F. Cardone, R. Mignani


We carry out a detailed analysis of the data on the comparison of clock rates between a flying clock and a clock at ground, performed by Alley and co-workers at the end of 1970’s.
The fit to such data is in favor of an energy-dependent metric for gravitation, whose time coefficient is at variance with the standard Einsteinian one in the weak-field approximation.
By exploiting the formalism of a deformed Minkowski space-time, with metric coefficients dependent on the energy, we show that a possible lower limit on the propagation speed of gravitational effects is about 1010c, in agreement with a recent analysis by Van Flandern based on the acceleration of binary systems.

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International Journal of Modern Physics A, 14, 24, 3799 (1999)