New Space-Time Metric, Four Tests of Gravitational Theory, and Newton's Law of Gravitation

摘要

In this article it is shown that a new space-time metric can be derived from thehypothesis of locality, the assumption of local space isotropy, and the assumptionof minimum energy stored in the gravitational field. The new coordinate space-time metric and the corresponding Christoffel symbols and Riemann, Ricci, andEinstein tensors are derived as functions of the physical rather than the coordi-nate distance, with different metric line elements defined for the physical and co-ordinate metrics. This leads to an extension of the coordinate space-time metricbeyond the classical black-hole event horizon without any coordinate pathologyat the Schwarzschild radius. The derived coordinate space-time metric is thenused to obtain the formulas for the well-known four tests of general relativity the-ory: the perihelion advance, the gravitational redshift, the deflection of light bythe Sun, and the Shapiro delay. The new formulas and the results they provide arethen compared with the standard versions and it is found that excellent agreementwith the most recent data and observations is obtained. Subtle differences fromthe standard formulas and observations are also discussed in detail. Finally, fromthe new metric it is also possible to derive Newton's law of gravitation and drawseveral other interesting conclusions.