The relative deformation tensor for small displacements in general relativity
Copyright policy )The relative deformation tensor for small displacements in general relativity
By means of the world-function, an approximate formula for the relative deformation tensor of an elastic continuum in a space-time of finite curvature is obtained. The coordinate displacements are supposed to be small with respect to the characteristic measure of the geodesic joining an arbitrary point of that continuum and a fixed point of the space-time. The formula contains all the terms up to the third order of approximation with respect to this geodesic measure, which is the basis of the approximation.
- University of Valladolid Spain
- University of Vermont United States
Approximation procedures, weak fields in general relativity and gravitational theory, elastic continuum, Theory of constitutive functions in solid mechanics, world-function, Generalities, axiomatics, foundations of continuum mechanics of solids, approximate formula for the relative deformation tensor, space-time of finite curvature, third order of approximation, geodesic measure
Approximation procedures, weak fields in general relativity and gravitational theory, elastic continuum, Theory of constitutive functions in solid mechanics, world-function, Generalities, axiomatics, foundations of continuum mechanics of solids, approximate formula for the relative deformation tensor, space-time of finite curvature, third order of approximation, geodesic measure
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