The long string at the stretched horizon and the entropy of large non-extremal black holes

TL;DR

This paper explains how long strings at the stretched horizon can account for the entropy of large non-extremal black holes, using thermal scalar theory to connect string states with black hole thermodynamics.

Contribution

It introduces a model where long strings at the stretched horizon reproduce black hole entropy through the thermal scalar field theory framework.

Findings

Long strings at the stretched horizon can explain black hole entropy.

The Hagedorn and Hawking temperature equality yields the Bekenstein-Hawking entropy.

The model aligns with the Bekenstein-Hawking-Wald formula.

Abstract

We discuss how long strings can arise at the stretched horizon and how they can account for the Bekenstein-Hawking entropy. We use the thermal scalar field theory to derive the asymptotic density of states and corresponding stress tensor of a microcanonical long string gas in Rindler space. We show that the equality of the Hagedorn and Hawking temperatures gives rise to the tree-level entropy of large black holes in accordance with the Bekenstein-Hawking-Wald formula.