Anisotropic vacuum solutions for exploring new exotic compact objects

The primary aim of this work is to construct and analyze novel anisotropic vacuum solutions within the framework of general relativity to explore new classes of compact objects. Four such compact objects are identified, each associated with a distinct anisotropic vacuum solution. In addition to deriving geodesic equations for these space–times, the study investigates key space–time properties—such as curvature invariants, pressure components, and singularities. The paper concludes with a discussion of the main findings and proposes several potential directions for future research.