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New Mathematical Models of Compact Stars with Charge Distributions

Received: 23 August 2017     Accepted: 19 September 2017     Published: 23 October 2017
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Abstract

In this paper, have been found new class of solutions to the Einstein-Maxwell system for charged anisotropic matter which are relevant in the description of highly compact stellar objects. The equation of state is barotropic with a linear relation between the radial pressure and the energy density and we have considered a prescribed form for the gravitational potential Z. Variables as the energy density, radial pressure and the metric coefficients are written in terms of elementary and polynomial functions. The obtained models not admit singularities in the matter and the charge density.

Published in International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 5)
DOI 10.11648/j.ijssam.20170205.13
Page(s) 93-98
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Einstein-Maxwell System, Charged Anisotropic Matter, Compact Stellar Objects, Energy Density, Metric Coefficients

References
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  • APA Style

    Manuel Malaver. (2017). New Mathematical Models of Compact Stars with Charge Distributions. International Journal of Systems Science and Applied Mathematics, 2(5), 93-98. https://doi.org/10.11648/j.ijssam.20170205.13

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    ACS Style

    Manuel Malaver. New Mathematical Models of Compact Stars with Charge Distributions. Int. J. Syst. Sci. Appl. Math. 2017, 2(5), 93-98. doi: 10.11648/j.ijssam.20170205.13

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    AMA Style

    Manuel Malaver. New Mathematical Models of Compact Stars with Charge Distributions. Int J Syst Sci Appl Math. 2017;2(5):93-98. doi: 10.11648/j.ijssam.20170205.13

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  • @article{10.11648/j.ijssam.20170205.13,
      author = {Manuel Malaver},
      title = {New Mathematical Models of Compact Stars with Charge Distributions},
      journal = {International Journal of Systems Science and Applied Mathematics},
      volume = {2},
      number = {5},
      pages = {93-98},
      doi = {10.11648/j.ijssam.20170205.13},
      url = {https://doi.org/10.11648/j.ijssam.20170205.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170205.13},
      abstract = {In this paper, have been found new class of solutions to the Einstein-Maxwell system for charged anisotropic matter which are relevant in the description of highly compact stellar objects. The equation of state is barotropic with a linear relation between the radial pressure and the energy density and we have considered a prescribed form for the gravitational potential Z. Variables as the energy density, radial pressure and the metric coefficients are written in terms of elementary and polynomial functions. The obtained models not admit singularities in the matter and the charge density.},
     year = {2017}
    }
    

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    T1  - New Mathematical Models of Compact Stars with Charge Distributions
    AU  - Manuel Malaver
    Y1  - 2017/10/23
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    N1  - https://doi.org/10.11648/j.ijssam.20170205.13
    DO  - 10.11648/j.ijssam.20170205.13
    T2  - International Journal of Systems Science and Applied Mathematics
    JF  - International Journal of Systems Science and Applied Mathematics
    JO  - International Journal of Systems Science and Applied Mathematics
    SP  - 93
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    PB  - Science Publishing Group
    SN  - 2575-5803
    UR  - https://doi.org/10.11648/j.ijssam.20170205.13
    AB  - In this paper, have been found new class of solutions to the Einstein-Maxwell system for charged anisotropic matter which are relevant in the description of highly compact stellar objects. The equation of state is barotropic with a linear relation between the radial pressure and the energy density and we have considered a prescribed form for the gravitational potential Z. Variables as the energy density, radial pressure and the metric coefficients are written in terms of elementary and polynomial functions. The obtained models not admit singularities in the matter and the charge density.
    VL  - 2
    IS  - 5
    ER  - 

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Author Information
  • Department of Basic Sciences, Maritime University of the Caribbean, Catia la Mar, Venezuela

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