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New stellar models generated using a quadratic equation of state

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Abstract

We obtain new regular exact solutions to the field equations for uncharged relativistic stellar objects with vanishing pressure anisotropy. We assume a quadratic equation of state and a choice of measure of anisotropy and a metric function defining one of the gravitational potentials. In our exact models, we regain anisotropic and isotropic results generated by other researchers as a special case. It is interesting that our results are in agreement with Minkowski space–time and earlier Einstein models. The physical analysis of the plots reveals that the gravitational potentials and matter variables are well behaved in the stellar interior. Using our model, we generate finite relativistic stellar masses which are consistent with the astronomical objects previously found by other researchers.

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Acknowledgements

The authors would like to acknowledge the University of Dodoma for providing conducive environment, resources and other research facilities. Secondly, Mashiku would like to thank the District Executive Director at Kwimba District in Mwanza region for providing a two-year study leave.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Dodoma, P.O. Box 338, Dodoma, Tanzania

    Jefta M Sunzu & Mashiku Thomas

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  1. Jefta M Sunzu
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  2. Mashiku Thomas
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Correspondence to Jefta M Sunzu.

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Sunzu, J.M., Thomas, M. New stellar models generated using a quadratic equation of state. Pramana - J Phys 91, 75 (2018). https://doi.org/10.1007/s12043-018-1650-x

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  • DOI: https://doi.org/10.1007/s12043-018-1650-x

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