Jordan and Einstein frames Hamiltonian analysis for FLRW Brans-Dicke theory
Abstract
We analyze Hamiltonian equivalence between Jordan and Einstein frames considering a mini-superspace model of flat Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe in Brans-Dicke theory. Hamiltonian equations of motion are derived in the Jordan, Einstein, and in the anti-gravity (or anti-Newtonian) frames. We show that applying the Weyl (conformal) transformations to the equations of motion in the Einstein frame we did not get the equations of motion in the Jordan frame. Vice-versa, we re-obtain the equations of motion in the Jordan frame applying the anti-gravity inverse transformation to the equation of motion in the anti-gravity frame.
Keywords
Cite
@article{arxiv.2112.02098,
title = {Jordan and Einstein frames Hamiltonian analysis for FLRW Brans-Dicke theory},
author = {Matteo Galaverni and Gabriele Gionti and S. J.},
journal= {arXiv preprint arXiv:2112.02098},
year = {2023}
}
Comments
"The Quantum & The Gravity" conference proceedings, minors changes added, matches published version in Universe