Thermodynamic Curvature and Topological Insights of Hayward Black Holes with String Fluids

TL;DR

This paper explores how string fluids influence the thermodynamic geometry and topology of Hayward black holes, revealing changes in microscopic interactions, phase transitions, and stability through novel geometric and topological analyses.

Contribution

It introduces a new equation of state for regular black holes with string fluids and applies thermodynamic geometry and topology to analyze their microstructure and phase behavior.

Findings

String fluids alter the dominant microscopic interactions from attractive to repulsive.

Thermodynamic curvature detects critical points and phase transitions effectively.

Topological analysis classifies stability regions and reveals phase transition characteristics.

Abstract

In this paper, we study the influence of string fluids on the extended thermodynamic structure and microscopic interactions of Hayward black holes by employing thermodynamic geometry as an empirical tool. Using the novel equation of state obtained for regular black holes surrounded by string fluids, we analyze the extended phase space with enthalpy as the central thermodynamic potential. By examining the behavior of the normalized Ruppeiner curvature scalar $R_N$ in the temperature-volume $(T,V)$ plane, we analyzed the influence of the string fluid parameters on the microstructure of the black hole. Our analysis reveals that the presence of string fluids significantly modifies the dominant microscopic interactions, transitioning from attractive to repulsive regimes depending on the charge and volume of the black hole. We see that the thermodynamic curvature effectively detects critical points and phase transitions, reflecting the nature of repulsive or attractive interactions among black hole microstructures. We further investigate thermodynamic topology to provide a novel classification scheme for stability and phase behavior, delineating local stable and unstable regions in parameter space. We investigate the thermodynamic topology of Hayward-AdS black holes surrounded by string fluids, showing that the number and type of topological charges depend on the parameters $\epsilon$ and $b$, revealing phase transitions and stability characteristics encoded in the global topological charge $W$. This integrated study of the thermodynamic geometry and topology structure enhances the understanding of Hayward black holes surrounded by string fluids, showing overall thermodynamic stability and configuration with significant implications for holographic duality and potential astrophysical observations.