# Gravitational Collapse of Baryonic and Dark matter

## TL;DR

This paper explores the gravitational collapse of baryonic and dark matter using general relativistic techniques, analyzing their final states and proposing a modified model for dark matter halo formation.

## Contribution

It introduces a general relativistic approach to model equilibrium configurations and modifies the Top-Hat collapse model for primordial dark matter halos.

## Key findings

- Dark matter collapse can lead to different singularities depending on initial conditions.
- A new relativistic equilibrium formation technique is proposed for dark matter.
- The modified collapse model suggests dark matter halos form via a relativistic process.

## Abstract

A massive star undergoes a continual gravitational collapse when the pressures inside the collapsing star become insufficient to balance the pull of gravity. The Physics of gravitational collapse of stars is well studied. Using general relativistic techniques one can show that the final fate of such a catastrophic collapse can be a black hole or a naked singularity, depending upon the initial conditions of gravitational collapse. While stars are made of baryonic matter whose collapse is well studied, there is good indirect evidence that another type of matter, known as dark matter, plays an important role in the formation of large-scale structures in the universe, such as galaxies. It is estimated that some eighty-five percent of the total matter in the universe is dark matter. Since the particle constituent of dark matter is not known yet, the gravitational collapse of dark matter is less explored. Here we consider first some basic properties of baryonic matter and dark matter collapse. Then we discuss the final fate of gravitational collapse for different types of matter fields and the nature of the singularity which can be formed as an endstate of gravitational collapse. We then present a general relativistic technique to form equilibrium configurations and argue that this can be thought of as a general relativistic analog of the standard virialization process. We suggest a modification, where the Top-Hat collapse model of primordial dark matter halo formation is modified by using the general relativistic technique of equilibrium. We also explain why this type of collapse process is more likely to happen in dark matter fields.