Eur. Phys. J. C (2017) 77: 443
https://doi.org/10.1140/epjc/s10052-017-5003-6

Regular Article - Theoretical Physics

Higher-dimensional inhomogeneous perfect fluid collapse in f(R) gravity

¹ Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan
² Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, KPK, Pakistan
³ Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan

^* e-mail: abbasg91@yahoo.com
^** e-mail: ghulamabbas@iub.edu.pk

Received: 11 May 2017
Accepted: 20 June 2017
Published online: 4 July 2017

Abstract

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