Rotating black hole hair

Gregory, R.; Kubiznak, D.; Wills, D.

Abstract

A Kerr black hole sporting cosmic string hair is studied in the context of the abelian Higgs model vortex. It is shown that such a system displays much richer phenomenology than its static Schwarzschild or Reissner-Nordstrom cousins, for example, the rotation generates a near horizon ‘electric’ field. In the case of an extremal rotating black hole, two phases of the Higgs hair are possible: large black holes exhibit standard hair, with the vortex piercing the event horizon. Small black holes on the other hand, exhibit a flux-expelled solution, with the gauge and scalar field remaining identically in their false vacuum state on the event horizon. This solution however is extremely sensitive to confirm numerically, and we conjecture that it is unstable due to a supperradiant mechanism similar to the Kerr-adS instability. Finally, we compute the gravitational back reaction of the vortex, which turns out to be far more nuanced than a simple conical deficit. While the string produces a conical effect, it is conical with respect to a local co-rotating frame, not with respect to the static frame at infinity.

Citation

Gregory, R., Kubiznak, D., & Wills, D. (2013). Rotating black hole hair. Journal of High Energy Physics, 2013(6), https://doi.org/10.1007/jhep06%282013%29023

• Journal Article Type: Article
• Publication Date: Jun 6, 2013
• Deposit Date: Sep 11, 2014
• Publicly Available Date: Sep 24, 2014
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2013
• Issue: 6
• DOI: https://doi.org/10.1007/jhep06%282013%29023
• Keywords: Solitons monopoles and instantons, Black holes, Long strings.
• Public URL: https://durham-repository.worktribe.com/output/1423660