General Relativity and Flat Space. I

N. Rosen
Phys. Rev. 57, 147 – Published 15 January 1940
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Abstract

Within the framework of the general theory of relativity, it is proposed to introduce at each point of space-time a Euclidean metric tensor γμν in addition to the usual Riemannian metric tensor gμν. In this way one imparts tensor character to quantities which in the usual form of the theory do not have it. For example, one can obtain a gravitational energy-momentum density tensor in place of the usual pseudo-tensor. Furthermore one can impose four additional covariant conditions on the gravitational field and thus restrict the form of the solution for the field corresponding to a given physical situation.

  • Received 30 October 1939

DOI:https://doi.org/10.1103/PhysRev.57.147

©1940 American Physical Society

Authors & Affiliations

N. Rosen

  • Massachusetts Institute of Technology, Cambridge, Massachusetts

See Also

General Relativity and Flat Space. II

N. Rosen
Phys. Rev. 57, 150 (1940)

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Vol. 57, Iss. 2 — January 1940

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