English

Complexity=Anything: Singularity Probes

High Energy Physics - Theory 2024-01-19 v2

Abstract

We investigate how the complexity=anything observables proposed by [arXiv:2111.02429, arXiv:2210.09647] can be used to investigate the interior geometry of AdS black holes. In particular, we illustrate how the flexibility of the complexity=anything approach allows us to systematically probe the geometric properties of black hole singularities. We contrast our results for the AdS Schwarzschild and AdS Reissner-Nordstr\"om geometries, i.e., for uncharged and charged black holes, respectively. In the latter case, the holographic complexity observables can only probe the interior up to the inner horizon.

Keywords

Cite

@article{arxiv.2304.05453,
  title  = {Complexity=Anything: Singularity Probes},
  author = {Eivind Jørstad and Robert C. Myers and Shan-Ming Ruan},
  journal= {arXiv preprint arXiv:2304.05453},
  year   = {2024}
}

Comments

36+5 pages, 2 appendices, 7 figures; v2: minor modifications to match published version, typos corrected

R2 v1 2026-06-28T10:00:33.938Z