Euclidean self-dual gravity: Ashtekar variables without gauge fixing

Autor:	G., J. Fernando Barbero, Basquens, Marc, Villaseñor, Eduardo J. S.
Rok vydání:	2023
Předmět:	General Relativity and Quantum Cosmology
Zdroj:	Physical Review D, 109 (2024) 064047
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.109.064047
Popis:	The Gotay-Nester-Hinds method is used in this paper to study the Hamiltonian formulation of the Euclidean self-dual action. This action can be used to arrive at the complex Ashtekar formulation of General Relativity or a real connection formulation for Euclidean General Relativity. The main result of the paper is a derivation of the Ashtekar formulation for Euclidean gravity without using any gauge fixing. It is interesting to compare this derivation with the one corresponding to the Holst action. In particular it is worth noting that no "tertiary" constraints appear in the case considered in the present paper. Comment: 29 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.12947 Zobrazit plný text záznamu View this record from Arxiv