On the global existence of hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups

ERIK, Baxter (2016). On the global existence of hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups. General Relativity and Gravitation, 48, p. 133.

[img]
Preview
PDF (Baxter On the global existence of hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups")
Baxter-2016-General_Relativity_and_Gravitation-Genreral gauge group.pdf - Published Version
Available under License Creative Commons Attribution.

Download (593kB) | Preview
[img] PDF (Acceptance email)
Baxter 13141.pdf - Other
Restricted to Repository staff only

Download (98kB)
Official URL: http://link.springer.com/article/10.1007/s10714-01...
Link to published version:: 10.1007/s10714-016-2126-2

Abstract

We investigate the existence of black hole and soliton solutions to four dimensional, anti-de Sitter (adS), Einstein-Yang-Mills theories with general semisimple connected and simply connected gauge groups, concentrating on the so-called 'regular case'. We here generalise results for the asymptotically flat case, and compare our system with similar results from the well researched adS su(N) system. We find the analysis differs from the asymptotically flat case in some important ways: the biggest difference is that for Λ < 0, solutions are much less constrained as r → ∞, making it possible to prove the existence of global solutions to the field equations in some neighbourhood of existing trivial solutions, and in the limit of |Λ| → ∞. In particular, we can identify non-trivial solutions where the gauge field functions have no zeroes, which in the su(N) case proved important to stability.

Item Type: Article
Research Institute, Centre or Group: Materials and Engineering Research Institute > Materials Analysis and Research Services
Identification Number: 10.1007/s10714-016-2126-2
Depositing User: Erik Baxter
Date Deposited: 13 Sep 2016 09:00
Last Modified: 30 Nov 2016 22:14
URI: http://shura.shu.ac.uk/id/eprint/13141

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics