Variable G within a modified theory of general relativity

Statistics – Computation

Scientific paper

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Centrifugal Force, Conservation Laws, Einstein Equations, Gravitational Constant, Relativistic Theory, Computational Astrophysics, Time Dependence, Universe

Scientific paper

The proposal of Wesson (1980) that a time-dependent gravitational constant G must be assumed in order to explain the order of magnitude of some numbers characterizing the universe introduces many objections, including the consequences that the Einstein equations would cease to be covariant and that the logical arguments that lead to the formulation of Einstein equations would be invalidated. Using a relation required for the reciprocity of rotational effects, it is shown that it is possible to formulate solutions to Einstein equations that overcome some of the objections raised against a variable G. However, it is noted that there is very little convincing observational evidence for or against a time-variable gravitational constant.

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