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- Title
Jordan and Einstein Frames Hamiltonian Analysis for FLRW Brans-Dicke Theory.
- Authors
Galaverni, Matteo; Gionti S. J., Gabriele
- Abstract
We analyze the Hamiltonian equivalence between Jordan and Einstein frames considering a mini-superspace model of the flat Friedmann–Lemaître–Robertson–Walker (FLRW) Universe in the Brans–Dicke theory. Hamiltonian equations of motion are derived in the Jordan, Einstein, and anti-gravity (or anti-Newtonian) frames. We show that, when applying the Weyl (conformal) transformations to the equations of motion in the Einstein frame, we did not obtain the equations of motion in the Jordan frame. Vice-versa, we re-obtain the equations of motion in the Jordan frame by applying the anti-gravity inverse transformation to the equations of motion in the anti-gravity frame.
- Subjects
HAMILTON'S equations; EQUATIONS of motion; QUANTUM gravity; CANONICAL transformations; GENERAL relativity (Physics)
- Publication
Universe (2218-1997), 2022, Vol 8, Issue 1, p14
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe8010014