Transpose Chess is the usual chess, but the board is transposed. In this variant pawns are put on columns instead of rows, just as the board is turned 90 degrees.
Note that, kings do not face each other, because in that case, as the white queen would make a pressure on g3, this would favor white indeed.
 
All the rules in FIDE chess apply, except castling and en passant. Do not forget that white pawns go upwards, black pawns go downwards.
 
There are also some major variants of chess applied to Transpose Chess, as Extinction Chess, Kinglet Chess, Knightmate Chess etc.
 
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