On a possible varying G cosmology

Statistics – Computation

Scientific paper

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Cosmology, Gauge Theory, Gravitational Constant, Computational Astrophysics, Electromagnetic Radiation, Relic Radiation, Time Dependence

Scientific paper

Starting from the scale covariant form of the field equations, a new gauge factor is derived as a certain power of the scale factor. It is argued that the gauge factor relating the atomic and gravitational time scales should for greater convergence depend on time via a function of the scale factor rather than have a direct dependence on time. The power of the scale factor to give the appropriate gauge is determined. The resulting dependence between the gravitational constant and the mass in a comoving volume gives the Mach relation. The blackbody spectrum of the microwave background radiation is preserved. A horizon-free cosmology in atomic units results where the time dependence of the scale factor is quasi-linear and agrees with the large number hypothesis for most times except near the origin, where a sudden growth of the scale factor occurs. The Einstein static solution counterpart in gravitational units is discussed.

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