Canonical analysis for Chern-Simons modification of general relativity
Alberto Escalante, J. Aldair Pantoja-Gonzalez (Puebla U., Inst., Fis.)
TL;DR
This paper applies canonical analysis to a four-dimensional Chern-Simons modified gravity theory, detailing its degrees of freedom, symmetries, constraints, and algebraic structure.
Contribution
It provides a comprehensive canonical framework for the Chern-Simons modification of general relativity, including degrees of freedom and constraint algebra.
Findings
Identified the physical degrees of freedom in the modified theory
Detailed the symmetry structure and constraints
Developed the Dirac algebra for the theory
Abstract
By using the Gitman-Lyakhovich-Tyutin canonical analysis for higher-order theories a four-dimensional Chern-Simons modification of general relativity is analyzed. The counting of physical degrees of freedom, the symmetries, and the fundamental Dirac brackets are reported. Additionally, we report the complete structure of the constraints and its Dirac algebra is developed.
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Taxonomy
TopicsNonlinear Waves and Solitons · Black Holes and Theoretical Physics · Quantum Mechanics and Non-Hermitian Physics