Validity of black hole complementarity in an accelerating Schwarzschild black hole

TL;DR

This paper investigates the validity of black hole complementarity in an accelerating Schwarzschild black hole, finding it remains valid despite the axisymmetric geometry affecting the energy needed for information duplication.

Contribution

It extends the analysis of black hole complementarity to axisymmetric accelerating black holes, deriving thermodynamic quantities and testing the principle with thought experiments.

Findings

Black hole complementarity remains valid in accelerating Schwarzschild black holes.

Energy for information duplication depends on the angle due to axisymmetry.

Thermodynamic quantities satisfy the first law in this context.

Abstract

Black hole complementarity has been well understood in spherically symmetric black holes. To study its validity for an accelerating Schwarzschild black hole, which has a preferred direction, we perform the thought experiment proposed by Susskind and Thorlacius and further investigate the criteria set by Hayden and Preskill. First, we derive thermodynamic quantities that satisfy the first law of thermodynamics. Using these quantities, we conduct thought experiments based on the Page time and the scrambling time, which show that black hole complementarity remains valid, although the energy required for the duplication of information depends on the angle due to the axisymmetric metric.