Reply to comment by Zaslavskii on extremal black hole action

TL;DR

This paper clarifies a misunderstanding about the relevance of extremal black hole configurations by emphasizing the correct inequality that distinguishes extremal from non-extremal black hole actions.

Contribution

It corrects Zaslavskii's misinterpretation by highlighting the essential difference in inequalities governing extremal and non-extremal black hole actions.

Findings

Reaffirmed the irrelevance of extremal black hole configurations

Clarified the correct inequality distinguishing extremal from non-extremal cases

Refuted Zaslavskii's misunderstanding

Abstract

It is shown that Zaslavskii's misunderstanding of our published proof of the irrelevance of all extremal black hole configurations (whether with equal charge and mass or not) rests on his refusal to see the essential difference between the correct inequality governing extremal and non-extremal actions and his incorrect version.