$SU(1,1)$ Barbero-like variables derived from Holst action

Autor:	Montesinos, Merced, Romero, Jorge, Escobedo, Ricardo, Celada, Mariano
Rok vydání:	2018
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics
Zdroj:	Phys. Rev. D 98, 124002 (2018)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.98.124002
Popis:	We work on a spacetime manifold foliated by timelike leaves. In this setting, we explore the solution of the second-class constraints arising during the canonical analysis of the Holst action with a cosmological constant. The solution is given in a manifestly Lorentz-covariant fashion, and the resulting canonical formulation is expressed using several sets of real variables that are related to one another by canonical transformations. By applying a gauge fixing to this formulation, we obtain a description of gravity as an $SU(1,1)$ gauge theory that resembles the Ashtekar-Barbero formulation. Comment: It matches published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.02755 Zobrazit plný text záznamu View this record from Arxiv