The authorities investigating the death of 27-year-old Odin Lloyd apparently rested on Sunday. On Monday, they’re back at it.

According to Kathryn Sotnik of NECN, police are preparing to enter a body of water near the home of Patriots tight end Aaron Hernandez.

The most obvious source for speculation is that they’re searching for the gun that was used to shoot Lloyd. If so, it’s unknown whether the police have reason to think the gun is there, or whether they are just being thorough.

On that point, keep this in mind. In the Pilot Flying J investigation, prosecutors quietly are securing guilty pleas and commitments to cooperate from lower-level executives as they work their way up the ladder to “senior management.” In this case, there are two other men who possibly have decided to save their own skin and rat out Hernandez.

That’s where the reports of an arrest warrant, repeated visits to his house, and constant media scrutiny can help the police. It has become virtually impossible for Hernandez to have face-to-face meetings with the other two men, making it difficult for them to get their stories straight. And since the other two men apparently aren’t subject to round-the-clock media surveillance, for all anyone knows they’ve decided to cut a deal and let the police focus on the biggest fish in the bowl.

Either way, if the police emerge from that water with a handgun, it will be the biggest development in the case to date.