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Charged fluid to anisotropic fluid distribution in general relativity

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Abstract

A new class of well behaved anisotropic super-dense stars has been derived with the help of a given class of charged fluid distributions. The anisotropy parameter (or the electric intensity) is zero at the centre and monotonically increasing towards the pressure free interface. All the physical parameter such as energy density, radial pressure, tangential pressure and velocity of sound are monotonically decreasing towards the surface. The maximum mass measures 3.8593 solar mass and the corresponding radius is 21.2573 km for n=1 i.e. N tends to infinity.

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Abbreviations

Solar mass:

(MΘ)=1.475 km

P r :

= (8πG/c 4)p r a 2

P t :

= (8πG/c 4)p t a 2

D :

= (8πG/c 2)ρa 2

Δ:

= anisotropy parameter

Z :

= red-shift

G :

= 6.673×10−8 cm3/gs2

c :

= \(2.997 \times 10^{10}~\mathrm{cm/s}\)

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Acknowledgements

The author S.K. Maurya is grateful to the referee for pointing out errors in original manuscript and making constructive suggestions. The author S.K. Maurya also acknowledges her gratitude to to Prof. Kalika Srivastava, Head of the Department ITM University for their motivation and encouragement.

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Authors and Affiliations

  1. Department of Applied Science and Humanities, School of Engineering and Technology, ITM University, Gurgaon, (H.R.), India

    S. K. Maurya

  2. Department of Applied Science, School of Engineering and Technology, Sharda University, Noida, 201306, (U.P.), India

    Y. K. Gupta

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  1. S. K. Maurya
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  2. Y. K. Gupta
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Correspondence to S. K. Maurya.

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Maurya, S.K., Gupta, Y.K. Charged fluid to anisotropic fluid distribution in general relativity. Astrophys Space Sci 344, 243–251 (2013). https://doi.org/10.1007/s10509-012-1302-4

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  • DOI: https://doi.org/10.1007/s10509-012-1302-4

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