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arXiv · 1309.6157

Spherically symmetric Jordan-Brans-Dicke quantum gravity with de Broglie Bohm pilot wave perspective

Hossein Ghaffarnejad
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Abstract

We obtain two dimensional analogue of the Jordan-Brans-Dicke (JBD) gravity action described in four dimensional spherically symmetric curved space time metric. There will be two scalar fields, namely, the Brans Dicke (BD) $ϕ$ and scale factor of 2-sphere part of the space time $ψ.$ We obtained suitable duality transformations between $(ψ,ϕ)$ and $(ρ,S)$ where $ρ$ and $S$ is respectively amplitude and phase part of the corresponding de Broglie pilot wave function $Ψ(ρ,S)=\sqrtρe^{iS}.$ Covariant conservation of mass-energy current density of particles ensemble $J_a=ρ\partial_aS,$ is established by applying a particular dynamical conformal frame described by $(ρ,S).$

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Hossein Ghaffarnejad. 2014-01-24. Spherically symmetric Jordan-Brans-Dicke quantum gravity with de Broglie Bohm pilot wave perspective. https://doi.org/10.1007/s10773-014-2059-z

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