The Los Angeles Dodgers have been awarded a waiver claim on Red Sox first baseman Adrian Gonzalez, and there is a growing possibility that Gonzalez could be headed to L.A., multiple baseball sources said Friday. Giving up Gonzalez would represent a shocking change of direction for the Red Sox, who in December 2010 traded two of their top prospects -- first baseman Anthony Rizzo and pitcher Casey Kelly -- to acquire Gonzalez, then signed him to a seven-year, $154 million extension in April 2011.