Rindler horizon entropy from nonstationarity

TL;DR

This paper derives finite entropy and energy for a Rindler horizon by analyzing the nonstationary geometry beyond the horizon, linking microstates to observer ignorance and proposing a proportionality for gravitational energy density.

Contribution

It introduces a novel approach to compute horizon entropy and energy in nonstationary Rindler spacetime using the Edery-Constantineau prescription and holographic principles.

Findings

Finite horizon entropy and energy derived from nonstationary geometry.

Microstates linked to ignorance of the parameter t in nonstationary region.

Proposed proportionality of gravitational energy density to g^2.

Abstract

Finite entropy and energy are obtained for the horizon of a Rindler observer on the grounds of the nonstatic character of the geometry beyond the horizon. Edery - Constantineau prescription is used to find the dynamical phase space of this particular spacetime. The number of microstates rooted from the ignorance of a Rindler observer of the parameter $t$ from the nonstationary region is calculated. We suggest that the gravitational energy density constructed by means of the horizon energy and using the Holographic Principle is proportional to $g^{2}$, similar with a result recently obtained by Padmanabhan and with the energy density of the electromagnetic field.