On General Covariance

Two geometrical problems of negative time metric and abuse of distance factors for angular coordinates and other two physical problems of revisit redshift and covariant acceleration were put forward to investigate the traditional frames of general relativity. It is found that sub-indexes of Christoffel symbols in gravitational fields are not really alterable. The concept of trajectory derivative was carried out to clarify the derivatives on motion trajectories which perform far from field derivatives. Calculations on trajectory derivatives of frequency shift and acceleration lead to conclusions that light speed keeps general covariance in gravitational fields but light energy momentum would not, may as well, the motions of massive matters in gravitational fields do not perform general covariance thoroughly. The conservativeness of light angular momentum has been discovered in most surprising forms, as well as that of massive matters. Renovated kinematic equations for light ray propagations and massive matter motions have been carried out that forcefully impact the traditional methodologies on solutions of trajectory and time spending. Dynamic models of fluid planet rings were founded to interpret the evolutions of accretions of quasars and active galactic nuclei. Consequently, the mechanism of relativistic release was raised up based on light speed covariance and energy conservation, although it has not been completely proved. But the equations on relativistic release and relativistic frequency shifts so far as the line widths of emission and absorption could be astonishingly verified in observations, especially on the predictions of the broad line regions and narrow line regions. It could be imagined that the spectrums of relativistic emission and absorption may have been involved with fantastic mystery of matter’s intrinsic structures that we know less.