Institute for Problems in Mechanics, Russian
Academy of Sciences
101-1 ,Vernadskii Ave., Moscow, 119526, Russia
email: rylov@ipmnet.ru
Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm
or mirror Web site: http://www.ipmnet.ru/~rylov/yrylov.htm
Updated December 16,, 2008
It is shown,
that the conventional presentation of the Maxwell equations for the
electromagnetic field in the Riemannian space-time appears to be problematic.
The reason of hesitations is the fact, that a solution of the Maxwell equations
in the space-time of Minkowski do not turn into solution of the Maxwell
equations in the Riemannian space-time after replacement of Minkowskian world
function s_M by
the world function s_R of the Riemannian
space-time in the solution.
There is
text of the paper in English (ps,pdf) and in Russian (ps, pdf)