 If we chose our spatial coordinates so that we have a locally Minkowskian metric formula_39 we know that

With these coordinate choices, we can write our Komar integral as

While we can't choose a coordinate system to make a curved space-time globally Minkowskian, the above formula provides some insight into the meaning of the Komar mass formula.Essentially, both energy and pressure contribute to the Komar mass.Furthermore, the contribution of local energy and mass to the system mass is multiplied by the local "red shift" factor formula_42

We also wish to give the general result for expressing the Komar mass as a surface integral.