Electric charge in the Kruskal space-time and the Jeans conjecture

In 1928 Jeans conjectured that there might be regions in space such as for example centers of galaxies through which matter could be flowing into our universe from other universes. We investigate if this conjecture extended to charged matter could be realized within the framework of general relativity with the help of black and white holes. By studying a test electromagnetic field produced by a point charge in the maximally extended Schwarzschild space-time we show that an observer at infinity always can get an information on the value of the charge even if it is hidden inside a white hole. Therefore we conclude that the Jeans conjecture cannot be realized for charged matter by a white hole. This result can be generalized to include a test gravitational field produced by a test mass hidden inside a white hole, hole.