Is the Stress-Energy tensor invariant in all RFs? If not (which is highly probable) how does it change?
EDIT: does the Einstein equation help? Since (without $\Lambda$) $$ R_{\alpha\beta} -\frac{1}{2}Rg_{\alpha\beta}= kT_{\alpha\beta} $$
and since the metric depends on the coordinate system, is this the connection?