Abstract
The paper considers charged dust distributions in equilibrium. If the dust be uniformly charged (i. e. if the ratio of the charge density to the matter density be constant) or if the surfaces of the dust distributions be equipotential surfaces and inside these surfaces there is no hole or pocket of alien matter, then there exists a simple relation between and g 00 and ϕ , the electrostatic potential and the charge density must be equal to the matter density. Further in this case, the whole system of field equations can be reduced to a single Laplace equation in the empty space outside and to a nonlinear modified Poisson equation within the charged dust distributions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
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.
