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math-ph2021
Self-gravitating static balls of power-law elastic matter
Artur Alho, Simone Calogero, Astrid Liljenberg
We study a class of power-law stored energy functions for spherically symmetric elastic bodies that includes well-known material models, such as the Saint Venant-Kirchhoff, Hadamar…
math-ph2019
Static self-gravitating Newtonian elastic balls
Artur Alho, Simone Calogero
The existence of static self-gravitating Newtonian elastic balls is proved under general assumptions on the constitutive equations of the elastic material. The proof uses methods f…
math-ph2018
Multi-body spherically symmetric steady states of Newtonian self-gravitating elastic matter
Artur Alho, Simone Calogero
We study the problem of static, spherically symmetric, self-gravitating elastic matter distributions in Newtonian gravity. To this purpose we first introduce a new definition of ho…