# 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.

## Key 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.

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Source: https://tomesphere.com/paper/1705.04463