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Relativistic anelasticity

Research output: Contribution to journalJournal article

Published

Journal publication date2006
JournalClassical and Quantum Gravity
Volume23
Number of pages27
Pages3545-3571
Original languageEnglish

Abstract

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.