• JEFTA M SUNZU

      Articles written in Pramana – Journal of Physics

    • New exact models for anisotropic matter with electric field

      JEFTA M SUNZU PETRO DANFORD

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      We generate two newexact models for the Einstein–Maxwell field equations. In our models, we consider the stellar object that is anisotropic and charged with linear equation of state consistent with quark stars. We have a new choice of measure of anisotropy that is physically reasonable. It is interesting that in our models we regain previous isotropic results as special cases. Isotropic exact solutions regained include models by Komathiraj and Maharaj; Mak and Harko; and Misner and Zapolsky. We can also obtain particular anisotropic models obtained by Maharaj, Sunzu, and Ray. The exact solutions corresponding to our models are found explicitly in terms of elementary functions. The graphical plots generated for the matter variables and the electric field are well behaved. We also generate relativistic stellar masses consistent with observations.

    • New stellar models generated using a quadratic equation of state

      JEFTA M SUNZU MASHIKU THOMAS

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      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 withMinkowski 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.

    • Generalised charged anisotropic quark star models

      ABDULRAHIM T ABDALLA JEFTA M SUNZU JASON M MKENYELEYE

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      We find new stellar models to the field equations for charged anisotropic spheres. We use linear quarkequation of state for strange quarkmatter.We choose a new form of pressure anisotropy as a rational function. In ourmodel, we regain previous isotropic and anisotropic stellar models as specific cases. Isotropic models regained arethose found by Komathiraj and Maharaj, Mak and Harko, and Misner and Zapolsky. Anisotropic models regainedinclude the performance by Maharaj, Sunzu and Ray; and Sunzu and Danford. We indicate that our model meetsthe stability and energy conditions. We also generate stellar masses consistent with observations.

    • Charged anisotropic models via embedding

      ALBERTO K MATHIAS SUNIL D MAHARAJ JEFTA M SUNZU JASON M MKENYELEYE

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      We generate exact solutions to the Einstein–Maxwell field equations by analysing the embedding condition. We obtain a relationship between gravitational potentials that helps to solve the embedding condition and integrate the field equations. Our choice of the measure of anisotropy and electric field are physically realistic. Our model contains several previously known solutions as special cases. These include the investigations of interior Schwarzchild metric, Finch and Skea, Hansraj and Maharaj, Feroze and Siddiqui, and Manjonjo, Maharaj andMoopanar.We also describe the structure and properties of the relativistic star by including graphical representations. Our analysis shows that the body is stable, all energy conditions are satisfied, the regularity condition is not violated, forces under equilibrium condition are balanced, all matter variables are well behaved and the matching conditions are satisfied at the boundary of the relativistic star.

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