Imposing a 4-Dimensional Background on General Relativity
Abstract
It is postulated that there exists a flat background spacetime whose
increments can be directly measured by an observer, and on which local
curved spacetimes exist. To make this premise work it must also
be postulated that large spatial distances are measured by an observer
using parallax and that the solutions to the Einstein Field Equations
may be distorted to have a flat background. The mathematics of
deriving background metrics and doing distortions are discussed.
The distortion of the Schwarzschild Solution and some of its effects
are discussed, including the Schwarzschild coordinates r<=2m
being made inaccessible.
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Note:
This article contains on-line reference to the author's previous and
now-defunct web site. The material in those references has been
incorporated into the newer article Flat
background general relativity, where it has been much imprved
on. The original on-line reference are archived, and may be made
available upon request.