Backreaction and continuum limit in a closed universe filled with black holes

Korzyński, Mikołaj

doi:10.1088/0264-9381/31/8/085002

Cited by 34 publications

(71 citation statements)

References 42 publications

(120 reference statements)

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“…By including data for the regular models from [4], we see that both model types approach the FLRW limit as more sources are added. Our results are so far consistent with [16], where a thorough analysis is made of the continuum limit. However, while the regular models approach the FLRW limit from above, the irregular models approach it from below.…”

Section: Initial Length Of the Lrs Curvesupporting

confidence: 90%

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Analytic analysis of irregular discrete universes

Jolin

Rosquist

2018

Gen Relativ Gravit

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In this work we investigate the dynamics of cosmological models with spherical topology containing up to 600 Schwarzschild black holes arranged in an irregular manner. We solve the field equations by tessellating the 3-sphere into eight identical cells, each having a single edge which is shared by all cells. The shared edge is enforced to be locally rotationally symmetric, thereby allowing for solving the dynamics to high accuracy along this edge. Each cell will then carry an identical (up to parity) configuration which can however have an arbitrarily random distribution. The dynamics of such models is compared to that of previous works on regularly distributed black holes as well as with the standard isotropic dust models of the FLRW type. The irregular models are shown to have richer dynamics than that of the regular models. The randomization of the distribution of the black holes is done both without bias and also with a certain clustering bias. The geometry of the initial configuration of our models is shown to be qualitatively different from the regular case in the way it approaches the isotropic model.

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Section: Initial Length Of the Lrs Curvesupporting

confidence: 90%

“…The regular 4-polytopes are 4-dimensional analogues of the (3-dimensional) Platonic solids. There are six different regular 4-polytopes with 5,8,16,24,120 or 600 cells. Previous work on such regular models placed identical sources at the cell centres.…”

Section: Introductionmentioning

confidence: 99%

Analytic analysis of irregular discrete universes

Jolin

Rosquist

2018

Gen Relativ Gravit

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“…The black hole lattice universe is often used as one of tools to evaluate effects of local non-linear inhomogeneities on the global expansion. Recently, black hole lattice universe models have been revisited by several authors [2][3][4][5][6][7][8][9][10][11][12]. Time symmetric initial data for N-black hole systems on a virtual 3-sphere have been analyzed in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…Time symmetric initial data for N-black hole systems on a virtual 3-sphere have been analyzed in Refs. [4,12]. Time evolution of the 8-black hole system has been performed and analyzed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Black hole universe with a cosmological constant

Yoo

Okawa²

2014

Phys. Rev. D

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Time evolution of a black hole lattice universe with a positive cosmological constant Λ is simulated. The vacuum Einstein equations are numerically solved in a cubic box with a black hole in the center. Periodic boundary conditions on all pairs of opposite faces are imposed. Configurations of marginally trapped surfaces are analyzed. We describe the time evolution of not only black hole horizons, but also cosmological horizons. Defining the effective scale factor by using the area of a surface of the cubic box, we compare it with that in the spatially flat dust dominated FLRW universe with the same value of Λ. It is found that the behaviour of the effective scale factor is well approximated by that in the FLRW universe. Our result suggests that local inhomogeneities do not significantly affect the global expansion law of the universe irrespective of the value of Λ. * Electronic address: yoo@gravity.phys.nagoya-u.ac.jp † Electronic address: hirotada.okawa@ist.utl.pt 2

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“…39 Note also, that even though regions containing general relativistic compact sources are negligible in terms of volume measure as compared to the total volume of a given spatial domain, the domain can exhibit non-trivial general relativistic behaviour. 40 solution being valid on the largest scales might be constrained with complementary cosmological data such as supernovae, galaxy surveys, and CMB data, as long as the given survey probes large enough spatial domains.…”

Section: Discussionmentioning

confidence: 99%

Dynamical spatial curvature as a fit to Type Ia supernovae

Desgrange

Heinesen

Buchert

2019

Int. J. Mod. Phys. D

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Few statements in cosmology can be made without assuming a cosmological model within which to interpret data. Statements about cosmic acceleration are no exception to this rule, and the inferred positive volume acceleration of our Universe often quoted in the literature is valid in the context of the standard Friedmann-Lemaître-Robertson-Walker (FLRW) class of space-times.Using the Joint Light-curve Analysis (JLA) catalogue of type Ia supernovae (SNIa), we examine the fit of a class of exact scaling solutions with dynamical spatial curvature formulated in the framework of a scalar averaging scheme for relativistic inhomogeneous space-times. In these models, global volume acceleration may emerge as a result of the non-local variance between expansion rates of clusters and voids, the latter gaining volume dominance in the late-epoch Universe.We find best-fit parameters for a scaling model of backreaction that are reasonably consistent with previously found constraints from SNIa, CMB, and baryon acoustic oscillations data. The quality of fit of the scaling solutions is indistinguishable from that of the ΛCDM model and the timescape cosmology from an Akaike Information Criterion (AIC) perspective. This indicates that a broad class of models can account for the z 1 expansion history.

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Backreaction and continuum limit in a closed universe filled with black holes

Cited by 34 publications

References 42 publications

Analytic analysis of irregular discrete universes

Analytic analysis of irregular discrete universes

Black hole universe with a cosmological constant

Dynamical spatial curvature as a fit to Type Ia supernovae

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