Can material time derivative be objective?

Physics – Mathematical Physics

Scientific paper

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6 pages, 1 figure

Scientific paper

10.1016/j.physleta.2005.12.072

The concept of objectivity in classical field theories is traditionally based
on time dependent Euclidean transformations. In this paper we treat objectivity
in a four-dimensional setting, calculate Christoffel symbols of the spacetime
transformations, and give covariant and material time derivatives. The usual
objective time derivatives are investigated.

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