Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-04-10
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, RevTex, Revised version. To appear in MPLA. The solution could be interpreted as describing field of a gravitational
Scientific paper
10.1142/S0217732302007508
We have obtained the most general solution of the Einstein vacuum equation for the axially symmetric stationary metric in which both the Hamilton-Jacobi equation for particle motion and the Klein - Gordon equation are separable. It can be interpreted to describe the gravitational field of a rotating dyon, a particle endowed with both gravoelectric (mass) and gravomagnetic (NUT parameter) charge. Further, there also exists a duality relation between the two charges and the radial and the polar angle coordinates which keeps the solution invariant. The solution can however be transformed into the known Kerr - NUT solution indicating its uniqueness under the separability of equations of motion.
Dadhich Naresh
Turakulov Ya. Z.
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