Validity of black hole complementarity in an accelerating Schwarzschild black hole

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 obtain the conserved energy of the accelerating Schwarzschild black hole from the quasilocal formalism, connecting the ADT current with the linearized Noether current at the off-shell level. Using the conserved energy, 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.