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 |