What Units Should Be Used for the Left Half of the GR Equation?

[snoopies622]

What are the appropriate units for the left half of the GR equation? Meters? square meters..? To put it another way, what exactly is being quantified?

 

[Mentz114]

The same as the right hand side, $$\kappa T^{\mu\nu}$$

 

[Ich]

It's a measurement of curvature, in $$m^{-2}$$.

 

[snoopies622]

Thanks, Ich. That's the answer I was looking for.

 

[Ich]

I guess Mentz114 just wanted to motivate you to find it out yourself. It's not difficult.

 

[pervect]

Note that Ich's answer assumes that geometric units are being used, which is very common, but perhaps not quite universal.

 

[Ich]

Note that Ich's answer assumes that geometric units are being used, which is very common, but perhaps not quite universal.

I double-checked and found the units to be SI-consistent, as long as T is measured in J/m³.