Note on variational principle in bimetric relativity
โ Scribed by Nathan Rosen
- Publisher
- Elsevier Science
- Year
- 1966
- Tongue
- English
- Weight
- 226 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
โฆ Synopsis
In bimetric relativity, involving a Riemannian metric tensor gpv and a flatspace metric tensor yr., one can write down a variational principle which gives the field equations and also leads to a gravitational energy-momentum density tensor.
๐ SIMILAR VOLUMES
Two principles are basic in the variational formulations of elasticity. Green's "variation for displacements" leads to the principle of minimum potential energy, whereas Castigliano's "variation for stresses" leads to the principle of minimum complementary energy. In the small vibration of elastic b
Two, complementary, variational principles can be applied in the analysis of dynamic systems. Often it appears to be difficult to formulate a given system in terms of the so-called "complementary variational principle." In the case of a linear, finite dimensional system, however, we can always obta