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A Maxwell-analogous Gravitational Theory with two gravitational
fields.

By Louis Nielsen    Denmark         http://www.rostra.dk/louis

More than thirty five years ago I suggested a Maxwell-analogous
gravitational theory with two gravitational fields. The two fields are
the 'gravito-static' field of Newton and the 'gravito-magnetic' field,
which is a vector rotation-field. The two fields exist around matter
in relative motions.
In my treatise I show that the four field equations, which must be
fulfilled by the 'gravito-static' field and the 'gravito-magnetic'
field, are mathematical identical to Maxwell's electromagnetic
equations.
I show that the four field equations and the 'gravitational Lorentz-
force equation' can be derived as a consequence of:

1) The gravito-static force law of Newton,

2) The transformation equations for positions, times, velocities, and
forces as given in the special theory of relativity,

3) The assumption that the 'gravitational mass' is Lorentz invariant.

In the equations I introduce a quantity, the 'gravito-magnetic
permeability' coupled to the 'gravito- magnetic' field. The 'gravito-
magnetic permeability' has connection to the gravitational constant of
Newton and the propagation velocity of the gravitational fields
(gravitational waves).

According to my quantum-cosmological theory (see my treatise) Newton's
gravitational 'constant' is not a constant but is decreasing along
with the expansion of the Universe.
If the propagation velocity of the gravitational fields does not
change in cosmic time then it has as a consequence that also the
'gravito-magnetic permeability' is a decreasing quantity along with
the expansion of the Universe.
In our epoch the 'gravito-magnetic' fields are extremely small around
moving bodies from daily life, and they are difficult to measure. But
around massive bodies with high masses and great velocities there
exist measurable 'gravito-magnetic' fields, f.i. around neutron-stars,
quasars, black holes etc.

In earlier epochs of the cosmic evolution of the Universe the
magnitude of the 'gravito-magnetic' fields were higher. As we look
back in time to distant objects in the Universe, these objects moves
in more and more intense and strong cosmic 'gravito-magnetic' fields,
which give a lot of astrophysical consequences and which can give
explanation of different observations.

You can study my mathematical derivation of the gravitational field-
equations in part 6 of my treatise:

    http://www.rostra.dk/louis/

Comments are welcome.

Best regards
Louis Nielsen, Denmark