Geometrothermodynamics of a gravitating system with axially symmetric metric

TL;DR

This paper explores the geometrothermodynamics of gravitating systems with axially symmetric metrics, specifically in Newman-Unti-Tamburino spacetime, proposing a new theoretical approach to phase transitions in such systems.

Contribution

It introduces a novel geometrothermodynamic framework for axially symmetric gravitating systems, extending beyond traditional Van der Waals-like theories.

Findings

Geometrothermodynamics occurs in Newman-Unti-Tamburino spacetime.

The proposed theory describes phase transitions without limitations of previous models.

New insights into the thermodynamic behavior of axially symmetric gravitating systems.

Abstract

Theory of the first-order phase transition in contact statistical manifold has been proposed to describe interface systems. The theory has not limitations of known Van der Waals-like phase transitions theories. Based on this approach, geometrothermodynamics of gravitating systems with axially symmetric metric is investigated. It has been shown that such geometrothermodynamics occurs in space-ti,e with Newman-Unti-Tamburino metric.