On the Hawking wormhole horizon entropy

TL;DR

This paper calculates the entropy of the Hawking wormhole horizon in spherical Rindler coordinates, revealing its relation to surface gravity, its monotonic behavior, and its similarity to black hole entropy with quantum corrections.

Contribution

It provides a novel computation of the wormhole horizon entropy using Padmanabhan's method, linking it to black hole entropy and quantum gravity effects.

Findings

Entropy is a monotonic function of the radial coordinate.

Entropy vanishes at the Planck length.

Expression includes logarithmic quantum corrections.

Abstract

The entropy S of the horizon $theta = pi/2$ of the Hawking wormhole written in spherical Rindler coordinates is computed in this letter. Using Padmanabhan's prescription,we found that the surface gravity of the horizon equals the proper acceleration of the Rindler observer. S is a monotonic function of the radial coordinate $xi$ and vanishes when $xi$ equals the Planck length. In addition, its expression is similar with the Kaul - Majumdar one for the black hole entropy, including logarithmic corrections in quantum gravity scenarios.