Space-time singularities in Weyl manifolds

Understand

We extend one of the Hawking-Penrose singularity theorems in general relativity to the case of some scalar-tensor gravity theories in which the scalar field has a geometrical character and space-time has the mathematical structure of a Weyl integrable space-time (WIST).

• We adopt an invariant formalism, so that the extended version of theorem does not depend on a particular frame.