Recent content by merav

Yes... One can use g'_{0i}=\frac{\partial x^{\alpha}}{\partial x'^{0}}\frac{\partial x^{\\beta}}{\partial x'^{i}}g_{\alpha\beta}=0 so it seems we have enough PDE...

I understand that one can always construct a set Synchronous coordinates (or Gaussian normal coordinates) on a neighborhood of a point in spacetime. My question is: Does one can construct a metric with only $g_{0i}=0$ such that $dS^2=g_{00}dt^2 + g_{ij}dx^{i} dx^{j}$ (where $i=1,,,,D$ and...