A finite rotating body in general relativity

Details A finite rotating body in general relativity A finite rotating body in general relativity

May 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ncimb..51...45m&link_type=abstract

Nuovo Cimento, Sezione B, vol. 51 B, May 11, 1979, p. 45-52.

Mathematics

5

Einstein Equations, Gravitational Fields, Metric Space, Relativity, Rotating Bodies, Anisotropy, Density (Mass/Volume), Eigenvalues, Eigenvectors, Singularity (Mathematics), Vacuum Effects

Scientific paper

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.

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