This article is the fifth part of a scientific project under the general title "Geometrized vacuum physics based on the Algebra of Signatures". In this article, Einstein's vacuum equations are used as conservation laws, and their solutions as metric-dynamic models of stable vacuum formations. Sets of metrics-solutions of vacuum equations are considered, and methods of extracting information from these metrics based on Algebra of Signature are proposed. For con-venience of perception of intra-vacuum processes, a change in the interpretation of the zero components of the metric tensor was used. Instead of curved space-time continua, "colored" elastoplastic continuous pseudo-mediums are introduced into consideration. In this case, the zero components of the metric tensor determine not the change in the rate of flow of local time, but the speed of flow of intra-vacuum current in the local region of the elastoplastic pseu-do-medium. At the end of the article, an extended (third) Einstein vacuum equation is proposed, which allows us to consider metric-dynamic models of a variety of stable corpuscular vacuum formations. Alsigna's infinitely deepening intertwined fabric of space-time continuum, taking into account all 16 signatures (i.e. 16 types of topologies), is in many ways similar to the spin network of loop quantum gravity and to 6-dimensional Calabi-Yau manifolds. In this sense, the Algebra of Signatures can serve as a link that unites different directions in the development of quantum gravity.