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Chinese Physics C> 2017, Vol. 41> Issue(1) : 015103 DOI: 10.1088/1674-1137/41/1/015103

Anisotropic compact stars in Karmarkar spacetime

  • 1.

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

  • 2.

      Department of Mathematics, National Defence Academy, Khadakwasla, Pune, 411023, India

  • 3.

      Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa

  • We present a new class of solutions to the Einstein field equations for an anisotropic matter distribution in which the interior space-time obeys the Karmarkar condition. The necessary and sufficient condition required for a spherically symmetric space-time to be of Class One reduces the gravitational behavior of the model to a single metric function. By assuming a physically viable form for the grr metric potential we obtain an exact solution of the Einstein field equations which is free from any singularities and satisfies all the physical criteria. We use this solution to predict the masses and radii of well-known compact objects such as Cen X-3, PSR J0348+0432, PSR B0943+10 and XTE J1739-285.
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Ksh. Newton Singh, Neeraj Pant and M. Govender. Anisotropic compact stars in Karmarkar spacetime[J]. Chinese Physics C, 2017, 41(1): 015103. doi: 10.1088/1674-1137/41/1/015103
Ksh. Newton Singh, Neeraj Pant and M. Govender. Anisotropic compact stars in Karmarkar spacetime[J]. Chinese Physics C, 2017, 41(1): 015103.  doi: 10.1088/1674-1137/41/1/015103 shu
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Received: 2016-06-19
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Anisotropic compact stars in Karmarkar spacetime

    Corresponding author: Ksh. Newton Singh, ntnphy@gmail.com
    Corresponding author: Neeraj Pant, ntnphy@gmail.com
    Corresponding author: M. Govender, ntnphy@gmail.com
  • 1.  Department of Physics, National Defence Academy, Khadakwasla, Pune-411023, India
  • 2.  Department of Mathematics, National Defence Academy, Khadakwasla, Pune, 411023, India
  • 3.  Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, South Africa
  • Received Date: 2016-06-19
  • Available Online: 2017-01-05

Abstract: We present a new class of solutions to the Einstein field equations for an anisotropic matter distribution in which the interior space-time obeys the Karmarkar condition. The necessary and sufficient condition required for a spherically symmetric space-time to be of Class One reduces the gravitational behavior of the model to a single metric function. By assuming a physically viable form for the grr metric potential we obtain an exact solution of the Einstein field equations which is free from any singularities and satisfies all the physical criteria. We use this solution to predict the masses and radii of well-known compact objects such as Cen X-3, PSR J0348+0432, PSR B0943+10 and XTE J1739-285.

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