Thermodynamic Geometry and Type 0A Black Holes

TL;DR

This paper explores the thermodynamic geometry of type 0A black holes in string theory, revealing finite curvature invariants and geometric interpretations of entropy cutoffs, with implications for phase transitions.

Contribution

It applies multiple thermodynamic geometric methods to analyze type 0A black holes, providing new insights into their phase structure and geometric properties.

Findings

Curvature invariants are finite for all physical solutions.

No phase transition occurs in the studied black hole solutions.

Entropy cutoff appears as a geometric feature in the Weinhold metric.

Abstract

In this note we study thermodynamic geometry of the type 0A black hole solution in string theory using a variety of different methods (Ruppeiner, Weinhold and Geometrothermodynamics). Our results indicate that the curvature invariants are finite for all physical solutions, suggesting that there is no phase transition. It is also found that the cutoff of the entropy, which is the singular limit of the theory, appears geometrically in the Weinhold picture as the thermodynamic cone itself.