Relativity and Cosmology

    

The Geodesic Principle and the Nature of Passive Mass

Authors: R. Wolnik, M. Wolnik

The geodesic principle is a central feature of general relativity, as it expresses the geometric structure of the spaceu2011time manifold, but can also be interpreted as the effective influence of the metric field on the passive mass of a freely falling test particle. - u200aThe equation of motion is obtained from the stressu2011energy tensor of an isolated body by imposing the covariant conservation condition and evaluating its moments in the nearu2011limit approximation. The reduced stressu2011energy tensor, defined in terms of the body's proper mass density, then enters the integral momentum balance, yielding a tensor equation that takes the form of the geodesic equation. Finally, a broader perspective on the weak equivalence principle is discussed.

Comments: 9 Pages.

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Submission history

[v1] 2024-12-06 19:53:39
[v2] 2025-01-25 03:33:04
[v3] 2025-07-22 19:36:58
[v4] 2025-09-26 22:56:28
[v5] 2026-04-02 21:39:16

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