Relativistic Gravity and the Origin of Inertia and Inertial Mass: An important topic for the explanation of dark matter and dark energy
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 equivalence principle and thus we prove that,
1. The external inertial force, perceived by an accelerating body, is real gravitational force due to
induction effects from the entire Universe.
2. The internal inertial force, depends on the body's internal structure, but in a free fall it is
canceled because of the equivalence principle and the body experiences only the external inertial
force. That is why all bodies, fall with the same acceleration.
3. The inertial mass of a body depends on the distribution of matter in the Universe and this seems
very important for the explanation of dark matter and dark energy.
4. The gravitational field affects the spacetime metric and all the freely moving bodies follow geodesic
of the metric.
5. We can obtain the Schwarzschild metric and thus, the new theory is in agreement with all past
experiments and observations.
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