The investigation into the mysterious deaths of actor Gene Hackman and his wife, Betsy Arakawa, at their home in Santa Fe, New Mexico, entered its third day Friday with more looming questions than answers.

Hackman and his wife, Betsy Arakawa, apparently had been dead for days or even a couple of weeks when investigators found their bodies while searching the couple's Santa Fe home on Wednesday. Investigators are trying to figure out the last time anyone saw or spoke to them, Santa Fe County Sheriff Adan Mendoza told NBC's “Today” show on Friday.

No cause of death has been determined so far for Gene Hackman and Betsy Arakawa, but New Mexico police say the situation “remains an open investigation.” With affidavits, search warrants and statements calling the death of the two-time Oscar winner,