Jordan and Einstein Frames Hamiltonian Analysis for FLRW Brans-Dicke Theory

  title={Jordan and Einstein Frames Hamiltonian Analysis for FLRW Brans-Dicke Theory},
  author={Matteo Galaverni and Gabriele Gionti S. J.},
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… 


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