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New Analytical Solutions for Quark Stars with Charged Anisotropic Matter

Received: 10 November 2014     Accepted: 12 November 2014     Published: 17 November 2014
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Abstract

In this paper, we found new exact solutions to the Einstein- Maxwell system of equations within the framework of MIT Bag Model considering a particular form for the measure of anisotropy and a gravitational potential which depends on an adjustable parameter α. The first class of solutions has a singularity in the center. The second class of solutions is regular in the stellar interior. Variables as the energy density, radial pressure, tangential pressure, electric field intensity and the metric functions are written in terms of elementary and polinominal functions. We show that the form chosen for the gravitational potential and the anisotropy allows obtain physically acceptable solutions with any value of the adjustable parameter.

Published in International Journal of Astrophysics and Space Science (Volume 3, Issue 1-1)

This article belongs to the Special Issue Compact Objects in General Relativity

DOI 10.11648/j.ijass.s.2015030101.12
Page(s) 6-12
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), 2014. Published by Science Publishing Group

Keywords

Gravitational Potential, Adjustable Parameter, Einstein-Maxwell System, MIT Bag Model, Energy Density, Measure of Anisotropy

References
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Cite This Article
  • APA Style

    Manuel Malaver. (2014). New Analytical Solutions for Quark Stars with Charged Anisotropic Matter. International Journal of Astrophysics and Space Science, 3(1-1), 6-12. https://doi.org/10.11648/j.ijass.s.2015030101.12

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    ACS Style

    Manuel Malaver. New Analytical Solutions for Quark Stars with Charged Anisotropic Matter. Int. J. Astrophys. Space Sci. 2014, 3(1-1), 6-12. doi: 10.11648/j.ijass.s.2015030101.12

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    AMA Style

    Manuel Malaver. New Analytical Solutions for Quark Stars with Charged Anisotropic Matter. Int J Astrophys Space Sci. 2014;3(1-1):6-12. doi: 10.11648/j.ijass.s.2015030101.12

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  • @article{10.11648/j.ijass.s.2015030101.12,
      author = {Manuel Malaver},
      title = {New Analytical Solutions for Quark Stars with Charged Anisotropic Matter},
      journal = {International Journal of Astrophysics and Space Science},
      volume = {3},
      number = {1-1},
      pages = {6-12},
      doi = {10.11648/j.ijass.s.2015030101.12},
      url = {https://doi.org/10.11648/j.ijass.s.2015030101.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.s.2015030101.12},
      abstract = {In this paper, we found new exact solutions to the Einstein- Maxwell system of equations within the framework of MIT Bag Model considering a particular form for the measure of anisotropy and a gravitational potential which depends on an adjustable parameter α. The first class of solutions has a singularity in the center. The second class of solutions is regular in the stellar interior. Variables as the energy density, radial pressure, tangential pressure, electric field intensity and the metric functions are written in terms of elementary and polinominal functions. We show that the form chosen for the gravitational potential and the anisotropy allows obtain physically acceptable solutions with any value of the adjustable parameter.},
     year = {2014}
    }
    

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    T1  - New Analytical Solutions for Quark Stars with Charged Anisotropic Matter
    AU  - Manuel Malaver
    Y1  - 2014/11/17
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    N1  - https://doi.org/10.11648/j.ijass.s.2015030101.12
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    T2  - International Journal of Astrophysics and Space Science
    JF  - International Journal of Astrophysics and Space Science
    JO  - International Journal of Astrophysics and Space Science
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ijass.s.2015030101.12
    AB  - In this paper, we found new exact solutions to the Einstein- Maxwell system of equations within the framework of MIT Bag Model considering a particular form for the measure of anisotropy and a gravitational potential which depends on an adjustable parameter α. The first class of solutions has a singularity in the center. The second class of solutions is regular in the stellar interior. Variables as the energy density, radial pressure, tangential pressure, electric field intensity and the metric functions are written in terms of elementary and polinominal functions. We show that the form chosen for the gravitational potential and the anisotropy allows obtain physically acceptable solutions with any value of the adjustable parameter.
    VL  - 3
    IS  - 1-1
    ER  - 

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Author Information
  • Universidad Marítima del Caribe, Departamento de Ciencias Básicas, Catia la Mar, Venezuela

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