Gravitational energy and momentum: A tensorial approach |
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Authors: | Noah Nissani Elhanan Leibowitz |
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Affiliation: | (1) Center for Theoretical Physics, Ben Gurion University of the Negev, 84105 Beer Sheva, Israel;(2) Department of Physics and Department of Mathematics, Ben Gurion University of the Negev, 84105 Beer Sheva, Israel |
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Abstract: | A tensorial expression for localized gravitational energy-momentum is delineated as an integral part of the energy-momentum tensor. A bona fide conservation law of the total energy-momentum tensor is obtained in the geodesic-nonrotating coordinates, in which the covariant divergencelessness of the energy-momentum tensor reads, globally, as ordinary divergencelessness. The integral gravitational energy in the exterior of a spherically symmetric source is calculated based on this tensorial relativistic expression. For an ordinary star, such as the sun, it coincides with the Newtonian value up to six digits. |
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