Abstract
The problem of a cylindrically symmetric configuration of charged rotating dust is studied under the additional assumption that the Lorentz force on a typical particle of the fluid vanishes. Exact solutions with differential rotation are presented both in Newtonian physics and in general relativity. In the Newtonian case one particular solution exists which is regular, but which has a vanishing matter density on the axis. For the relativistic case the general solutions of the problem can be given in terms of hypergeometric functions; particular families of solutions are discussed for which the relevant physical quantities are regular on the axis.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.