A Smolinlike branching multiverse from multiscalartensor theory
Abstract
We implement a Smolinlike branching multiverse through a directed, acyclic graph of $N$ metrics. Our gravitational and matter actions are indistinguishable from $N$ decoupled statements of General Relativity, if one varies with respect to metric degrees of freedom. We replace $N1$ metrics with scalar fields by conformally relating each metric to its unique graph predecessor. Varying with respect to the $N1$ scalar fields gives a multiscalartensor model which naturally features dark matter candidates. Building atop an argument of Chapline and Laughlin, branching is accomplished with the emergence of order parameters during gravitational collapse: we bootstrap a suitably defined $N$ scalar field model with initial data from an $N1$ field model. We focus on the nearestneighbour approximation, determine conditions for dynamical stability, and compute the equations of motion. The model features a novel screening property where the scalar fields actively adjust to decouple themselves from the stress, oscillating about the requisite values. In the Newtonian limit, these background values for the scalar fields exactly reproduce Newton's law of gravitation.
 Publication:

arXiv eprints
 Pub Date:
 September 2016
 arXiv:
 arXiv:1609.03159
 Bibcode:
 2016arXiv160903159C
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 14 pages, 1 figure