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Rotating black hole hair

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

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Authors

R. Gregory

D. Kubiznak

D. Wills



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 Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
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.

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