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While metamaterials offer the potential to realize Tamm mediums whichrepresent vacuous spacetime subjected to gravitational fields, practicalformulations for suitable metamaterials have not hitherto been developed. Thismatter is addressed by establishing a metamaterial formulation for the Tammmedium representing Schwarzschild-(anti-)de Sitter spacetime. Our formulationis remarkably simple and does not involve a complex nanostructure of the typethat is often associated with metamaterials. Instead it is based on thehomogenization of only isotropic dielectric and isotropic magnetic componentmediums, which are distributed randomly as oriented spheroidal particles. Usingthe inverse Bruggeman homogenization formalism, we demonstrated that a widerange of constitutive parameter values for the Tamm medium may be accessedthrough varying the particle shape, volume fraction or relative permittivityand relative permeability of the component mediums. The presented formulationis appropriate for the regions of spacetime which lie outside the event horizonfor Schwarzschild spacetime and inside the event horizon for de Sitterspacetime; there are no such restrictions for anti-de Sitter spacetime.

Towards a realization of Schwarzschild-(anti-)de Sitter spacetime as a particulate metamaterial