Entropy of a nonuniformly rectilinearly accelerating black hole

TL;DR

This paper calculates the entropy of a nonuniformly accelerating black hole using the thin film brick-wall model, revealing that its entropy is proportional to the horizon area and can be viewed as quantum field entropy on the horizon surface.

Contribution

It extends the brick-wall model to non-stationary, accelerating black holes with axisymmetric horizons, providing a detailed entropy calculation at each horizon point.

Findings

Entropy is proportional to the horizon area.

Horizon temperature varies across the surface.

Black hole entropy aligns with quantum field entropy on the horizon.

Abstract

Adopting thin film brick-wall model, we calculate the entropy of a nonuniformly rectilinearly accelerating non-stationary black hole expressed by Kinnersley metric. Because the black hole is accelerated, the event horizon is axisymmetric. The different points of horizon surface may have different temperature. We calculate the temperature and the entropy density at every point of the horizon at first, then we obtain the total entropy through integration, which is proportional to the aera of event horizon as the same as the stationary black holes. It is shown that the black hole entropy may be regarded as the entropy of quantum fields just on the surface of event horizon.