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A class of conformally flat solutions for systems undergoing radiative gravitational collapse

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Abstract

We present a class of conformally flat solutions of the Einstein’s field equations for spherical systems undergoing gravitational collapse accompanied with radial heat flux. The interior space-time of the collapsing matter is chosen to be conformal to the Robertson–Walker space-time so that its Weyl tensor vanishes identically. The conditions which ensure the smooth matching of the interior space-time of the collapsing system, across its boundary, with the exterior space-time of a radiating star which is described by Vaidya metric lead to an equation governing its overall subsequent evolution. New solutions of this equation have been shown to provide physically viable models of collapsing stars.

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Acknowledgments

RS gratefully acknowledges support from the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, where a part of this work was carried out under its Visiting Research Associateship Programme. The authors would like to thank the anonymous referee for useful comments on the manuscript.

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Authors and Affiliations

  1. P. D. Women’s College, Jalpaiguri, 735101, India

    Ranjan Sharma & Shyam Das

  2. Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Gujarat, India

    Ramesh Tikekar

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  1. Ranjan Sharma
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  2. Shyam Das
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  3. Ramesh Tikekar
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Correspondence to Ranjan Sharma.

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Sharma, R., Das, S. & Tikekar, R. A class of conformally flat solutions for systems undergoing radiative gravitational collapse. Gen Relativ Gravit 47, 25 (2015). https://doi.org/10.1007/s10714-015-1869-5

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  • DOI: https://doi.org/10.1007/s10714-015-1869-5

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