Abstract 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.
Keywords gravitation – astroparticle physics – relativistic processes
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