The spacetime curvature changed by an object

[KallaNikhil]

Does the amount by which an object changes the spacetime curvature depend on relativistic mass or the rest mass? Through this question I just want to answer whether momentum equals [relativistic mass * velocity] or is it [rest mass * gamma * velocity]. Both the formulas might be the same but I think they are different conceptually

 

[Ibix]

The source term for gravity in general relativity is the stress-energy tensor.

The modern (last thirty+ years, although pop-sci hasn't caught on yet) recommendation is to forget relativistic mass. It just tends to cause confusion - such as people guessing that it's the source of gravity. It's not. Stick with mass, meaning invariant mass, and use $\gamma m$ where needed.

 

[Mister T]

Both the formulas might be the same but I think they are different conceptually

It's better to think of the momentum as $\gamma mv$ rather than calling $\gamma m$ the relativistic mass. But that's just a matter of preference.