Per DC Comics official blog, The Source:
Coming in May, DC COMICS-THE NEW 52 “Second Wave” will literally expand the world-building efforts of the comprehensive publishing initiative. With the addition of a parallel Earth that features prominently into both EARTH 2 and WORLDS’ FINEST, the developing narrative will encompass new heroes from distinctly different backgrounds, building on the shared universe in some surprising ways.
“Mourning the death of his beloved, Superman carries both a sadness in his heart along with the weight of Earth 2′s welfare upon on his shoulders, while never showing this and seeming to all that he is this world’s peerless champion,” said EARTH 2 writer James Robinson.
“What would you have to do to teach Superman to kill?” asks EARTH 2 editor Pat McCallum. “He’s endured the loss of his home world, and now the Last Son of Krypton must weather the death of his soul mate Lois Lane. Just how far can you bend the Man of Steel before he breaks?”
Here’s a first look at the Superman of EARTH 2, designed by Jim Lee.

So this
Superman kills? Interesting.
For more Earth-2 character designs, click here:
Earth-2 Robin [Huntress]
Earth-2 Wonder Woman
Earth-2 Supergirl
Earth-2 Batman
Earth-Two is a fictional universe appearing in American comic book stories published by DC Comics. First appearing in The Flash #123 (1961), Earth-Two was created to explain how Silver-Age (Earth-One) versions of characters such as the Flash could appear in stories with their Golden Age counterparts. This Earth-Two continuity includes DC Golden Age heroes, including the Justice Society of America, whose careers began at the dawn of World War II, concurrently with their first appearances in comics. Earth-Two, along with the four other surviving Earths of the DC Multiverse, are merged into one in the 1985 miniseries Crisis on Infinite Earths.
DC Comics recently announced a new series called "Earth 2" which will take place on this version of Earth-2. Another series "World's Finest" will star the Earth 2 versions of Power Girl and the Huntress.