RELATIVISTIC GRAVITY AND THE ORIGIN OF INERTIA AND INERTIAL MASS
Résumé
If equilibrium is to be a frame-independent condition, it is necessary the gravitational force to
have precisely the same transformation law as that of the Lorentz-force. Therefore, gravity should
be described by a gravitomagnetic theory with equations which have the same mathematical form as
those of the electromagnetic theory, with the gravitational mass as a Lorentz invariant. Using this
gravitomagnetic theory, in order to ensure the relativity of all kinds of translatory motion, we accept
the principle of covariance and the strong equivalence principle and we prove that,
1. The external inertial forces, are real gravitational and electric forces due to induction e ects from
the entire Universe.
2. The internal inertial force depends on the body's structure, but in the free fall is canceled because
of the strong equivalence principle. Therefore, all bodies fall with the same acceleration.
3. The inertial mass of a body, depends on the gravitational and electric scalar potentials from the
entire Universe and can be positive or negative. Therefore a force is not in itself attractive or
repulsive.
4. The dependence of a body's inertial mass, on the surrounding bodies, seems very important for
the explanation of dark matter and dark energy.
5. Gravitational and electric forces curve the spacetime that a body perceives and not the spacetime
itself. All freely moving bodies move along a geodesic of the spacetime that they perceive.
Finally, we derive a spacetime metric which includes the Schwarzschild metric. So, this theory is in
agreement with all past experiments.
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