- #1
Kashmir
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In special relativity we've the invariant .
For a clock moving along a worldline the above equation reduces to , hence we can say that the time measured by the clock moving along the world line reads time dt such that which is called proper time.
Then Hartle gravity pg 126 while motivating curvature of space gives an example of geometry such that
In this space what should the proper time be? I think that for a clock moving along a worldlines the spatial differential are zero thus the proper time should be but the author says that the proper time is
.
Whats wrong with my thinking? Please help.
For a clock moving along a worldline the above equation reduces to
Then Hartle gravity pg 126 while motivating curvature of space gives an example of geometry such that
In this space what should the proper time be? I think that for a clock moving along a worldlines the spatial differential are zero thus the proper time should be
Whats wrong with my thinking? Please help.