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Concise symplectic formulation for tetrad gravity

2020/11/30 by J. Fernando Barbero G., Bogar Díaz, Juan Margalef-Bentabol +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gauge (firearms) #Geography #Immirzi parameter #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Simple (philosophy) #Symplectic geometry #Tetrad #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1103/physrevd.103.024051

published as Physical Review D, 103 (2021) 024051 · 5 pages

arxiv created 2021/01/13 · openalex publication_date 2021/01/26 · arxiv updated 2021/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We discuss a simple symplectic formulation for tetrad gravity that leads to the real Ashtekar variables in a direct and transparent way. It also sheds light on the role of the Immirzi parameter and the time gauge.

Citations