Field-Theoretical Formulation of Regge-Teitelboim Gravity
General Relativity and Quantum Cosmology
2017-04-25 v1 High Energy Physics - Theory
Abstract
Theory of gravity is considered in the Regge-Teitelboim approach in which the pseudo-Riemannian space is treated as a surface isometrically embedded in an ambient Minkowski space of higher dimension. This approach is formulated in terms of a field theory in which the original pseudo-Rimannian space is defined by the field constant-value surfaces. The symmetry properties of the proposed theory are investigated, and possible structure of the field-theoretical Lagrangian is discussed.
Keywords
Cite
@article{arxiv.1704.06883,
title = {Field-Theoretical Formulation of Regge-Teitelboim Gravity},
author = {A. A. Sheykin and S. A. Paston},
journal= {arXiv preprint arXiv:1704.06883},
year = {2017}
}
Comments
This version contains some additions in comparison with the journal version: the derivation of the Jacobian was added