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New class of solutions in conformally symmetric massless scalar field collapse

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Abstract

In this paper we explicitly show the existence of a class of conformally symmetric solutions of spherically symmetric massless scalar field collapse with a given conformal factor, where the spatial variations of the conformal factor can be neglected in the latter stages of collapse. We obtain an equivalent and simpler form of the Roberts model for a massless scalar field. Our solution becomes self-similar near the central singularity and the critical phenomenon that is observed in self-similar collapse, will also be valid for this new class of solutions.

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Acknowledgements

The authors would like to thank Dr. AMK Nzioki for GRTensor help. We are indebted to the National Research Foundation and the University of KwaZulu-Natal for financial support. SDM acknowledges that this work is based upon research supported by the South African Research Chair Initiative of the Department of Science and Technology.

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Authors and Affiliations

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

    Samson Ojako, Rituparno Goswami & Sunil D. Maharaj

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  1. Samson Ojako
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  2. Rituparno Goswami
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  3. Sunil D. Maharaj
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Correspondence to Sunil D. Maharaj.

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Ojako, S., Goswami, R. & Maharaj, S.D. New class of solutions in conformally symmetric massless scalar field collapse. Gen Relativ Gravit 53, 13 (2021). https://doi.org/10.1007/s10714-020-02774-z

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