Conformally Static Spherically Symmetric Sphere with String Monopole & Cosmological Constant in Higher Dimension

Abstract

In this paper, we have obtained static spherically symmetric solution of Einstein field equations in higher dimension with string monopole admitting one parameter group of conformal motion. For this, we have assumed the cosmological constant Λ to be a space-like variable scalar, viz., Λ = Λ(r). The solutions are matched to the exterior solution of the higher dimensional Reissner-Nordstrom metric on the boundary r = r₀ and discussed the result.