Gravitational field of a rotating gravitational dyon
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0104027,
title = {Gravitational field of a rotating gravitational dyon},
author = {Naresh Dadhich and Z. Ya. Turakulov},
journal= {arXiv preprint arXiv:gr-qc/0104027},
year = {2016}
}
Comments
4 pages, RevTex, Revised version. To appear in MPLA. The solution could be interpreted as describing field of a gravitational dyon. Title is changed accordingly