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Impact of Electric Field and Anisotropy on a Particular Kind Of Tiny Stars' Mass-Radius Relationship

Andrea Jacobsen

 We describe a novel class of exact solutions to the Einstein-Maxwell system for a static, spherically symmetric, anisotropic, and charged distribution of matter. We convert the Einstein-Maxwell system's master equation into Bessel and modified Bessel differential equations by assuming particular configurations of the electric field and anisotropy. The ensuing solutions turn out to be generalizations of the anisotropic and charged stellar model. We study the impact of charge and anisotropy on the mass-radius relationship of compact stars and evaluate the physical viability of the solutions using one particular class of solutions.