The first para is good, but Special and General are being confused here.
Special R gets you failure of simultaneity; different inertial frames moving at relative speed will assign different time values to different events, in a much more sophisticated manner than just a simple translation (as in the difference between time zones). The problem is not that an inertial frame fails to assign a specific time (and place) value to each event in the timespace universe - it does just that - but that it generally does not agree with other inertial frame, and _no_ frame is favoured above ("more true" than) any other frame.
General R, in addition, talks about the way time is altered in a gravity well.
The first para is good, but Special and General are being confused here.
Special R gets you failure of simultaneity; different inertial frames moving at relative speed will assign different time values to different events, in a much more sophisticated manner than just a simple translation (as in the difference between time zones). The problem is not that an inertial frame fails to assign a specific time (and place) value to each event in the timespace universe - it does just that - but that it generally does not agree with other inertial frame, and _no_ frame is favoured above ("more true" than) any other frame.
General R, in addition, talks about the way time is altered in a gravity well.