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General Relativity and Quantum Cosmology

arXiv:1507.00904 (gr-qc)
[Submitted on 1 Jul 2015]

Title:Gravitational Dust Collapse in $f(R)$ Gravity

Authors:M. Farasat Shamir, Zahid Ahmad, Zahid Raza
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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.
Comments: 17 Pages
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:1507.00904 [gr-qc]
  (or arXiv:1507.00904v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.1507.00904
Journal reference: Int. J. Theor. Phys. 54(5): 1450-1460, 2015
Related DOI: https://doi.org/10.1007/s10773-014-2342-z

Submission history

From: M. Farasat Shamir [view email]
[v1] Wed, 1 Jul 2015 08:05:07 UTC (12 KB)
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