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In this paper is discussed a class of static spherically symmetric solutionsof the general relativistic elasticity equations. The main point of discussionis the comparison of two matter models given in terms of their stored energyfunctionals, i.e., the rule which gives the amount of energy stored in thesystem when it is deformed. Both functionals mimic (and for small deformationsapproximate) the classical Kirchhoff-St.Venant materials but differ in thestrain variable used. We discuss the behavior of the systems for largedeformations.

The static spherically symmetric body in relativistic elasticity