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International Journal of Theoretical Physics

, Volume 54, Issue 5, pp 1450–1460 | Cite as

Gravitational Dust Collapse in f (R) Gravity

  • M. Farasat Shamir
  • Zahid Ahmad
  • Zahid Raza
Article

Abstract

This paper is devoted to investigate gravitational collapse of dust in metric f(R) gravity. We take FRW metric for the interior region while the Schwarzchild spacetime is considered for the exterior region of a star. The junction conditions have been derived to match interior and exterior spacetimes. The assumption of constant scalar curvature is used to find a solution of field equations. Gravitational mass is found by using the junction conditions. It is concluded that the constant curvature term f(R 0) plays the role of the cosmological constant involved in the field equations of general relativity.

Keywords

Gravitational collapse f(R) gravity 

Notes

Acknowledgments

MFS is thankful to National University of Computer and Emerging Sciences (NUCES) Lahore Campus, for funding the PhD programme. The authors are also grateful to the anonymous reviewer for valuable comments and suggestions to improve the paper

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© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Sciences & HumanitiesNational University of Computer & Emerging SciencesLahorePakistan
  2. 2.Department of Mathematics, COMSATSInstitute of Information TechnologyAbbottabadPakistan

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