Abelian Ashtekar formulation from the ADM action

DOI10.1142/S0218271814500473zbMath1291.83024arXiv1304.0778MaRDI QIDQ5167975

Lorenzo Leal, E. Contreras

Publication date: 3 July 2014

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0778

zbMATH Keywords

linearized gravitygeometric representationsAshtekar formulation

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Exact solutions to problems in general relativity and gravitational theory (83C15)

Cites Work

• Duality invariance of all free bosonic and fermionic gauge fields
• Different canonical formulations of Einstein's theory of gravity
• Consistent and mimetic discretizations in general relativity
• Magnetic monopole in the loop representation
• Duality and integrability: Electromagnetism, linearized gravity, and massless higher spin gauge fields as bi-Hamiltonian systems
• LINEARIZED GRAVITY AS A GAUGE THEORY
• Background independent quantum gravity: a status report
• General Relativity

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