In the four years since Avril Lavigne's last album, "The Best Damn Thing," the Canadian pop-punk star went through a divorce. So Lavigne starts her fourth album, "Goodbye Lullaby," with . . . a plaintive ode for her new fragrance, Black Star. Consider it easing into the topic at hand, which turns out to be the songstress' most intimate and soul-baring set to date. Her usual spunk and sass appear in first single "What the Hell," but the majority of "Goodbye Lullaby" features Lavigne wading poetically into deeper emotional waters and realizing that "love hurts whether it's right or wrong." Producing two tracks by herself and aided elsewhere by Max Martin, Shellback, guitarist Evan Taubenfeld and ex-husband Deryck Whibley (of Sum 41), Lavigne surveys love lost and found amid mostly acoustic guitars, piano and strings. But it's not all dour. She's decidedly in love on several of these 14 tracks, but it will clearly take more than just another "Sk8er Boi" to rock her world in the future.