AffiliationUniv Arizona, Dept Phys
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CitationGralla, S., Ravishankar, A., & Zimmerman, P. (2020). Horizon instability of the extremal BTZ black hole. Journal of High Energy Physics, 2020(1911.11164), 1-28.
JournalJOURNAL OF HIGH ENERGY PHYSICS
Rights© The Authors. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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AbstractWe study real-time propagation of a massive scalar field on the extremal BTZ black hole spacetime, focusing on the Aretakis instability of the event horizon. We obtain a simple time-domain expression for the AdS3 retarded Green function with Dirichlet boundary conditions and construct the corresponding time-domain BTZ retarded Green function using the method of images. The field decays at different rates on and off the horizon, indicating that transverse derivatives grow with time on the horizon (Aretakis instability). We solve the null geodesic equation in full generality and show that the instability is associated with a class of null geodesics that orbit near the event horizon arbitrarily many times before falling in. In an appendix we also treat the problem in the frequency domain, finding consistency between the methods.
NoteOpen access article
VersionFinal published version
Except where otherwise noted, this item's license is described as © The Authors. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.