Classification of $\hat{I}›\ne 0$-vacuum algebraically special spacetimes with conformally flat $\mathcal{I}$ from Weyl tensor expansion

Marc Mars, Carlos Peón-Nieto

We introduce a general algebraic decomposition of Riemann-like and Weyl-like tensors with respect to a non-null vector $u$. We derive Gauss, Codazzi and Ricci-type identities for t…