Evolution of a periodic eight-black-hole lattice in numerical relativity

Abstract

The idea of black-hole lattices as models for the large-scale structure of the universe has been under scrutiny for several decades, and some of the properties of these systems have been elucidated recently in the context of the problem of cosmological backreaction. The complete, three-dimensional and fully relativistic evolution of these system has, however, never been tackled. We explicitly construct the first of these solutions by numerically integrating Einstein's equation in the case of an eight-black-hole lattice with the topology of S3.

21 pages, 13 figures. Corrected and clarified discussion

References in corpus (4)

• Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology
• Inhomogeneous cosmological models: exact solutions and their applications
• What is dust? - Physical foundations of the averaging problem in cosmology
• Isolated and dynamical horizons from a common perspective

Cited by in corpus (57)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Effects of nonlinear inhomogeneity on the cosmic expansion with numerical relativity
• Departures from the FLRW Cosmological Model in an Inhomogeneous Universe: A Numerical Examination
• Exploring New Physics Frontiers Through Numerical Relativity
• The numerical relativity breakthrough for binary black holes
• Black Hole Universe: Time Evolution
• Integration of inhomogeneous cosmological spacetimes in the BSSN formalism
• On the absence of the usual weak-field limit, and the impossibility of embedding some known solutions for isolated masses in cosmologies with f(R) dark energy
• Evolution of a family of expanding cubic black-hole lattices in numerical relativity
• Black Hole Universe with $\Lambda$
• Safely smoothing spacetime: backreaction in relativistic cosmological simulations
• Parameterized Post-Newtonian Cosmology
• Exact Evolution of Discrete Relativistic Cosmological Models
• Comparing Fully General Relativistic and Newtonian Calculations of Structure Formation
• Backreaction and continuum limit in a closed universe filled with black holes
• Geometric optics in general relativity using bilocal operators
• Inhomogeneous cosmology and backreaction: Current status and future prospects
• Curvature Invariants and Lower Dimensional Black Hole Horizons
• Post-Newtonian Cosmological Modelling
• Persistent Black Holes in Bouncing Cosmologies
• Light propagation through black-hole lattices
• Black-Hole Lattices as Cosmological Models
• Solving the Einstein constraints in periodic spaces with a multigrid approach
• Back-Reaction in Relativistic Cosmology
• Ray tracing and Hubble diagrams in post-Newtonian cosmology
• Cosmological backreaction in the presence of radiation and a cosmological constant
• Piecewise Silence in Discrete Cosmological Models
• On the vacuum Einstein equations along curves with a discrete local rotational and reflection symmetry
• Backreaction and FRW consistency conditions
• The Lindquist-Wheeler formulation of lattice universes
• Regge calculus models of closed lattice universes
• Numerical solutions to Einstein's equations in a shearing-dust Universe: a code comparison
• The Magnetic Part of the Weyl Tensor, and the Expansion of Discrete Universes
• CMB seen through random Swiss Cheese
• General Relativistic Cosmological N-body Simulations I: time integration
• Exact Initial Data for Black Hole Universes with a Cosmological Constant
• Gravitational Collapse of a Massless Scalar Field in a Periodic Box
• Cosmology using numerical relativity
• A numerical relativity scheme for cosmological simulations
• Cosmic backreaction and Gauss's law
• The Method of Images in Cosmology
• Expanding universe with nonlinear gravitational waves
• Solving Einstein's Equation Numerically on Manifolds With Arbitrary Spatial Topologies
• Evolution of black holes through a nonsingular cosmological bounce
• Cosmological Solutions with Charged Black Holes
• Evaluating backreaction with the ellipsoidal collapse model
• Cosmic expansion from spinning black holes
• On the Curvature Invariants of the Massive Banados-Teitelboim-Zanelli Black Holes and Their Holographic Pictures
• Sound waves from primordial black hole formations
• Cosmological models and stability
• Persistence in black hole lattice cosmological models
• Construction of the cosmological model with periodically distributed inhomogeneities with growing amplitude
• Lie sphere-geometry in lattice cosmology
• Discrete Cosmological Models in the Brans-Dicke Theory of Gravity
• Black Hole Lattices Under the Microscope
• Analytic Analysis of Irregular Discrete Universes
• Constant-mean-curvature Slicing of the Swiss-cheese Universe