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Anisotropic Fluid Star Model in Isotropic Coordinates

Received: 29 September 2014    Accepted: 5 October 2014    Published: 15 October 2014
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Abstract

We present a spherically symmetric solution of the general relativistic field equations in isotropic coordinates for anisotropic neutral fluid, compatible with a super dense star modeling by considering a specific choice of anisotropy factor  that includes a positive constant “” defined as anisotropy parameter, which varies the relation between the radial and tangential pressure. Further, we have constructed a super-dense star model with all degree of suitability. We have found that the maximum mass decreases with the increase of anisotropy parameter (α). The robustness of our result is that it matches with the recent discoveries.

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.2015030101.11
Page(s) 1-5
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), 2024. Published by Science Publishing Group

Keywords

Isotropic Coordinates, Anisotropic Neutral Fluid, Anisotropy Parameter, Super-Dense Star Model, Radial Pressure, Tangential Pressure

References
[1] Bowers, R.L., Liang, E.P.T.: Astrophys. J. 188, 657 (1974).
[2] Canuto, V., Lodenquai, J.: Phys. Rev. C 12, 2033 (1975).
[3] Chaisi, M., Maharaj, S.D.: Pramana journal of physics 66(3), 609 (2006).
[4] Das, B., Ray, P.C., Radinschi, I., Rahaman, F., Ray, S.: Int. J. Mod. Phys. D 20, 1675 (2011).
[5] Delgaty, M.S.R., Lake, K.: Comput. Phys. Commun. 115, 395 (1998).
[6] Esculpi,M.,Malaver,M.,Aloma,E.,:General Relativity and Gravitation ,39,633-652 (2007)
[7] Herrera, L., Ponce de Leon, J.: J. Math. Phys. 26, 2302 (1985).
[8] Herrera, L., Santos, N.O.: Phys. Rep. 286, 53 (1997).
[9] Herrera, L., Ospino, J., Prisco, A.D.: Phys. Rev. D 77, 027502 (2008).
[10] Herrera, L., Prisco, A.D., Ospino, J., Fuenmayor, E.: J. Math. Phys. 42, 2129 (2001).
[11] Maharaj, S.D., Takisa, P.M.: Gen. Relativ Gravit. 44, 1419 (2012).
[12] Maharaj, S.D., Sunzu, J.M., Ray, S.: Eur. Phys. J. Plus 129 (2014).
[13] Mak, M.K., Harko, T.: Chin. J. Astron. Astrophys. 3, 248 (2002).
[14] Mak, M.K., Harko, T.: Proc. R. Soc. Lond. A 459, 393 (2003).
[15] Mak, M.K., Dobson, P.N., Harko, T.: Int. J. Mod. Phys. D 11, 207 (2002).
[16] Malaver, M.: World Applied Programming., 3, 309 (2013).
[17] Malaver, M.: Open Science J. Mod. Phys. 1, 6 (2014)
[18] Maurya, S.K., Gupta, Y.K.: Phys. Scr. 86, 025009 (2012).
[19] Maurya, S.K., Gupta, Y.K.: Astrophys Space Sci 344, 243 (2013).
[20] Maurya, S.K., Gupta, Y.K.: Astrophys. Space Sci. 86, 025009 (2014).
[21] Pant. N,Pradhan,N.,Murad H.M.: Astrophys. Space Sci. (Accepted) 2014a,
[22] Pant.N., Pradhan,N., Ksh Newton Singh.: Journal of Gravity.doi.org/10.1155/2014/380320 2014b
[23] Ruderman, R.: A. Rev. Astr. Astrophys. 10, 427 (1972)
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  • APA Style

    Neeraj Pant, Narendra Pradhan, Manuel Malaver. (2014). Anisotropic Fluid Star Model in Isotropic Coordinates. International Journal of Astrophysics and Space Science, 3(1-1), 1-5. https://doi.org/10.11648/j.ijass.s.2015030101.11

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    ACS Style

    Neeraj Pant; Narendra Pradhan; Manuel Malaver. Anisotropic Fluid Star Model in Isotropic Coordinates. Int. J. Astrophys. Space Sci. 2014, 3(1-1), 1-5. doi: 10.11648/j.ijass.s.2015030101.11

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    AMA Style

    Neeraj Pant, Narendra Pradhan, Manuel Malaver. Anisotropic Fluid Star Model in Isotropic Coordinates. Int J Astrophys Space Sci. 2014;3(1-1):1-5. doi: 10.11648/j.ijass.s.2015030101.11

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  • @article{10.11648/j.ijass.s.2015030101.11,
      author = {Neeraj Pant and Narendra Pradhan and Manuel Malaver},
      title = {Anisotropic Fluid Star Model in Isotropic Coordinates},
      journal = {International Journal of Astrophysics and Space Science},
      volume = {3},
      number = {1-1},
      pages = {1-5},
      doi = {10.11648/j.ijass.s.2015030101.11},
      url = {https://doi.org/10.11648/j.ijass.s.2015030101.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.s.2015030101.11},
      abstract = {We present a spherically symmetric solution of the general relativistic field equations in isotropic coordinates for anisotropic neutral fluid, compatible with a super dense star modeling by considering a specific choice of anisotropy factor  that includes a positive constant “” defined as anisotropy parameter, which varies the relation between the radial and tangential pressure. Further, we have constructed a super-dense star model with all degree of suitability. We have found that the maximum mass decreases with the increase of anisotropy parameter (α). The robustness of our result is that it matches with the recent discoveries.},
     year = {2014}
    }
    

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    T1  - Anisotropic Fluid Star Model in Isotropic Coordinates
    AU  - Neeraj Pant
    AU  - Narendra Pradhan
    AU  - Manuel Malaver
    Y1  - 2014/10/15
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    DO  - 10.11648/j.ijass.s.2015030101.11
    T2  - International Journal of Astrophysics and Space Science
    JF  - International Journal of Astrophysics and Space Science
    JO  - International Journal of Astrophysics and Space Science
    SP  - 1
    EP  - 5
    PB  - Science Publishing Group
    SN  - 2376-7022
    UR  - https://doi.org/10.11648/j.ijass.s.2015030101.11
    AB  - We present a spherically symmetric solution of the general relativistic field equations in isotropic coordinates for anisotropic neutral fluid, compatible with a super dense star modeling by considering a specific choice of anisotropy factor  that includes a positive constant “” defined as anisotropy parameter, which varies the relation between the radial and tangential pressure. Further, we have constructed a super-dense star model with all degree of suitability. We have found that the maximum mass decreases with the increase of anisotropy parameter (α). The robustness of our result is that it matches with the recent discoveries.
    VL  - 3
    IS  - 1-1
    ER  - 

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Author Information
  • Mathematics Department, National Defence Academy, Khadakwasla, Pune-411023, India

  • Physics Department, National Defence Academy, Khadakwasla, Pune-411023, India

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

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