The investigation into the mysterious deaths of beloved actor Gene Hackman and his wife Betsy Arakawa at their Santa Fe, New Mexico, home 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.

Authorities say there were no signs of foul play, but the circumstances are “suspicious enough” to warrant a full investigation into the cause of death.