Canonical description for formulation of embedding gravity as a field theory in a flat spacetime

0Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.

Abstract

We consider the approach to gravity in which four-dimensional curved spacetime is represented by a surface in a flat Minkowski space of higher dimension. After a short overview of the ideas and results of such an approach we concentrate on the study of the so-called splitting gravity, a form of this description in which constant value surface of a set of scalar fields in the ambient flat space-time defines the embedded surface. We construct a form of action which is invariant w.r.t. all symmetries of this theory. We construct the canonical formalism for splitting gravity. The resulting theory turns out to be free of constraints. However, the Hamiltonian of this theory is an implicit function of canonical variables. Finally, we discuss the path integral quantization of such a theory.

Cite

CITATION STYLE

APA

Paston, S., Semenova, E., & Sheykin, A. (2020). Canonical description for formulation of embedding gravity as a field theory in a flat spacetime. Symmetry, 12(5). https://doi.org/10.3390/SYM12050722

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free