JMP  Vol.6 No.6 , May 2015
On the Curvature of Rotating Objects
Author(s) Martin Tamm*
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.

Cite this paper
Tamm, M. (2015) On the Curvature of Rotating Objects. Journal of Modern Physics, 6, 828-836. doi: 10.4236/jmp.2015.66087.
References
[1]   Dirac, P.A.M. (1928) Proceedings of the Royal Society of London, A117, 610.
http://dx.doi.org/10.1098/rspa.1928.0023

[2]   Tamm, M. (2005) A Statistical Approach to the Concept of Mass.
http://arxiv.org/ftp/math-ph/papers/0008/0008023.pdf

[3]   Tamm, M. (2015) Journal of Modern Physics, 6, 239-251.
http://dx.doi.org/10.4236/jmp.2015.63029

[4]   Kerr, R.P. (1963) Physical Review Letters, 11, 237.
http://dx.doi.org/10.1103/PhysRevLett.11.237

[5]   Wald, R.M. (1984) General Relativity. The University of Chicago Press, Chicago.
http://dx.doi.org/10.7208/chicago/9780226870373.001.0001

 
 
Top