Spectral interaction between universes
High Energy Physics - Theory
2022-10-19 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Quantum Algebra
Abstract
We derive a perturbative formula for the direct interaction between two four-dimensional geometries. Based on the spectral action principle we give an explicit potential up to the third order perturbation around the flat vacua. We present the leading terms of the interaction as polynomials of the invariants of the two metrics and compare the expansion to the models of bimetric gravity.
Keywords
Cite
@article{arxiv.2201.03839,
title = {Spectral interaction between universes},
author = {Arkadiusz Bochniak and Andrzej Sitarz},
journal= {arXiv preprint arXiv:2201.03839},
year = {2022}
}