Spectral interaction between universes
arXiv:2201.03839 · doi:10.1088/1475-7516/2022/04/055
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.
References in corpus (12)
- Heat kernel expansion: user's manual
- Gravity coupled with matter and foundation of non-commutative geometry
- Bimetric Gravity from Ghost-free Massive Gravity
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Gravity and the standard model with neutrino mixing
- Thick brane solutions
- Cosmological Solutions in Bimetric Gravity and their Observational Tests
- Recent developments in bimetric theory
- Bimetric gravity doubly coupled to matter: theory and cosmological implications
- The Standard Model a la Connes-Lott
- On stability of Friedmann-Lemaître-Robertson-Walker solutions in doubled geometries
- On almost commutative Friedmann-Lemaître-Robertson-Walker geometries