# Higher Dimensional Inhomogeneous Perfect Fluid Collapse in \emph{f(R)} Gravity

## TL;DR

This paper investigates the gravitational collapse of inhomogeneous perfect fluids in higher-dimensional $f(R)$ gravity, showing that constant curvature terms influence the formation of horizons and slow down collapse.

## Contribution

It provides an analytic solution for inhomogeneous fluid collapse in $f(R)$ gravity with constant scalar curvature, extending understanding of black hole formation in modified gravity.

## Key findings

- Black holes and horizons form before singularity.
- Constant curvature term slows down collapse.
- Collapse dynamics are affected by $f(R)$ modifications.

## Abstract

This paper is about the $n+2$-dimensional gravitational contraction of inhomogeneous fluid without heat flux in the framework of $f(R)$ metric theory of gravity. Matching conditions for two regions of a star has been derived by using the Darmois junction conditions. For the analytic solution of equations of motion in modified $f(R)$ theory of gravity, we have taken scalar curvature as constant. Hence final result of gravitational collapse in this frame work is the existence of black hole and cosmological horizons, both of these form earlier than singularity. It has been shown that constant curvature term $f(R_{0})$ ($R_0$ is constant scalar curvature) slows down the collapsing process.