Navigability of Random Geometric Graphs in the Universe and Other Spacetimes

摘要: Random geometric graphs in hyperbolic spaces explain many common structural and dynamical properties of real networks, yet they fail to predict the correct values exponents power-law degree distributions observed networks. In that respect, random asymptotically de Sitter spacetimes, such as Lorentzian spacetime our accelerating universe, are more attractive their predictions consistent with observations Yet another important property is navigability, it remains unclear if navigable ones. Here we study navigability three manifolds corresponding universes filled only dark energy (de spacetime), matter, a mixture matter. We find these energy. This result implies that, terms spacetimes good graphs. It also establishes connection between presence discretized causal structure spacetime, which provides basis for different approach problem cosmology.