LONDON - The 15-year-old son of Australian rock icon Nick Cave has died after falling from a cliff in Brighton on the southern coast of England, police and the family said Wednesday. “Our son Arthur died on Tuesday evening. He was our beautiful, happy loving boy,” Cave and his wife, model Susie Bick, said in a statement issued by Sussex Police. “We ask that we be given the privacy our family needs to grieve at this difficult time.” Police said that Arthur was found with life-threatening injuries at about 6:00 pm (1700 GMT) on Tuesday after having fallen from the cliffs. “He died later that evening of his injuries in hospital. The death is not being treated as suspicious,” a spokesman said. Nick Cave grew up in southeastern Australia but moved to London with his punk band The Birthday Party in 1980. He is best known for his work with the band Nick Cave and the Bad Seeds. The 57-year-old lives in Brighton, a liberal seaside town popular with artists and musicians. Arthur had a twin brother Earl.