Thermodynamic Topological Classes of Family of Black Holes with NUT-Charge

TL;DR

This paper introduces novel analytical methods to classify black hole thermodynamics topologically, revealing a charge-dependent transition between different topological classes in black holes with NUT-charge.

Contribution

It presents new analytical techniques for thermodynamic topology and applies them to black holes with NUT-charge, uncovering topological transitions based on charge.

Findings

Identification of universal thermodynamic topological classes.

Discovery of charge-dependent topological transitions.

Extension of thermodynamic topology analysis to NUT-charged black holes.

Abstract

{We introduce new analytical methods for treating black-hole thermodynamic topology, and thus depart from the usual treatment known in the literature. As application we investigate the universal thermodynamic topological classes of a family of black holes with NUT-charge. A charge-dependent thermodynamic topological transition from one class to another class is discussed.