High Quality Content by WIKIPEDIA articles! In the special theory of relativity, choice of coordinates is limited by the requirement for a special kind of spacetime metric: the Minkowski metric. In the general theory of relativity there is no such requirement so that the choice of reference frame is not limited: the three space coordinates x1, x2, x3 can take any values that define the positions of bodies in space while the time coordinate x0 can be measured by clocks with any possible adjustment. The problem thus arises how one can determine the real distances and time intervals by the values of x0, x1, x2, x3. First one must determine the true time (proper time), written by the symbol ?, with a coordinate x0. Consider two very close events that occur practically in the same point of space.

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