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

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arxiv 2110.12222 v2 pith:TUSSRZK5 submitted 2021-10-23 gr-qc astro-ph.COhep-th

Matteo Galaverni , Gabriele Gionti S.J. This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords frameshamiltonianconstraintdiraceinsteinjordanomegaalgebra
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abstract

We carefully perform a Hamiltonian Dirac's constraint analysis of $\omega=-\frac{3}{2}$ 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 $\omega\neq-\frac{3}{2}$ case, 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 highlights the transformations from the Jordan to the Einstein frames are not Hamiltonian canonical transformations.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Canonical Clock Sectors and Relational Frame Equivalence in Brans--Dicke Theory

    gr-qc 2026-07 accept novelty 6.0 of 10

    Apparent Jordan–Einstein inequivalence after relational deparametrization is a clock-sector mismatch; a frame-adapted canonical chart restores identical reduced Hamiltonians.

  2. Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD

    hep-th 2024-11 conditional novelty 5.0 of 10

    In a holographic QCD model, chaotic string dynamics appear only for unstable configurations near the horizon, and magnetic field and chemical potential affect chaos oppositely in string and Einstein frames.

  3. Aspects of Geometrodynamics in the Jordan and Einstein Frames

    gr-qc 2025-05 conditional novelty 2.0 of 10

    The Jordan and Einstein frames are connected by a Hamiltonian canonical transformation only after gauge-fixing lapse and shift, and this maps the FJNW naked singularity to the BBMB black hole.

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