Relativistic generalization of the inertial and gravitational masses equivalence principle

Details Relativistic generalization of the inertial and gravitational masses equivalence principle Relativistic generalization of the inertial and gravitational masses equivalence principle

2006-11-03

arxiv.org/abs/gr-qc/0611017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, a talk delivered at the 11th Marcel Grossmann Meeting (Session GT4), Berlin, 2006

Scientific paper

The Newtonian approximation for the gravitational field equation should not necessarily involve admission of non-relativistic properties of the source terms in Einstein's equations: it is sufficient to merely consider the weak-field condition for gravitational field. When a source has electromagnetic nature, one simply {\em cannot} ignore its intrinsically relativistic properties, since there cannot be invented any non-relativistic approximation which would describe electromagnetic stress-energy tensor adequately, even at large distances where the fields become naturally weak. But the test particle on which gravitational field is acting, should be treated as non-relativistic (this premise is required for introduction of the Newtonian potential $\Phi_{\rm N}$ from the geodesic equation).

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