Conveners
Session I. Chronology and causality, CTS
- Sandro Coriasco (UNITo)
In this talk we will start by reviewing the structure of some model spacetimes containing closed timelike curves (CTCs) such as Misner space, and spacetimes with moving or rotating cosmic strings. In general such spacetimes contain both a chronal and non-chronal region separated by a Cauchy horizon. We give initial data for the wave equation on a partial Cauchy surface in the chronal region...
A central result within mathematical relativity is the well-posedness of the initial value formulation of GR for initial data satisfying Einstein constraint equations, where uniqueness of maximal globally hyperbolic developments of initial data is consistent with the type of determinism expected from classical physical theories. In this context, isolated gravitational systems are modelled by...
We review several recent low regularity versions of the singularity theorems of General Relativity. Following a brief recap of the classical theorems of Penrose and Hawking we focus on the analytical aspects of their proofs. In particular, we discuss focusing results for causal geodesics in the case of merely locally Lipschitz spacetime metrics and present corresponding recent extensions of...
In General Relativity, time travel is associated with the existence of closed timelike curves. Such trajectories model the history of point particles, and so in this description, the body travelling into its own past is devoid of any structure. In order to begin the process of describing time-travelling extended bodies, we consider the motion of gyroscopes and spinning particles along closed...