Minimal surfaces in AdS C-metric

Abstract

We shed some light on the field theory interpretation of C-metric by investigating the minimal surfaces which are homologous to the given boundary regions. The accelerating black holes change the asymptotic structure of the space-time. We focus on the geometry features of the minimal surface and study how deep it reaches into the bulk. The regularized area of the minimal surface is not well defined and we introduce a new quantity $D(m,{\theta }_0)$, defined as the minimal surface divided by the area of the given boundary region, to study the system.

5 pages + references;v2:accepted for publication in Physics Letters B;v3: a typo corrected: in FIG.4 from top to bottom the two dashed lines correspond to ${\theta }_0=0.9$ and 1.0, not 0.8 and 0.9

References in corpus (6)

• Holographic representation of local bulk operators
• Thermodynamical Property of Entanglement Entropy for Excited States
• Interpreting the C-metric
• Black Hole Thermodynamics with Conical Defects
• Radiation from accelerated black holes in an anti-de Sitter universe
• Entanglement growth during Van der Waals like phase transition

Cited by in corpus (9)

• New family of C-metrics in $\mathcal{N}=2$ gauged supergravity
• A closer glance at black hole pair creation
• Wormhole $C$ metric
• Null geodesics in the C-metric with cosmological constant
• Holographic entanglement entropy for charged accelerating AdS black holes
• Relevant scales for the $C$-metric with positive cosmological constant
• Effects of the acceleration on holographic complexity
• Probe strings on AdS accelerating black holes
• $f(R)$ Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools