On the Curvature of Rotating Objects ()
Abstract
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.
Share and Cite:
Tamm, M. (2015) On the Curvature of Rotating Objects.
Journal of Modern Physics,
6, 828-836. doi:
10.4236/jmp.2015.66087.
Conflicts of Interest
The authors declare no conflicts of interest.
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