https://doi.org/10.1140/epjc/s10052-017-5244-4
Regular Article - Theoretical Physics
On the generation of magnetostatic solutions from gravitational two-soliton solutions of a stationary mass
1
Department of Physics, B.K.C. College, 111/2, B.T. Road, Bon Hooghly, Kolkata, 700108, India
2
Department of Physics, University of Burdwan, Golapbag, Burdwan, WB, 713104, India
* e-mail: schaudhuri.phys@gmail.com
Received:
4
September
2017
Accepted:
20
September
2017
Published online:
7
November
2017
In the paper, magnetostatic solutions of the Einstein–Maxwell field equations are generated from the gravitational two-soliton solutions of a stationary mass. Using the soliton technique of Belinskii and Zakharov (Sov Phys JETP 48:985, 1978, Sov Phys JETP 50:1, 1979), we construct diagonal two-soliton solutions of Einstein’s gravitational field equations for an axially symmetric stationary space-time and investigate some properties of the generated stationary gravitational metric. Magnetostatic solutions corresponding to the generated stationary gravitational solutions are then constructed using the transformation technique of Das and Chaudhuri (Pramana J Phys 40:277, 1993). The mass and the dipole moment of the source are evaluated. In our analysis we make use of a second transformation (Chaudhuri in Pramana J Phys 58:449, 2002), probably for the first time in the literature, to generate magnetostatic solutions from the stationary gravitational two-soliton solutions which give us simple and straightforward expressions for the mass and the magnetic dipole moment.
© The Author(s), 2017
