2018-06-132018-06-132011PINA, Romildo; TENENBLAT, Keti. On the Ricci curvature equation and the Einstein equation for diagonal tensors. Matemática Contemporânea, Rio de Janeiro, v. 40, p. 213-226, 2011.http://repositorio.bc.ufg.br/handle/ri/15240We consider the pseudo-euclidean space (R n , g), with n ≥ 3. We provide necessary and sufficient conditions for a diagonal tensor to admit a metric ḡ, conformal to g, that solves the Ricci tensor equation or the Einstein equation. Examples of complete metrics are included.engAcesso AbertoArtigo