Multi-body Spherically Symmetric Steady States of Newtonian Self-Gravitating Elastic Matter
Artikel i vetenskaplig tidskrift, 2019

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 homogeneous, spherically symmetric (hyper)elastic body in Euler coordinates, i.e., in terms of matter fields defined on the current physical state of the body. We show that our definition is equivalent to the classical one existing in the literature and which is given in Lagrangian coordinates, i.e. in terms of the deformation of the body from a given reference state. After a number of well-known examples of constitutive functions of elastic bodies are re-defined in our new formulation, a detailed study of the Seth model is presented. For this type of material the existence of single and multi-body solutions is established.


Artur Alho

Instituto Superior Tecnico

Simone Calogero

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Communications in Mathematical Physics

0010-3616 (ISSN) 1432-0916 (eISSN)

Vol. 371 3 975-1004


Teknisk mekanik


Matematisk analys


Grundläggande vetenskaper



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