On the Foundations of Relativistic Energy Mechanics.

by Dominic G. B. Edelen

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An attempt to lay the foundations for a mechanics of relativistic energy. The Einstein theory of general relativity is shown to yield a general mechanics of continuous media under the assumption that the momentum-energy tensor admits a unique time-like eigenvector. Physical interpretations of the governing equations are derived, together with constitutive relations for general and isotropic materials. It turns out that the mechanics can always be viewed as describing the flow of rest-energy. Invariant requirements for the existence of a stress potential are obtained, the satisfaction of which leads to a decomposition and partial evaluation of the rest-energy. The Einstein field equations are shown to imply the existence and uniqueness of an intrinsic energy density for any material medium (intrinsic immutable mass). The usual procedure of adding conditions to the Einstein theory in order to obtain an analogous intrinsic quantity is thus unnecessary. 37 pp.

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