Summary
The Einstein-Hilbert action is extended to include the time-dependent gravitational couplingG∞t −1. The resulting field equation requires a matter creation process inside the source; the creation rate in a homogeneous ball of perfect fluid is evaluated and the massM of the ball is found proportional tot. It is suggested that such a process could explain the well-known discrepancy betweenG∞t −1 and the Viking-lander-range data on the orbit of Planet Mars.
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References
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Massa, C. Variable gravitational coupling, mass creation and celestial mechanics. Nuovo Cim B 109, 95–97 (1994). https://doi.org/10.1007/BF02723733
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DOI: https://doi.org/10.1007/BF02723733