Abstract
We find two new classes of exact solutions to the Einstein-Maxwell system of equations. The matter distribution satisfies a linear equation of state consistent with quark matter. The field equations are integrated by specifying forms for the measure of anisotropy and a gravitational potential which are physically reasonable. The first class has a constant potential and is regular in the stellar interior. It contains the familiar Einstein model as a limiting case and we can generate finite masses for the star. The second class has a variable potential and singularity at the centre. A graphical analysis indicates that the matter variables are well behaved.
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Acknowledgements
We are grateful to the National Research Foundation and the University of KwaZulu-Natal for financial support. SDM acknowledges that this work is based upon research supported by the South African Research Chair Initiative of the Department of Science and Technology. JMS extends his appreciation to the University of Dodoma in Tanzania for study leave.
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Sunzu, J.M., Maharaj, S.D. & Ray, S. Quark star model with charged anisotropic matter. Astrophys Space Sci 354, 517–524 (2014). https://doi.org/10.1007/s10509-014-2131-4
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DOI: https://doi.org/10.1007/s10509-014-2131-4