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GT4 - Inertial Forces, Optical Metrics and Particle Motion Properties

Speaker_

Mitskievich, Nikolai V.

 Talk_

Relativistic generalization of the inertial and gravitational masses equivalence principle

Abstract_

Usually the equivalence principle is established from Einstein's theory with assumptions of both non-relativistic and weak field approximations. However some gravitating systems do not admit non-relativistic approximation, e.g. electromagnetic fields' stress-energy tensor always has zero trace. Thus, dismissing the non-relativistic character of the source and retaining it only for bodies moving in the source's field, we come from Einstein's equations to different relations between inertial and gravitating masses of sources (doubling and quadrupling the gravitational mass for electromagnetic source and stiff matter, respectively). Some physical consequences are discussed. 

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