Can material time derivative be objective?
arXiv:math-ph/0510037 · doi:10.1016/j.physleta.2005.12.072
Abstract
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.
6 pages, 1 figure