11:30 am, Lecture Hall 803
The Aretakis instability of extremal asymptotically AdS black holes
Arun Ravishankar
University of Arizona.
17-07-19

---

Abstract

A few years back Aretakis discovered that extremal horizons are linearly unstable to perturbations. Over the last few years more details of the story of the instability have been revealed. I will present our work that attempts to unravel some of the open questions:

* Is there a holographic signature of the Aretakis instability? We study the planar RNAdS5 black hole to answer this question.

* There are two non-overlapping techniques to study the instability of extremal horizons - Aretakis' method using conserved charges on the horizon and the mode sum decomposition method using the near horizon AdS2 geometry. We study the BTZ black hole which gives us the full Green function which allows us to get more insight on the instability.