The Reduced Phase Space of Palatini–Cartan–Holst Theory

2017/07/31 by Alberto S. Cattaneo, Michele Schiavina
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Gauge theory #General relativity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Phase (matter) #Philosophy #Physics #Quantum mechanics #Space (punctuation) #Theoretical physics #gr-qc #math-ph #math.MP #math.SG #msc:70S99 #msc:83C05 #msc:83C47

paper · pdf · doi:10.1007/s00023-018-0733-z

published as Annales Henri Poincare, February 2019, Volume 20, Issue 2, pp 445-480 · Revised version comprising new results, a correction of Th 4.22 and the arguments leading to it. Manuscript accepted for publication in AHP. 31 pages

arxiv created 2018/09/15 · openalex publication_date 2018/10/17 · arxiv updated 2019/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

General relativity in four dimensions can be reformulated as a gauge theory, referred to as Palatini–Cartan–Holst theory. This paper describes its reduced phase space using a geometric method due to Kijowski and Tulczyjew and its relation to that of the Einstein–Hilbert approach.

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