# Gravitational Collapse in Rastall Gravity

## TL;DR

This paper investigates how Rastall gravity influences the gravitational collapse of a homogeneous perfect fluid, revealing that the Rastall parameter can alter the formation of horizons and the visibility of singularities, differing from general relativity predictions.

## Contribution

It introduces a study of gravitational collapse in Rastall gravity with a linear EoS, showing how the Rastall parameter affects horizon formation and singularity visibility.

## Key findings

- Naked singularities can form depending on Rastall parameter values.
- The Rastall parameter influences apparent horizon formation.
- Solutions satisfy the weak energy condition.

## Abstract

We study spherically symmetric gravitational collapse of a homogeneous perfect fluid in Rastall gravity. Considering a linear equation of state (EoS) for the fluid profiles, we examine the conditions under which the collapse scenario could end in a spacetime singularity. Depending on the model parameters, the singularity could be either naked or covered by a horizon. We find that a non-vanishing Rastall parameter could affect the formation of apparent horizon so that, naked singularities may form for those values of EoS parameter for which a homogeneous perfect fluid collapse in general relativity (GR) terminates at the black hole formation. Hence the visibility of the resulting singularity depends on the Rastall parameter. The solutions we obtain respect the weak energy condition (WEC) which is crucial for physical validity of the model.