New dynamical variables in Einstein’s theory of gravity
We describe an alternative formalism for Einstein’s theory of gravity. The role of dynamical variables is played by a collection of ten vector fields f μ A , A = 1,..., 10. The metric is a composite variable, g µν = f µ A f ν A . The proposed scheme may lead to further progress in a theory of gravity where Einstein’s theory is to play the role of an effective theory, with Newton’s constant appearing by introducing an anomalous Green’s function.
KeywordsEinstein theory of gravity vector fields Hamiltonian formulation
- 5.A. Salam, “Weak and electromagnetic interactions,” in: Elementary Particle Theory (Proc. Nobel Symposium, Lerum, Sweden, 1968, N. Svartholm, ed.), Almquist and Wiksell, Stockholm (1968), p. 367–377.Google Scholar
- 9.L. D. Faddeev, “New variables for the Einstein theory of gravitation,” arXiv:0911.0282v2 [hep-th] (2009).Google Scholar
- 10.L. D. Faddeev, “3+1 decomposition in the new action for the Einstein theory of gravitation,” arXiv:1003.2311v1 [gr-qc] (2010).Google Scholar