Charged fluid without electric field: A generalization of the Godel solution

According to the Maxwell equations in an arbitrary reference frame in general relativity the electric charge distribution may be completely compensated by a magnetic field in the presence of the frame's rotation. Exact self-consistent examples of systems containing a charged fluid, purely magnetic field and gravitation, are constructed forming a generalization of the Godel solution. The absence of an electric field in these systems in the co-moving (with matter) reference frame is in agreement with the above property of the Maxwell equations resulting in no repulsion between similar charges. In the limiting case when the charge density of the fluid vanishes, the Godel solution is recovered. Geometric, hydrodynamic and electromagnetic properties of the new solutions are studied.

Number of issue
1
Language
English
Pages
209-218
Status
Published
Number
021
Volume
8
Year
1991
Organizations
  • 1 Dept. of Theor. Phys., P. Lumumba People's Friendship Univ., Moscow, Russian Federation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/1062/