|
Here it is necessary to confirm that the spatial axes of D1 are those axes fixed with their zero at the centre of the gravitational source, and whose radial variable outside the source is represented in this series of papers by the parameter s. It does not mean axes attached to localised space.
For the situation external to the source, the relationship between these
axes has been established as [1] Eq(4.18). An alternative form for it can be
developed very easily starting once again from the equivalence of (3.3) and
(3.9). thus
from which a can be obtained in terms of vs as
Inserting (A.2) into [1] Eq(4.18) then gives
and s is then determined in terms of r as
which shows that the relationship between lengths on the respective axes of D1 and D0 outside the source, to be a simple relativistic one.
The comparable relationship within the source cannot exhibit any form of
discontinuity at the boundary, i.e. the surface of the source. Therefore,
this relationship must hold both at this boundary, and within the source.
Thus with ui from (3.31) re-written as
where
and if (3.9), with vis substituted for vs, is equated to
(A.5) and the above process applied, the result is
This importantly shows that si = 0 when ri = 0.
G3 Version 1.2.3
Ó
P.G.Bass, August 2009
| |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
On to the Next Section:- References Back to the Introduction to this Paper:- Generation of Time Dilatation Back to the Home Page for this Site:- Home |