Entropy of Extremal Black Holes in Two Dimensions

TL;DR

This paper calculates the entropy of two-dimensional extremal black holes using a finite-space thermodynamic approach, finding it to be zero locally, aligning with recent four-dimensional results.

Contribution

It provides a novel explicit computation of extremal black hole entropy in two dimensions, confirming it is zero locally, consistent with recent four-dimensional findings.

Findings

Black hole entropy in 2D extremal case is zero locally

Results align with recent 4D black hole entropy studies

Finite-space formulation effectively computes black hole thermodynamics

Abstract

Entropy for two dimensional extremal black holes is computed explicitly in a finite-space formulation of the black hole thermodynamics and is shown to be zero {\it locally}. Our results are in conformity with the recent one by Hawking et al in four dimensions.