Charged anisotropic model with embedding and a linear equation of state
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
Exact solutions to the Einstein field equations for charged relativistic anisotropic stars are generated. The Karmarkar condition is used with the Einstein–Maxwell field equations and a linear equation of state to investigate various physical properties and behaviour of the compact star. The nonlinear differential equations and the field equations are transformed by adopting the Bannerji and Durgapal transformation. The embedding approach provides a relationship between gravitational potentials that help to solve and integrate the field equations. This enables one to specify one of the gravitational potentials, measure of anisotropy or electric field on a physical basis. In particular, the model is generated using embedding with a linear equation of state. The detailed physical analysis of the results show that the gravitational potentials and matter variables are well behaved. The model satisfies all the necessary physical conditions, such as stability, equilibrium, energy conditions and the mass–radius relationship.
Description
Abstract. Full Text Article available at: https://doi.org/10.1007/s12043-022-02503-y
Keywords
Einstein–Maxwell field equations, Embeddings, Compact stars, Anisotropic stars, Anisotropic model, Linear equation
Citation
Mathias, A. K., Sunzu, J. M., Maharaj, S. D., & Mkenyeleye, J. M. (2023). Charged anisotropic model with embedding and a linear equation of state. Pramana, 97(1), 29. https://doi.org/10.1007/s12043-022-02503-y