Minimal surfaces in AdS C-metric

TL;DR

This paper explores the geometry of minimal surfaces in the AdS C-metric, introducing a new quantity to analyze how black hole acceleration affects the bulk-boundary correspondence in holography.

Contribution

It provides a novel analysis of minimal surfaces in the AdS C-metric and introduces a new regularization quantity to better understand their properties.

Findings

Minimal surfaces are affected by black hole acceleration.

The new quantity D(m,θ₀) helps analyze minimal surface behavior.

Insights into the holographic interpretation of accelerating black holes.

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.