Abstract
The field theoretical description of the general relativity (GR) is further developed. We have succeeded in constructing a gravitational energymomentum tensor which is 1) derivable from the Lagrangian in a regular prescribed way, 2) tensor under arbitrary coordinate transformations, 3) symmetric in its components, 4) conserved due to the equations of motionderived from the same Lagrangian, 5) free of the second (highest) derivatives of the field variables, and 6) is unique up to trivial modifications not containing the field variables. There is nothing else in addition to these six conditions that onecoulddemand from the energy-momentum tensor fully acceptableon physical and mathematical ground. This contribution is basedon the work [1].
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Grishchuk, L., Babak, S. (2001). Gravitational Field and Its Energy-Momentum Tensor. In: Sánchez, N.G. (eds) Current Topics in Astrofundamental Physics: The Cosmic Microwave Background. NATO Science Series, vol 562. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0748-1_7
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DOI: https://doi.org/10.1007/978-94-010-0748-1_7
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