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Conformally flat collapsing stars in f(R) gravity

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Abstract

The present work includes an analytical investigation of a collapsing spherical star in f(R) gravity. The interior of the collapsing star admits a conformal flatness. Information regarding the fate of the collapse is extracted from the matching conditions of the extrinsic curvature and the Ricci curvature scalar across the boundary hypersurface of the star. The radial distribution of the physical quantities such as density, anisotropic pressure and radial heat flux are studied. The inhomogeneity of the collapsing interior leads to a non-zero acceleration. The divergence of this acceleration and the loss of energy through a heat conduction forces the rate of the collapse to die down and the formation of a zero proper volume singularity is realized only asymptotically.

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Acknowledgements

N.B. wishes to thank the Astrophysics and Cosmology Research Unit at University of Kwazulu-Natal for a warm hospitality, where the work was initiated. S.C. wishes to thank Prof. Sayan Kar for useful discussions. S.C. was supported by the National Post-Doctoral Fellowship (File Number: PDF/2017/000750) from the Science and Engineering Research Board (SERB), Government of India.

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Authors and Affiliations

  1. Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur, West Bengal, 721 302, India

    Soumya Chakrabarti

  2. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa

    Rituparno Goswami & Sunil Maharaj

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

    Narayan Banerjee

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  1. Soumya Chakrabarti
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Correspondence to Soumya Chakrabarti.

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Chakrabarti, S., Goswami, R., Maharaj, S. et al. Conformally flat collapsing stars in f(R) gravity. Gen Relativ Gravit 50, 148 (2018). https://doi.org/10.1007/s10714-018-2472-3

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