Malament–Hogarth spacetime
A Malament–Hogarth (M-H) spacetime, named after David B. Malament and Mark Hogarth, is a relativistic spacetime that possesses the following property: there exists a worldline λ {\displaystyle \lambda } and an event p such that all events along λ {\displaystyle \lambda } are a finite interval in the past of p, but the proper time along λ {\displaystyle \lambda } is infinite. The event p is known as an M-H event.
Source: Wikipedia — Malament–Hogarth spacetime (CC BY-SA 4.0)