General Relativity à la string: a progress report
arXiv:1612.05256
Abstract
Preliminary results on a canonical formulation of general relativity based on an analogy with the string model of elementary particles are presented. Rather than the metric components, the basic fields of the formalism are taken to be the functions describing the embedding of four dimensional spacetime in a ten or possibly higher dimensional manifold. So far, the main drawback of the formalism is that the generator of normal deformations ("fourth constraint") cannot be written down in closed form. The present approach is compared and contrasted with the usual one and with the canonical description of the relativistic string.
This is a reprint of: T. Regge and C. Teitelboim,'General Relativity à la string: a progress report,' in Proceedings of the First Marcel Grossmann Meeting (Trieste, Italy, 1975), ed. by R. Ruffini, 77 - 88, North-Holland, Amsterdam, 1977. The current name of the author Claudio Teitelboim is Claudio Bunster