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Gravitational Dust Collapse in f (R) Gravity

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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.

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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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Authors and Affiliations

  1. Department of Sciences & Humanities, National University of Computer & Emerging Sciences, Lahore Campus, Lahore, Pakistan

    M. Farasat Shamir & Zahid Raza

  2. Department of Mathematics, COMSATS, Institute of Information Technology, University Road, Abbottabad, Pakistan

    Zahid Ahmad

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  1. M. Farasat Shamir
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  2. Zahid Ahmad
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  3. Zahid Raza
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Correspondence to M. Farasat Shamir.

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Shamir, M.F., Ahmad, Z. & Raza, Z. Gravitational Dust Collapse in f (R) Gravity. Int J Theor Phys 54, 1450–1460 (2015). https://doi.org/10.1007/s10773-014-2342-z

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