Author(s)

Martin Tamm^*

Department of Mathematics, University of Stockholm, Stockholm, Sweden.

In this paper, we investigate a certain property of curvature which differs in a remarkable way between Lorentz geometry and Euclidean geometry. In a certain sense, it turns out that rotating topological objects may have less curvature (as measured by integrating the square of the scalar curvature) than non-rotating ones. This is a consequence of the indefinite metric used in relativity theory. The results in this paper are mainly based of computer computations, and so far there is no satisfactory underlying mathematical theory. Some open problems are presented.

Curvature, Rotation, General Relativity

Tamm, M. (2015) On the Curvature of Rotating Objects. Journal of Modern Physics, 6, 828-836. doi: 10.4236/jmp.2015.66087.