# more tensor contractions

08 May 2019can you carry out a contraction of the entire field equation \(G_{\mu\nu} =\kappa T_{\mu\nu} + \Lambda g_{\mu\nu}\) with the metric tensor \(g^{\mu\nu}\) for an ideal relativistic fluid with energy-momentum \(T_{\mu\nu}\)? is there a generalisation for a scalar field?