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Spherical Gravitational Collapse in f(R) Gravity with Linear Equation of State
Authors:Zahid Ahmad  Hassan Shah  Suhail Khan
Affiliation:1.Department of Mathematics, COMSATS Institute of Information Technology, University Road, Post Code 22060, Abbottabad, KPK, Pakistan;2.Department of Mathematics, University of Peshawar, Peshawar Khyber Pukhtoonkhwa, Pakistan
Abstract:
In a paper[Gen. Relativ. Gravit. 48 (2016) 57] Chakrabarti and Banerjee investigated perfect fluid collapse in f(R) gravity model and claimed that such a collapse is possible. In this paper we show that without the assumption of dark energy it is not possible that perfect fluid spherical gravitational collapse will occur. We have solved the field equations by assuming linear equation of state (p=ωμ) in metric f(R) gravity with ω=-1. It is shown that Chakrabarti and Banerjee reached to false conclusion as they derived wrong field equations. We have also discussed formation of apparent horizon and singularity.
Keywords:gravitational collapse  matching conditions  dark energy  apparent horizon  
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