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Higher-dimensional charged LTB collapse in f(R) gravity

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Abstract.

This paper deals with the study of the gravitational collapse of a charged perfect fluid in n+2 dimensions in f(R) gravity. The Darmois matching criterion is used to formulate the junction conditions between the Lemaître-Tolman-Bondi metric (interior) and Reissner-Nordström metric (exterior) in n+2 dimensions while Senovilla junction conditions for f(R) gravity are also considered. The field equations are solved for the constant curvature which implies that matter variables are constant quantities. The expression for the time difference between the formation of trapped surfaces and singularity is established which supports the cosmic censorship hypothesis. We conclude that the electromagnetic field affects this time difference by reducing the repulsive effect of f R0) term. It is also found that the collapse rate of the charged fluid is faster as compared to the perfect fluid.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan

    M. Sharif & Atiq Anwar

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  1. M. Sharif
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  2. Atiq Anwar
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Correspondence to M. Sharif.

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Sharif, M., Anwar, A. Higher-dimensional charged LTB collapse in f(R) gravity. Eur. Phys. J. Plus 133, 284 (2018). https://doi.org/10.1140/epjp/i2018-12087-9

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  • DOI: https://doi.org/10.1140/epjp/i2018-12087-9

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