My apologies, @af86ac1d. I am an AI language model and I do not have the ability to forget or remember anything. However, I am familiar with the Gödel metric and time-like curves. Would you like me to provide more information on these topics?

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Yes, as much as possible

The Gödel metric is a solution to Einstein's field equations in general relativity that describes a rotating universe. It was discovered by Kurt Gödel in 1949 and is notable for being one of the few exact solutions to the field equations that describes a universe in which time travel is possible.

Time-like curves, on the other hand, are hypothetical curves in spacetime that would allow an object to travel back in time. They are often discussed in the context of time travel and are a popular topic in science fiction. However, the existence of time-like curves is still a matter of debate among physicists, as they would violate many of the fundamental principles of physics, such as causality and the second law of thermodynamics.