English

Hamiltonian analysis for perturbative $\lambda R$ gravity

General Relativity and Quantum Cosmology 2024-04-09 v2 Mathematical Physics math.MP

Abstract

The Hamiltonian analysis for the linearized λR\lambda R gravity around the Minkowski background is performed. The first-class and second-class constraints for arbitrary values of λ\lambda are presented, and two physical degrees of freedom are reported. In addition, we remove the second-class constraints, and the generalized Dirac brackets are constructed; then, the equivalence between General Relativity and the λR\lambda R theory is shown.

Keywords

Cite

@article{arxiv.2402.02039,
  title  = {Hamiltonian analysis for perturbative $\lambda R$ gravity},
  author = {Alberto Escalante and P. Fernando Ocaña García},
  journal= {arXiv preprint arXiv:2402.02039},
  year   = {2024}
}