AAWSAP DIRD, Negative Mass Propulsion, January 2011

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Inserting (3-6) into Einstein's nonlinear gravitational field equations, one obtains four
nonlinear partial differential equations ( K =S;r y / c4 ) given by
(7)
(8)
(9)
arp arp
aa
- K T. p =2-- - r­ .
(10)
-
awoa%
a%
I n solving these equations Bondi assumes that <p is small, which then also implies that
because of (5) and (6) cr is small by the second order, reducing the solution of the
problem to the linear Laplace equation of the scalar Newtonian potential in empty space.
Making this assumption, Bondi can reproduce the uniform acceleration of the mass
dipole, as it is expected from an elementary analysis. It is here that we must disagree
with Bondi1 , because it can be shown that the nonlinearity of the gravitational field
equation leads to a very different result. The nonlinearity also sheds light on why it is
so difficult to separate negative from positive masses, whereby negative masses are all
around us, but imprisoned by positive masses.
1 The author had the pleasure to meet Prof. Bondi on a common flight from Graz,
Austria in 1993 (we both are members of an academy which had a meeting in that
year in Graz), and ask him how his solution can be correct since it does not include
the field of the positive gravitational field mass of a mass dipole. This problem will
be analyzed in the next section, and its solution has far reaching consequences.
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