On the analytic expression that must be given to the gravitational tensor in Einstein's theory

T. Levi-Civita

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On the analytic expression that must be given to the gravitational tensor in Einstein's theory

T. Levi-Civita

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Abstract

Foreword. While most textbooks of general relativity and research articles discuss at length the relative merits of the pseudo tensors proposed by Einstein and by other authors for representing the energy of the gravitational field, Levi Civita's definition of a true gravitational energy tensor has succumbed to the authority of Einstein and is nearly forgotten. It seems however worthy of a careful re-examination, due to its unquestionable logical soundness and to the unique manner of propagation for gravitational energy that it entails.

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T. Levi-Civita. 1999-06-02. On the analytic expression that must be given to the gravitational tensor in Einstein's theory. https://arxiv.org/abs/physics/9906004

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