PLANE SYMMETRICAL METRICS ASSOCIATED WITH SEMI-PLANE SYMMETRICAL ELECTROMAGNETIC-FIELDS IN HIGHER DIMENSIONS

Electromagnetic fields yielding plane symmetric metrics in higher-dimensional spacetimes are exhausted and classified. It is shown that these EM fields must fall into one of the following two cases: (i) F-it = F-iz = 0, i = 1, ..., n; (ii)F-tz = 0. We give the general solution to the Einstein-Maxwell equations in higher dimensions corresponding to electromagnetic fields of case (ii) with F-it = F-iz, which covers all even-dimensional spacetimes as well as a subcase of odd-dimensional spacetimes.