Causal relationship: a new tool for the causal characterization of Lorentzian manifolds
Causal relationship: a new tool for the causal characterization of Lorentzian manifolds
We define and study a new kind of relation between two diffeomorphic Lorentzian manifolds called a causal relation, which is any diffeomorphism characterized by mapping every causal vector of the first manifold onto a causal vector of the second. We perform a thorough study of the mathematical properties of causal …