Canonical energy and hairy AdS black holes
Seungjoon Hyun, Sang-A Park, Sang-Heon Yi
TL;DR
This paper introduces a modified canonical energy framework based on the Euler-Lagrange expression, applicable to AdS black holes, and explores its implications for stability analysis and boundary information metrics.
Contribution
It presents a Lagrangian-independent modification of canonical energy and applies it to analyze the stability of hairy AdS black holes.
Findings
New canonical energy formulation independent of Lagrangian ambiguities
Application to stability analysis of hairy extremal black holes
Discussion on relevance to boundary information metric in AdS/CFT
Abstract
We propose the modified version of the canonical energy which was introduced originally by Hollands and Wald. Our construction depends only on the Euler-Lagrange expression of the system and thus is independent of the ambiguity in the Lagrangian. After some comments on our construction, we briefly mention on the relevance of our construction to the boundary information metric in the context of the AdS/CFT correspondence. We also study the stability of three-dimensional hairy extremal black holes by using our construction.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.