Abstract
Hilbert and Einstein gravitational actions are compared to the Gibbons-Hawking action with the surface term. The equivalence principle is considered as an argument in favor of the choice of physical vacuum type and the choice of the action without the second derivatives of the tetrad potential, which coincides with the Hilbert action at weak Lorentz calibration of the tetrad: the co-closedness of one 1-form of the general tetrad expansion. The Gibbons-Hawking action is freed from the term artificially introduced by them, which limits its applicability in the general case.
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References
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Additional information
Original Russian Text © R.F. Polishchuk, 2008, published in Kratkie Soobshcheniya po Fizike, 2008, Vol. 35, No. 9, pp. 14–22.
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Polishchuk, R.F. More precise definition of the Gibbons-Hawking gravitational action. Bull. Lebedev Phys. Inst. 35, 264–268 (2008). https://doi.org/10.3103/S1068335608090029
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DOI: https://doi.org/10.3103/S1068335608090029