On a Raychaudhuri equation for hot gravitating fluids

TL;DR

This paper extends the Raychaudhuri equation to hot, self-gravitating fluids with Abelian and non-Abelian magnetic fields, aiming to study high-temperature astrophysical plasmas' dynamics.

Contribution

It introduces a generalized Raychaudhuri equation incorporating finite temperature and non-Abelian magnetic fields for gravitating fluids.

Findings

Provides a new framework for plasma dynamics in astrophysics.

Enables analysis of high-temperature Abelian and non-Abelian plasmas.

Facilitates future research in astrophysical fluid evolution.

Abstract

We generalize the Raychaudhuri equation for the evolution of a self gravitating fluid to include an Abelian and non-Abelian hybrid magneto fluid at a finite temperature. The aim is to utilize this equation for investigating the dynamics of astrophysical high temperature Abelian and non-Abelian plasmas.