Let (M,g) be a riemannian manifold. I define an element in the Clifford algebra:
˜R(X)=∑i,jei.ej.R(X,ei)ej
where R∈Λ2(TM)⊗End(TM) is the Riemannian curvature. The Clifford-Einstein equations are:
˜R(X)=λX
Can we solve the Clifford-Einstein equations for black holes?