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Compact relativistic star with quadratic envelope

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Abstract

We consider an uncharged anisotropic stellar model with two distinct equations of state in general relativity. The core layer has a quark matter distribution with a linear equation of state. The envelope layer has a matter distribution which is quadratic. The interfaces between the core, envelope and the vacuum exterior regions are smoothly matched. We find radii, masses and compactifications for five different compact objects which are consistent with other investigations. In particular, the properties of the pulsar object PSR J1614-2230 are studied. The metric functions and the matter distribution are regular throughout the star. In particular, it is shown that the radii associated with the core and the envelope can change for different parameter values.

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Acknowledgements

PMT is grateful to the National Research Foundation and Mangosuthu University of Technology for financial aid. SDM acknowledges that this work is based on the research supported by the South African Research Chair Initiative of the Department of Science and Technology and the National Research Foundation. CM thanks the National Research Foundation and Mangosuthu University of Technology for financial aid.

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Authors and Affiliations

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

    P Mafa Takisa & S D Maharaj

  2. Department of Electrical Engineering, Mangosuthu University of Technology, Umlazi, Durban, 4031, South Africa

    P Mafa Takisa & C Mulangu

Authors
  1. P Mafa Takisa
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  2. S D Maharaj
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  3. C Mulangu
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Correspondence to S D Maharaj.

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Takisa, P.M., Maharaj, S.D. & Mulangu, C. Compact relativistic star with quadratic envelope. Pramana - J Phys 92, 40 (2019). https://doi.org/10.1007/s12043-018-1695-x

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  • DOI: https://doi.org/10.1007/s12043-018-1695-x

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