# conservation in gravity

09 May 2018Einstein’s field equation \(G_{\mu\nu}=8\pi G / c^4\:T_{\mu\nu}\) (neglecting the cosmological constant \(\Lambda\) for a second) is energy momentum conserving, \(\nabla_\mu T^{\mu\nu} = \nabla_\mu G^{\mu\nu} = 0\). what’s left from this relation in the Poisson equation?