Embedding in Anisotropic Spheres

Exact solutions to the Einstein field equations for class I spacetime symmetry in relativistic stars are generated. The symmetry provides a relation between the gravitational potentials that lead to generalized solutions of the Einstein field equations. We choose one of the gravitational potentials on a physical basis, which allows us to obtain the other gravitational potential via an embedding approach. It is therefore possible to generate a model with astrophysical significance. The model generated satisfies physical properties like stability, causality, regularity, equilibrium and energy conditions.

Automated summary

This article discusses the exact solutions to the Einstein field equations for class I spacetime symmetry in relativistic stars, generating a model with astrophysical significance. The model satisfies various physical properties.