Physical process first law and caustic avoidance for Rindler horizon

TL;DR

This paper investigates how a slowly rotating massive object affects a Rindler horizon, modeling the perturbation as tidal distortions, and establishes conditions for the physical process first law to hold.

Contribution

It introduces a model for tidal distortions caused by rotating objects and derives conditions ensuring the validity of the physical process first law at the Rindler horizon.

Findings

Tidal distortions can be modeled as Delta-function type perturbations.

A condition on the size of the object ensures the physical process first law holds.

The analysis extends previous work to rotating objects and Rindler horizons.

Abstract

We study the perturbation induced by a slowly rotating massive object as it passes through a Rindler horizon. It is shown that the passage of this object can be approximately modeled as Delta\,function type tidal distortions hitting the horizon. Further, following the analysis presented by Amsel, Marolf and Virmani related to the issue of the validity of physical process first law, we establish a condition on the size of the object so that this law holds for the Rindler horizon.