Jordan and Einstein Frames from the perspective of $\omega=-3/2$ Hamiltonian Brans-Dicke theory

  title={Jordan and Einstein Frames from the perspective of \$\omega=-3/2\$ Hamiltonian Brans-Dicke theory},
  author={Matteo Galaverni and Gabriele Gionti S.J},
We carefully perform a Hamiltonian Dirac’s constraint analysis of ω = − 3 2 Brans-Dicke theory with Gibbons-Hawking-York (GHY) boundary term. The Poisson brackets are computed via functional derivatives. After a brief summary of the results for ω 6= − 3 2 case [1], we derive all Hamiltonian Dirac’s constraints and constraint algebra both in the Jordan and Einstein frames. Confronting and contrasting Dirac’s constraint algebra in both frames, it is shown that they are not equivalent. This… 
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