2013
DOI: 10.1103/physrevlett.111.161102
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Black-Hole Universe: Time Evolution

Abstract: Time evolution of a black hole lattice toy model universe is simulated. The vacuum Einstein equations in a cubic box with a black hole at the origin are numerically solved with periodic boundary conditions on all pairs of faces opposite to each other. Defining effective scale factors by using the area of a surface and the length of an edge of the cubic box, we compare them with that in the Einstein-de Sitter universe. It is found that the behavior of the effective scale factors is well approximated by that in … Show more

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Cited by 62 publications
(80 citation statements)
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References 25 publications
(27 reference statements)
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“…At any given cosmic time, 'Hubble length' can be considered as the gravitational or electromagnetic interaction range. If one is willing to think in this direction, by increasing the number of applications of Hubble mass and Hubble volume in other areas of fundamental physics like quantum physics, nuclear physics, atomic physics and particle physics [7]- [14] slowly and gradually -in a progressive way, concepts of 'Black hole Cosmology' can be strengthened and can also be confirmed [36]- [41], [95]- [103]. The most interesting thing is that, at any given cosmic time, if the universe is a primordial growing black hole, then certainly its 'Schwarzschild radius' can be considered as its characteristic minimum size at that time.…”
Section: Discussionmentioning
confidence: 99%
“…At any given cosmic time, 'Hubble length' can be considered as the gravitational or electromagnetic interaction range. If one is willing to think in this direction, by increasing the number of applications of Hubble mass and Hubble volume in other areas of fundamental physics like quantum physics, nuclear physics, atomic physics and particle physics [7]- [14] slowly and gradually -in a progressive way, concepts of 'Black hole Cosmology' can be strengthened and can also be confirmed [36]- [41], [95]- [103]. The most interesting thing is that, at any given cosmic time, if the universe is a primordial growing black hole, then certainly its 'Schwarzschild radius' can be considered as its characteristic minimum size at that time.…”
Section: Discussionmentioning
confidence: 99%
“…Such models were originally proposed by Raj Pathria [11], I. J. Good [12], Nikodem Popławski [13], Tinaxi Zhang [14], Joel Smoller, Blake Temple [15] and Chul-Moon Yoo [16]. Any such model requires that the Hubble radius of the observable universe is equal to its Schwarzschild radius, that is, the product of its mass and the Schwarzschild proportionality constant.…”
Section: Black Hole Cosmology or Schwarzschild Cosmologymentioning
confidence: 99%
“…We use the same gauge condition as in Ref. [2]. The grid spacing is uni-grid with Cartesian coordinates.…”
Section: Time Evolutionmentioning
confidence: 99%
“…Black hole systems with the same boundary condition is studied in Refs. [1][2][3]. In practice, we simulate the only octant region of the cubic box imposing reflecting boundary condition on each boundary surface.…”
Section: Introductionmentioning
confidence: 99%