You are right, there is no difference. As a matter of fact, many physicists work with a signature of (+,-,-,-) to describe the spacetime of our universe. http

You are right, there is no difference. As a matter of fact, many physicists work with a signature of (+,-,-,-) to describe the spacetime of our universe. https://en.wikipedia.org/wiki/Sign_convention#Relativity https://en.wikipedia.org/wiki/Sign_convention#Relativity