I have an idea for a city surrounded by a giant time dilation field which causes time to run much faster inside it (think something like the Hyperbolic Time Chamber/Room of Spirit and Time). There's a river running through this city that connects it to the ocean.
Exactly what would happen to this river once this field is established? How would the altered flow of time on either side of the field affect the flow of water? Would the river appear to dry up inside the field due to the increased flow of time relative to the normal rate at which the river deposits water outside the field, or would the river continue to flow as normal?
I'm honestly having a bit of trouble parsing the logical implications of such a field, so I was hoping someone here could help me out.