Pseudo focal points along Lorentzian geodesics and Morse index

Miguel Angel Javaloyes, Antonio Masiello, Paolo Piccione

Given a Lorentzian manifold $(M,g)$, a geodesic $\gamma$ in $M$ and a timelike Jacobi field $\mathcal{Y}$ along $\gamma$, we introduce a special class of instants along $\gamma$ that we call $\mat…