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Spherically symmetric collapse of a perfect fluid in f(R) gravity

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Abstract

The present work investigates the gravitational collapse of a perfect fluid in f (R) gravity models. For a general f (R) theory, it is shown analytically that a collapse is quite possible. The singularity formed as a result of the collapse is found to be a curvature singularity of shell focusing type. The possibility of the formation of an apparent horizon hiding the central singularity depends on the initial conditions.

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Authors and Affiliations

  1. Department of Physical Sciences, Indian Institute of Science Education and Research, Kolkata, Mohanpur Campus, Nadia, West Bengal, 741246, India

    Soumya Chakrabarti & Narayan Banerjee

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  1. Soumya Chakrabarti
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  2. Narayan Banerjee
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Correspondence to Narayan Banerjee.

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Chakrabarti, S., Banerjee, N. Spherically symmetric collapse of a perfect fluid in f(R) gravity. Gen Relativ Gravit 48, 57 (2016). https://doi.org/10.1007/s10714-016-2045-2

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  • DOI: https://doi.org/10.1007/s10714-016-2045-2

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