Relativistic Anelasticity

Details Relativistic Anelasticity Relativistic Anelasticity

2005-10-26

arxiv.org/abs/gr-qc/0510113v2

Class.Quant.Grav.23:3545-3571,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages

Scientific paper

10.1088/0264-9381/23/10/020

A formulation of Continuum Mechanics within the context of General Relativity is presented that allows for the incorporation of certain types of anelastic material behaviour, such as viscoelasticity and plasticity. The approach is based on the concept of a four-dimensional body-time complex structured as a principal bundle. The anelastic response is regarded as the result of a continuous distribution of inhomogeneities, whose evolution is dictated by a suggested relativistic version of the Eshelby tensor. The role played by various groups is emphasized throughout the presentation and illustrated by means of the example of an anelastic fluid.

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