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.

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

References in corpus (2)

• Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra
• On Electrogravity Duality

Cited by in corpus (8)

• Nonlinear extensions of gravitating dyons: from NUT wormholes to Taub-Bolt instantons
• Gravitating nonabelian solutions with NUT charge
• Scalar and Spinor Perturbation to the Kerr-NUT Spacetime
• Pure Gauss-Bonnet NUT Black Hole Solution: I
• Non-singular Kerr-NUT-de Sitter spacetimes
• An alternative to the Simon tensor
• Pure Gauss-Bonnet NUT black hole with and without non-central singularity
• Pure Gauss-Bonnet NUT Black Hole Solution: II