Abstract
The Israel equations for thin shells in General Relativity are derived directly from the least action principle. The method is elaborated for obtaining the equations for double layers in quadratic gravity from the least action principle.
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REFERENCES
W. Israel, “Singular hypersurfaces and thin shells in general relativity,” Il Nuovo Cim. B 44, 1–14 (1966).
J. M. M. Senovilla, “Double layers in gravity theories,” J. Phys. Conf. Ser. 600, 012004; arXiv:1410.5650 [gr-qc]. (2015).
V. Berezin, V. Dokuchaev, and Yu. Eroshenko, “On the theory of spherically symmetric thin shells in conformal gravity,” Intern. J. Mod. Phys. D 27, 1841012; arXiv: 1710.10438 [gr-qc] (2018).
V. Berezin, V. Dokuchaev, Yu. Eroshenko, and A. Smirnov, “Least action principle and gravitational double layer,” arXiv:1909.06405 [gr-qc] (2019).
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The paper was supported by the Russian Foundation for Basic Research, project no. 18-52-15 001-NCNIa.
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Translated by N. Semenova
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Berezin, V.A., Dokuchaev, V.Y., Eroshenko, Y.N. et al. Double Layer in the Quadratic Gravity and the Least Action Principle. Phys. Part. Nuclei 51, 730–734 (2020). https://doi.org/10.1134/S1063779620040139
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DOI: https://doi.org/10.1134/S1063779620040139