Gauge Invariance for Gravitation and Gradient Continuum

  • Lalaonirina R. Rakotomanana
Part of the Progress in Mathematical Physics book series (PMP, volume 73)


Geometrization of continuum physics that is the formulation of constitutive laws and conservation laws equations with respect to a reference spacetime involves some steps. First of all, physical measurable quantities should be identified with geometrical variables (metric, torsion, and curvature on the material manifold) and other additional variables if any. Second point, the spacetime is generally a dynamical background with its metric, torsion, and curvature, such is the case for general relativity. Then it is required to specify how all these geometrical variables are generated and modified by physical objects, namely material particle, material elements as line, surface, volume, defects, and how these physical objects evolve during the interaction of the continuum matter and the spacetime.


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Authors and Affiliations

  • Lalaonirina R. Rakotomanana
    • 1
  1. 1.Institut de Recherche MathématiqueUniversité de RennesRennes CXFrance

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