In this talk I will introduce a new definition of spherically symmetric elastic body in Newtonian gravity. Using this new definition it is possible to introduce Milne‐type homology invariant variables which transform the field equations into an autonomous system of nonlinear differential equations. By employing dynamical systems methods I will finally discuss the existence of static balls for a wide variety of constitutive equations, including Seth, Signorini, Saint Venant‐Kirchhoff, Hadamard, and John’s harmonic materials.
Artur Alho (Portugal): Spherically symmetric steady states of Newtonian self‐gravitating elastic matter
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