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On a Covariant Expression of Energy-Momentum in the Relativistic Theory of Gravitation

Published inHelvetica physica acta, vol. 45, no. 4, p. 587-592
Publication date1972
Abstract

The relativistic linear formalism developed by W. Scherrer leads to a covariant expression of gravitational energy-momentum. In the case of a mass distribution with spherical symmetry (Schwarzschild's exterior solution), this tensor gives a total gravitational energy equal to-Mc2. How can the minus sign be interpreted? A detailed analysis of Schwarzschild's interior solution shows that the gravitational energy has to be considered as a generalization of the classical potential energy, which is negative in our attractive case.

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Citation (ISO format)
CHEVALIER, Jean, STUECKELBERG VON BREIDENBACH, Ernst Carl Gerlach. On a Covariant Expression of Energy-Momentum in the Relativistic Theory of Gravitation. In: Helvetica physica acta, 1972, vol. 45, n° 4, p. 587–592. doi: 10.5169/seals-114398
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ISSN of the journal0018-0238
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