Black hole singularity and timelike entanglement

Jun 16, 2024
16 pages
Published in:
  • JHEP 10 (2024) 182
  • Published: Oct 24, 2024
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Abstract: (Springer)
We study timelike and conventional entanglement entropy as potential probes of black hole singularities via the AdS/CFT correspondence. Using an analytically tractable example, we find characteristic behavior of holographic timelike entanglement entropy when the geometry involves a curvature singularity. We also observe interesting phenomena that, in some particular setups, holographic timelike and conventional entanglement entropy are determined from multiple complex saddle points, which fall outside the assumptions of the Lewkowycz-Maldacena type argument.
Note:
  • 16 pages, 7 figures. v2: typos and minor errors corrected
  • AdS-CFT Correspondence
  • Black Holes