Metrics of Closed World of Friedmann, Agitated by Electric Charge (Towards a Theory Electromagnetic 'Friedmanns'),
Abstract
The generalization is considered of the well known Tolman problem to the case of electrically charged dust like matter of the central symmetrical system. The first integrals of the correspondent system of the Einstein Maxwell equations are found. The problem is specificated in such a way that with the full charge of the system going to zero, the metrics of the closed Friedman world arises. Such a system is considered at the initial moment, that of maximal enlargement. With any non-vanishing but no matter how small value of the electric charge the metrics is unclosed. The metrics of the almost-Friedmanian part of the world allows the continuation through the narrow manhole (at the small charge) as the Nordstroem Reissner metrics with the parameters m sub 0 sq rt (chi) = e sub o. The expression for the electric potential in the manhole phi sub h = c-squared/sq rt chi does not depend upon the value of the electric charge. The radius of the manhole r sub h = e sub 0 sq. rt (chi)/ c-squared increases with the increase of the charge. The state of the manhole as given by the classical description appears as essentially unstable from the quantum physics viewpoint. The production of various pairs in the enormous electric fields of the manhole gives rise to the polarisation of the latter up to effective charge Z < 137e irrespective of the initial (no matter how great) charge of the system.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 10, 1986
- Accession Number
- ADA168981
Entities
People
- M. A. Markov
- V. P. Frolov
Organizations
- National Air and Space Intelligence Center