New dynamical variables in Einstein's theory of gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 3, pp. 323-335
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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 $f_{\mu}^A$, $A=1,\dots,10$. The metric is a composite variable, $g_{\mu\nu}=f_{\mu}^Af_{\nu}^A$. 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.
Keywords:
Einstein theory of gravity, vector fields, Hamiltonian formulation.
@article{TMF_2011_166_3_a0,
author = {L. D. Faddeev},
title = {New dynamical variables in {Einstein's} theory of gravity},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {323--335},
publisher = {mathdoc},
volume = {166},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_3_a0/}
}
L. D. Faddeev. New dynamical variables in Einstein's theory of gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 3, pp. 323-335. http://geodesic.mathdoc.fr/item/TMF_2011_166_3_a0/