On 1/3/2019 6:03 PM, [email protected] wrote:
So learn from this! The 't' in your formula above is the coordinate time, not the proper time. Learn the difference! The proper time is defined as the time kept by a perfect clock travelling on a geodesic. And a geodesic is the path along which the rate of time is constant.*If time is what is read on a clock, who, what, where, is the observer who reads coordinate time, or the clock recording coordinate time? TIA, AG *
Coordinates are just labels for events. In general there are not clocks that will agree with a given coordinate time although you can imagine sets of clocks that would define coordinates. Take a look at Ned Wright's cosmology tutorial and see how he defines different coordinate systems to elucidate different aspects of cosmology.
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