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Автор H A Buchdahl
Дата выпуска 1979-08-01
dc.description The author deals with the mutual inequivalence of g-variation and P-variation of a given action S, the components of linear connection Gamma <sup>m</sup><sub>kl</sub> being required to be symmetric. Under g-variation S is required to be stationary with respect to variations of the metric tensor g<sub>ij</sub>, the Gamma <sup>m</sup><sub>kl</sub> being taken to be Christoffel symbols from the outset, whereas under P-variations the g<sub>ij</sub> and Gamma <sup>m</sup><sub>kl</sub> are initially regarded as mutually independent of S is required to be stationary with respect to independent variations of these quantities. The discussion is illustrated at length by examples in which the Lagrangian of S is one or another of a set of homogeneous or inhomogeneous quadratic invariants of the Riemann tensor.
Формат application.pdf
Издатель Institute of Physics Publishing
Название Quadratic Lagrangians and Palatini's device
Тип paper
DOI 10.1088/0305-4470/12/8/017
Print ISSN 0305-4470
Журнал Journal of Physics A: Mathematical and General
Том 12
Первая страница 1229
Последняя страница 1234
Аффилиация H A Buchdahl; Dept. of Theoretical Phys., Faculty of Sci., Australian Nat. Univ., Canberra, ACT, Australia
Выпуск 8

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