Analysis of linearized Weyl gravity via the Hamilton-Jacobi method
Alberto Escalante (Puebla U., Inst. Fis.), Victor Alberto Zavala-Perez, (Puebla U., Inst. Fis.)
TL;DR
This paper applies the Hamilton-Jacobi formalism to linearized Weyl gravity, identifying Hamiltonians, gauge symmetries, and degrees of freedom to deepen understanding of its structure in the weak-field limit.
Contribution
It provides a comprehensive Hamilton-Jacobi analysis of linearized Weyl gravity, including classification of Hamiltonians and gauge symmetries, which was not previously detailed.
Findings
Complete set of involutive Hamiltonians identified
Gauge symmetries of the theory characterized
Degrees of freedom counted in the weak-field limit
Abstract
The Hamilton-Jacobi formalism is used to analyze the Weyl theory in the weak-field limit. The complete set of involutive Hamiltonians is obtained, which are classified into involutive and non-involutive. The counting of degrees of freedom is performed. Additionally, the generalized brackets and gauge symmetries are reported.
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Taxonomy
TopicsCosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories · Atomic and Subatomic Physics Research