Coordinate time

Time coordinate in relativity theory In the theory of relativity, it is convenient to express results in terms of a spacetime coordinate system relative to an implied observer. In many coordinate systems, an event is specified by one time coordinate and three spatial coordinates. The time specified by the time coordinate is referred to as coordinate time to distinguish it from proper time. In the special case of an inertial observer in special relativity, by convention, the coordinate time at an event is equal to the proper time measured by a clock at the event's location, provided the clock is stationary relative to the observer and has been synchronized using the Einstein synchronisation convention. Coordinate time, proper time, and clock synchronization A fuller explanation of the concept of coordinate time arises from its relationship with proper time and clock synchronization. Synchronization, along with the related concept of simultaneity, requires a precise definition within general relativity because many assumptions inherent in classical mechanics regarding space and time no longer apply. Specific clock synchronization procedures defined by Albert Einstein give rise to a f