Dark energy and dark matter are proposed to be, respectively, the vacuum and ground-state eigenvalues of a density operator from canonical quantum gravity, yielding accelerating Friedmann solutions under assumed low temperatures and a negative cosmological constant.
Wave and Klein-Gordon equations on hyperbolic spaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We consider the Klein--Gordon equation associated with the Laplace--Beltrami operator $\Delta$ on real hyperbolic spaces of dimension $n\!\ge\!2$; as $\Delta$ has a spectral gap, the wave equation is a particular case of our study. After a careful kernel analysis, we obtain dispersive and Strichartz estimates for a large family of admissible couples. As an application, we prove global well--posedness results for the corresponding semilinear equation with low regularity data.
fields
gr-qc 1years
2019 1verdicts
REJECT 1representative citing papers
citing papers explorer
-
Applications of canonical quantum gravity to cosmology
Dark energy and dark matter are proposed to be, respectively, the vacuum and ground-state eigenvalues of a density operator from canonical quantum gravity, yielding accelerating Friedmann solutions under assumed low temperatures and a negative cosmological constant.