<P> Liv Rundgren Tyler (born Liv Rundgren; July 1, 1977) is an American actress and former model . She is the daughter of Aerosmith's lead singer, Steven Tyler, and model Bebe Buell . </P> <P> Tyler began a career in modeling at the age of 14, but, after less than a year, she decided to focus on acting . After her film debut Silent Fall (1994), she appeared in supporting roles in Empire Records (1995), Heavy (1996) and That Thing You Do! (1996). Tyler later achieved critical recognition in the leading role in Bernardo Bertolucci's Stealing Beauty (1996), playing a teenage girl visiting her deceased mother's artist friends in Italy . She followed this by appearing in supporting roles including Inventing the Abbotts (1997) and Robert Altman's black comedy Cookie's Fortune (1999). She also appeared in Armageddon (1998), where she played the daughter of Bruce Willis's character and love interest of Ben Affleck's character . </P> <P> Tyler achieved international recognition with her portrayal of Elf maiden Arwen Undómiel in the Lord of the Rings film trilogy (2001--2003). She has appeared in an eclectic range of films, including the 2004 comedy Jersey Girl, the indie film Lonesome Jim (2005), the drama Reign Over Me (2007) and big - budget studio films such as Armageddon (1998), the home invasion horror film The Strangers (2008) and The Incredible Hulk (2008). </P> <P> In 2014, Tyler made her television debut on the HBO series The Leftovers in a regular role . </P>

Who played the elf princess in lord of the rings