# Thermodynamic Analysis of a Self-Gravitating Gas in Astrophysical Contexts

## TL;DR

This paper explores the thermodynamics of a self-gravitating gas in astrophysical contexts, especially when influenced by a central gravitational field, highlighting unique properties and potential solutions.

## Contribution

It extends previous work by analyzing a self-gravitating gas in a central gravitational field, revealing new thermodynamic behaviors and properties.

## Key findings

- Identification of peculiar thermodynamic properties due to long-range gravity
- Analysis of gas behavior in the presence of a central gravitational field
- Discussion of potential solutions to the peculiarities of self-gravitating systems

## Abstract

The thermodynamics of a self-gravitating gas cloud of particles interacting only via their gravitational potential is an interesting problem with peculiarities arising due to the long-ranged nature of the gravitational interaction. Based on our recent work on the properties of such a configuration, we extend the system to contain a central gravitational field in which the particles are moving, to mimic the potential of a central compact object exerting an external force on the gas cloud. After an introduction to the general problem, including the aforementioned peculiarities and possible solutions, we will discuss the particular properties of the self-gravitating gas in a central field and its thermodynamic analysis.