A rodent, specifically a rat that is owned by a father or dad figure that is usually kept hidden or in secret for sucking or suckling purposes. It is common that said rat is covered in some sort of sewer sludge or feces for "flavor" enhancements.
The big rat that lives in my home. His name is "Big Jerry." Big Jerry is not his birth given name, he earned it through sweat and blood. It's been two weeks with him living here, I now fear for my life. "Big rat" can also be used as a metaphor for a big problem.
"I live in a perpetual state of darkness."
"Sounds like you've got The big rat!"