arXiv subjects

Victor Julian Pérez-Aquino

Publications and source records attributed to Victor Julian Pérez-Aquino.

2 recordsLinked to original sources

arXiv2026

Canonical and symplectic analysis of the Holst action in the $G\rightarrow 0$ limit

By using the Dirac and symplectic formalisms, the analysis of the Holst action in the $G \rightarrow 0$ limit is performed. We study the theory's full canonical structure and symmetries. In particular, we focus on the cases $γ= i$ and $γ\neq i$, aiming to obtain Smolin's auto-self-dual model in terms of the Ashtekar variables and a Barbero-type formulation. We then perform the symplectic analysis and discuss the principal insight of these formalisms.

math-ph↗

arXiv2024

Canonical analysis of linearized $λR$ gravity plus a Chern-Simons term

The Hamiltonian analysis for the linearized $λR$ gravity plus a Chern-Simons term is performed. The first-class and second-class constraints for arbitrary values of $λ$ are presented, and one physical degree of freedom is reported. The second-class constraints are removed, and the corresponding generalized Dirac brackets are constructed; then, the difference between theories with different values of $λ$ is remarked.

gr-qc↗