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Energy-momentum superpotentials in gravitation theoryстатья
- Авторы: Giachetta G., Sardanashvily G.
- Сборник: Gravity, Particles and Space-Time
- Редактор: Сарданашвили Геннадий Александрович
- Год издания: 1996
- Издательство: WORLD SCIENTIFIC PUBL CO PTE LTD
- Местоположение издательства: 5 TOH TUCK LINK, SINGAPORE,SINGAPORE, 596224
- Первая страница: 471
- Последняя страница: 506
- DOI: 10.1142/9789812830180_0023
- Аннотация: Our investigation of differential conservation laws in Lagrangian field theory is based on the first variational formula of the calculus of variations. If a Lagrangian density is invariant under a certain class of bundle isomorphisms, its Lie derivative by the associated vector fields vanishes and the corresponding differential conservation laws take place. If these vector fields depend on derivatives of parameters of bundle transformations, the conserved current reduces to a superpotential. This work is devoted to gravitational superpotentials in the affine-metric theory. The invariance of a gravitational Lagrangian density under general covariant transformations leads to the stress-energy-momentum conservation law where the energy-momentum flow of gravity reduces to the corresponding generalized Komar superpotential. The associated energy-momentum (pseudo) tensor can be defined and calculated on solutions of metric and affine-metric gravitational models.
- Добавил в систему: Сарданашвили Геннадий Александрович
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | a45.PDF | 3,1 МБ | 19 января 2016 [sardanashvily] |