Physics
Scientific paper
Mar 1973
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973pthph..49..790s&link_type=abstract
Progress of Theoretical Physics, Vol. 49, No. 3, pp. 790-799
Physics
3
Scientific paper
The method that was used to generalized Schwarzshild metric into Kerr metric is applied to generalize Weyl metrics into ``rotating Weyl metrics'', under the approximation of slow rotation that angular momentum J is much smaller than m2, m being gravitational mass. Our solutions of Einstein's field equation in empty space contain three parameters i.e., m, J and the deformation parameter δ which classifies the static Weyl metrics. Such properties of these solutions as even horizon, infinite red-shift surface and quadrupole moment are discussed.
Sato Haruo
Tomimatsu Akira
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