English

General Relativity in two dimensions: a Hamilton-Jacobi constraint analysis

General Relativity and Quantum Cosmology 2014-11-20 v1

Abstract

We will analyze the constraint structure of the Einstein-Hilbert first-order action in two dimensions using the Hamilton-Jacobi approach. We will be able to find a set of involutive, as well as a set of non-involutive constraints. Using generalized brackets we will show how to assure integrability of the theory, to eliminate the set of non-involutive constraints, and to build the field equations.

Keywords

Cite

@article{arxiv.0911.2120,
  title  = {General Relativity in two dimensions: a Hamilton-Jacobi constraint analysis},
  author = {M. C. Bertin and B. M. Pimentel and P. J. Pompeia},
  journal= {arXiv preprint arXiv:0911.2120},
  year   = {2014}
}
R2 v1 2026-06-21T14:10:12.416Z