A finite rotating body in general relativity.
Abstract
The Kerr metric, which is the simplest example of the Tomimatsu-Sato family of solutions of Einstein's vacuum field equations, is written in Lewis' extension of the canonical co-ordinates of Weyl for stationary axially symmetric fields. An anisotropic interior solution for the Kerr metric is constructed and examined and is found to be free of all singularities. The principal value of the energy tensor corresponding to positive matter density is positive everywhere and is much greater than the other three principal values.
- Publication:
-
Nuovo Cimento B Serie
- Pub Date:
- May 1979
- DOI:
- 10.1007/BF02743695
- Bibcode:
- 1979NCimB..51...45M
- Keywords:
-
- Einstein Equations;
- Gravitational Fields;
- Metric Space;
- Relativity;
- Rotating Bodies;
- Anisotropy;
- Density (Mass/Volume);
- Eigenvalues;
- Eigenvectors;
- Singularity (Mathematics);
- Vacuum Effects;
- Physics (General);
- Relativistic Astrophysics;
- Gravitation Theory;
- Background Radiation;
- Black Holes