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Diffusive and dynamical radiating stars with realistic equations of state

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Abstract

We model the dynamics of a spherically symmetric radiating dynamical star with three spacetime regions. The local internal atmosphere is a two-component system consisting of standard pressure-free, null radiation and an additional string fluid with energy density and nonzero pressure obeying all physically realistic energy conditions. The middle region is purely radiative which matches to a third region which is the Schwarzschild exterior. A large family of solutions to the field equations are presented for various realistic equations of state. We demonstrate that it is possible to obtain solutions via a direct integration of the second order equations resulting from the assumption of an equation of state. A comparison of our solutions with earlier well known results is undertaken and we show that all these solutions, including those of Husain, are contained in our family. We then generalise our class of solutions to higher dimensions. Finally we consider the effects of diffusive transport and transparently derive the specific equations of state for which this diffusive behaviour is possible.

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Acknowledgements

BPB, SDM and RG thank the University of KwaZulu-Natal for its continued support. BPB thanks Dr. Gabriel Govender for enlightening conversations and advice on certain aspects of this paper. SDM acknowledges that this work is based upon research supported by the South African Research Chair Initiative of the Department of Science and Technology and the National Research Foundation.

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Authors and Affiliations

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

    Byron P. Brassel, Sunil D. Maharaj & Rituparno Goswami

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  1. Byron P. Brassel
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  2. Sunil D. Maharaj
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  3. Rituparno Goswami
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Correspondence to Sunil D. Maharaj.

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Brassel, B.P., Maharaj, S.D. & Goswami, R. Diffusive and dynamical radiating stars with realistic equations of state. Gen Relativ Gravit 49, 37 (2017). https://doi.org/10.1007/s10714-017-2202-2

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