• Corpus ID: 239769007

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

@inproceedings{Galaverni2021JordanAE,
title={Jordan and Einstein Frames from the perspective of \$\omega=-3/2\$ Hamiltonian Brans-Dicke theory},
author={Matteo Galaverni and Gabriele Gionti S.J},
year={2021}
}
• Published 23 October 2021
• Physics
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…
1 Citations

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## References

SHOWING 1-10 OF 67 REFERENCES
Hamiltonian formulation of Palatini f(R) theories a la Brans-Dicke theory
• Physics, Mathematics
• 2011
We study the Hamiltonian formulation of f(R) theories of gravity both in metric and in Palatini formalism using their classical equivalence with Brans-Dicke theories with a nontrivial potential. The
Dirac–Bergmann constraints in physics: Singular Lagrangians, Hamiltonian constraints and the second Noether theorem
• L. Lusanna
• Physics, Mathematics
International Journal of Geometric Methods in Modern Physics
• 2018
There is a review of the main mathematical properties of system described by singular Lagrangians and requiring Dirac–Bergmann theory of constraints at the Hamiltonian level. The following aspects
Jordan-Brans-Dicke Quantum Wormholes and Coleman's Mechanism
• Physics
• 1993
Abstract We consider the quantum gravity and cosmology of a Jordan-Brans-Dicke theory, predicted by string effective actions. We study its canonical formalism and find that the constraint algebra is
Affine quantization of the Brans-Dicke theory: Smooth bouncing and the equivalence between the Einstein and Jordan frames
• Physics
Physical Review D
• 2019
In this work, we present a complete analysis of the quantisation of the classical Brans-Dicke Theory using the method of affine quantisation in the Hamiltonian description of the theory. The affine
Quantum Equivalence of $f(R)$ Gravity and Scalar-tensor Theories in the Jordan and Einstein Frames
The $f(R)$ gravity and scalar-tensor theory are known to be equivalent at the classical level. We study if this equivalence is valid at the quantum level. There are two descriptions of the
Question of quantum equivalence between Jordan frame and Einstein frame
• Physics
• 2015
In the framework of a general scalar-tensor theory, we investigate the equivalence between two different parametrizations of fields that are commonly used in cosmology - the so-called Jordan frame
Brans–Dicke theory in the local potential approximation
• Physics
• 2014
We study the Brans–Dicke theory with arbitrary potential within a functional renormalization group framework. Motivated by the asymptotic safety scenario of quantum gravity and by the well-known
Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
• Physics
• 2016
We study the relation between the Jordan-Einstein frame transition and the possible description of the crossing of singularities in flat Friedmann universes, using the fact that the regular evolution
Nonperturbative Loop Quantization of Scalar-Tensor Theories of Gravity
• Physics, Mathematics
• 2011
The Hamiltonian formulation of scalar-tensor theories of gravity is derived from their Lagrangian formulation by Hamiltonian analysis. The Hamiltonian formalism marks off two sectors of the theories
Fresh look at the scalar-tensor theory of gravity in Jordan and Einstein frames from undiscussed standpoints
• Physics
• 2017
We study the scalar-tensor theory of gravity profoundly in the action level as well as in the thermodynamic level. Contrary to the usual description in the literature about the equivalence in the two