This article is the tenth part of the scientific project under the general title "Geometrized Vacuum Physics Based on the Algebra of Signature" [1,2,3,4,5,6,7,8,9]. In this article, based on exact solutions of the extended Einstein vacuum equation, metric-dynamic models of stable spherical vacuum formations of planetary scale with a core radius of the order ofr4 ~ 107-— 108 cm = 100 — 1000 km are proposed. These electrically neutral vacuum for-mations are called naked "planets" and "stars". The concept of a naked "planet" implies that this article does not take into account the presence and influence of small vacuum formations (micro-, nano- and picoscopic "particles"), only curvatures of the vacuum of stellar-planetary scale are considered. In particular, metric-dynamic models of a naked "star" and naked "planets" of the Solar System are proposed. The analogy between the naked "Solar System" and a biological cell is shown. Like the entire project, this article is aimed at implementing the program of complete geometrization physics of Clifford-Einstein-Wheeler.