His name is Luke Skywalker because Darth Vader is really Anakin Skywalker.
Luke Skywalker!
His actual name is Luke Skywalker. He is usually called Luke.
Mara Jade Skywalker gave birth the Ben Skywalker, Luke's son, in the novel Rebirth, from the New Jedi Order. Neither Luke nor Ben Skywalker (Luke and Mara's son) are dead...
Luke. Search your feelings, you know it to be true.
Luke Skywalker
In the books he did have a son. There is no reason to believe a son will be introduced in the films.
Luke Skywalker is married to former Emporor's Hand Mara Jade. They have a son named Ben, after Obi-Wan Kenobi.
Luke's son, Ben Skywalker, did not turn to the dark side. Despite the fact he and Luke's wife Mara Jade are not in the films, they appear in the novels and graphic novels that fill the timeline after "Return of the Jedi."
No. Luke Skywalker is a fictional character.
Luke Skywalker (Darth Vader's (Anakin Skywalker's Sith alter-ego) son).
He is Luke Skywalker's son and is not featured in the 6 STAR WARS films. He is in the STAR WARS books.