Authors: Andrew Thomas Holster
The Schwarzschild metric is for a spherical static central mass, and is the simplest solution in General Relativity (GTR). But here we introduce an alternative spherical metric, which we call the K-metric, and argue that it may be considered as a possible alternative metric law, and should be empirically tested. It is the analytic continuation of the Schwarzschild metric, and the two are almost indistinguishable in the solar system. But they have different forms, they can be tested in the solar system, and the result has strong consequences for black holes and cosmology. We first show the K-metric is a consistent GTR metric, deriving the stress-energy tensor to produce it, working backwards through the GTR equation to find the mass distribution. We then observe that this can be taken as an alternative “gravitational tensor”, in which “gravitational mass” is dispersed around the inertial mass of a particle. This gives an alternative theory of gravity, with a linear superposition principle for fields, which we briefly outline. We then describe how a test may be carried out. The main point is that this appears as the natural solution for gravity for a class of models in which gravity is produced as a scale-symmetric continuous spatial distortion, without discontinuities. The proposition is that this represents a plausible testable variation of GTR, and is perhaps the most radical variation that remains untested today.
Comments: 36 Pages. (Minor additions to the original.)
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[v1] 2017-12-18 01:03:16
[v2] 2021-10-30 16:40:19
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