Compactification of Higher Dimensional Spacetime with Maxwell Field

We find solutions of compactification for p + D dimensional with Einstein-Maxwell action [1, 2]. Using the same method as [3], the first solution of compactification is found by fixing null cosmological constant (Lambda = 0) in higher dimensional and that shows us the higher dimensional spacetime is Minkowski. By this compactification, we obtain de Sitter spacetime in lower dimensional with D 2 dimensional spaces is compacted into p + 2 dimensional. The solution can be written by Mp+D -> dS(p+2) x SD-2. For the second solution, we find the result by fixing Lambda not equal 0, p = 1 and D = 5. We obtain de Sitter spacetime in lower dimensional and has the negative cosmological constant in 6-dimensional which is anti de Sitter spacetime. The solution can be written by AdS(6) -> dS(3) x S-3 which means 3-dimensional spaces are compacted. For both solutions, the charge Q can be positive or negative.