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

@article{Galaverni2021JordanAE,
  title={Jordan and Einstein Frames Hamiltonian Analysis for FLRW Brans-Dicke Theory},
  author={Matteo Galaverni and Gabriele Gionti S. J.},
  journal={Universe},
  year={2021}
}
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… 

References

SHOWING 1-10 OF 34 REFERENCES
Jordan and Einstein Frames from the perspective of $\omega=-3/2$ Hamiltonian Brans-Dicke theory
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
Hamiltonian formulation of Palatini f(R) theories a la Brans-Dicke theory
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
Affine quantization of the Brans-Dicke theory: Smooth bouncing and the equivalence between the Einstein and Jordan frames
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
Anti-Newtonian Expansions and the Functional Renormalization Group
Anti-Newtonian expansions are introduced for scalar quantum field theories and classical gravity. They expand around a limiting theory that evolves only in time while the spatial points are
Pseudo)issue of the conformal frame revisited
The issue of the equivalence between Jordan and Einstein conformal frames in scalar-tensor gravity is revisited, with the emphasis on implementing running units in the latter. The lack of affine
Nonperturbative Loop Quantization of Scalar-Tensor Theories of Gravity
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
Bouncing and emergent cosmologies from ADM RG flows
The Asymptotically Safe Gravity provides a framework for the description of gravity from the trans-Planckian regime to cosmological scales. According to this scenario, the cosmological constant and
Quantum Gravity, Quantum Cosmology and Lorentzian Geometries
The first aim of this book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation is to understand whether supersymmetric theories are one-loop
Conformal Equivalence in Classical Gravity: the Example of “Veiled” General Relativity
In the theory of General Relativity, gravity is described by a metric which couples minimally to the fields representing matter. We consider here its “veiled” versions where the metric is conformally
Nonstandard Action of Diffeomorphisms and Gravity's Anti-Newtonian Limit
TLDR
A tensor calculus adapted to the Anti-Newtonian limit of Einstein gravity is developed and the limiting gravity theory can be endowed with an intrinsic Levi–Civita type notion of spatio-temporal parallel transport.
...
1
2
3
4
...