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Charged Adiabatic LTB Gravitational Collapse in f (R) Gravity

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Abstract

We study evolutionary properties of isotropic charged spherical Lemaître-Tolman-Bondi fluid undergoing non-adiabatic collapse with general f(R) background. We explore exact analytical models of Maxwell- f(R) field equations with constant Ricci scalar. The dynamics of the collapsing system is investigated through system energy content, cosmological and black hole horizons in the presence of electromagnetic field. It is concluded that in addition to matter variables and f(R) corrections, the charge also affects the time interval between formation of respective horizons and singularities. We also find that f(R) corrections as well as electromagnetic field tend to slow down the collapsing process.

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Acknowledgments

We would like to thank the Higher Education Commission, Islamabad, Pakistan for its financial support through the Indigenous Ph.D. Fellowship for 5K Scholars, Phase-II, Batch-I.

Conflict of interests

We would like to mention here that there is no conflict of interest.

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Authors and Affiliations

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

    M. Sharif & Z. Yousaf

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  1. M. Sharif
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  2. Z. Yousaf
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Correspondence to M. Sharif.

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Sharif, M., Yousaf, Z. Charged Adiabatic LTB Gravitational Collapse in f (R) Gravity. Int J Theor Phys 55, 470–480 (2016). https://doi.org/10.1007/s10773-015-2681-4

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  • DOI: https://doi.org/10.1007/s10773-015-2681-4

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