Cosmological solution of Einstein’s equations with uniform density and nonuniform pressure

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Abstract
An exact solution of the equations of general relativity is given that is most appropriately interpreted cosmologically and has some unusual properties. The solution is a perfect-fluid, spherically symmetric, nonstatic one in which the density is uniform but the pressure is nonuniform. A brief investigation, both algebraic and numerical, is made of the solution’s main physical attributes. It may be used to model a localized inhomogeneity such as a bubble in the early Universe.