Abstract
Theory of gravity is considered in the Regge–Teitelboim approach in which the pseudo-Rimannian space is treated as a surface isometrically embedded in an ambient Minkowski space of higher dimension. This approach is formulated in terms of a field theory in which the original pseudo-Rimannian space is defined by the field constant-value surfaces. The symmetry properties of the proposed theory are investigated, and possible structure of the field-theoretical Lagrangian is discussed.
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Original Russian Text © A.A. Sheykin, S.A. Paston, 2015, published in Yadernaya Fizika i Inzhiniring, 2015, Vol. 6, Nos. 7–8, pp. 424–426.
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Sheykin, A.A., Paston, S.A. Field-theoretical formulation of Regge–Teitelboim gravity. Phys. Atom. Nuclei 79, 1494–1496 (2016). https://doi.org/10.1134/S1063778816100124
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DOI: https://doi.org/10.1134/S1063778816100124