Relativistic Electromagnetic Mass Models With Cosmological Variable$\Lambda$ in Spherically Symmetric Anisotropic Source

A class of exact solutions for the Einstein-Maxwell field equations are obtained by assuming the erstwhile cosmological constant $\Lambda$ to be a space-variable scalar, viz., $\Lambda =\Lambda(r)$. The source considered here is static, spherically symmetric and anisotropic charged fluid. The solutions obtained are matched continuously to the exterior Reissner-Nordstr\"{o}m solution and each of the four solutions represents an electromagnetic mass model.