# Chandrasekhar’s Conditions for the Equilibrium and Stability of Stars in a Universal Three-Parameter Non-Maxwell Distribution

## TL;DR

This paper revisits Chandrasekhar's star stability conditions using a new non-Maxwell distribution, finding lower maximum radiation pressures in stars.

## Contribution

A novel three-parameter non-Maxwell distribution is introduced to generalize Chandrasekhar's star stability conditions.

## Key findings

- Non-Maxwellian distribution reduces maximum radiation pressures in gas stars.
- Centrally condensed stars also show lower radiation pressures under non-Maxwellian conditions.
- Numerical analysis confirms the Maxwellian assumption overestimates stability limits.

## Abstract

The idea of Chandrasekhar’s conditions for the equilibrium and stability of stars is revisited with a new universal three-parameter non-Maxwell distribution. We derive the maximum radiation pressures in the non-Maxwell distribution for a gas star and a centrally condensed star, and thus, we generalize Chandrasekhar’s conditions in a Maxwellian sense. By numerical analyses, we find that the non-Maxwellian distribution usually reduces the maximum radiation pressures in both gas stars and centrally condensed stars as compared with cases where the gas is assumed to have a Maxwellian distribution.