Cosmological Solutions with Charged Black Holes
arXiv:1705.01892 · doi:10.1007/s10714-017-2261-4
Abstract
We consider the problem of constructing cosmological solutions of the Einstein-Maxwell equations that contain multiple charged black holes. By considering the field equations as a set of constraint and evolution equations, we construct exact initial data for N charged black holes on a hypersphere. This corresponds to the maximum of expansion of a cosmological solution, and provides sufficient information for a unique evolution. We then consider the specific example of a universe that contains eight charged black holes, and show that the existence of non-zero electric charge reduces the scale of the cosmological region of the space. These solutions generalize the Majumdar-Papapetrou solutions away from the extremal limit of charged black holes, and provide what we believe to be some of the first relativistic calculations of the effects of electric charge on cosmological backreaction.
arXiv comment14 pages, 2 figures
References in corpus (31)
- Cosmological Multi-Black Hole Solutions
- Backreaction in late-time cosmology
- Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology
- Archipelagian Cosmology: Dynamics and Observables in a Universe with Discretized Matter Content
- An exact quantification of backreaction in relativistic cosmology
- Black Hole Universe: Time Evolution
- Evolution of a periodic eight-black-hole lattice in numerical relativity
- Black Hole Universe: Construction and Analysis of Initial Data
- Evolution of a family of expanding cubic black-hole lattices in numerical relativity
- Errors in Estimating Omega_Lambda due to the Fluid Approximation
- Black Hole Universe with
- Dynamics of a lattice Universe
- An Improved Treatment of Optics in the Lindquist-Wheeler Models
- Exact Evolution of Discrete Relativistic Cosmological Models
- Cosmology Without Averaging
- Observables in a lattice Universe
- Post-Newtonian Cosmological Modelling
- Persistent Black Holes in Bouncing Cosmologies
- Light propagation through black-hole lattices
- Solving the Einstein constraints in periodic spaces with a multigrid approach
- Back-Reaction in Relativistic Cosmology
- Piecewise Silence in Discrete Cosmological Models
- Cosmological backreaction in the presence of radiation and a cosmological constant
- On the vacuum Einstein equations along curves with a discrete local rotational and reflection symmetry
- The Lindquist-Wheeler formulation of lattice universes
- Regge calculus models of closed lattice universes
- The Magnetic Part of the Weyl Tensor, and the Expansion of Discrete Universes
- Regge calculus models of the closed vacuum -FLRW universe
- Exact Initial Data for Black Hole Universes with a Cosmological Constant
- The Method of Images in Cosmology
- Charged cosmological black hole