Mathematical Physics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | gr-qc; gr-qc; hep-th |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 13 Apr 2016 15:29 |
Last Modified: | 22 Apr 2016 03:08 |
Published Version: | http://dx.doi.org/10.1063/1.4940694 |
Status: | Published |
Publisher: | American Institute of Physics |
Refereed: | Yes |
Identification Number: | 10.1063/1.4940694 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:98086 |