Arnold Schwarzenegger is one action-adventure hero who’s not afraid to hit the heights. While filming True Lies in Miami with Jamie Lee Curtis and Tom Arnold, Schwarzenegger spent at least three days in a Harrier jump jet bolted to the roof of a 20-story office building. It wasn’t until director James Cameron (Terminator 2) decided the star was getting too tan that a stunt double was summoned. When not shooting the $70 million film (due next summer), in which he battles nuclear-weapon-wielding terrorists, Schwarzenegger has caused plenty of local rubbernecking at such Miami Beach eateries as Pacific Time, where he dined with his wife Maria Shriver. While in town the couple picked up two paintings done by Brazilian artist Romero Britto (who is best known for his Absolut ads), and they are apparently thinking about buying a house in the city’s ultra-trendy Coconut Grove area, where Madonna and Sylvester Stallone already own homes.