A general sudden cosmological singularity

Barrow, John D.; Cotsakis, Spiros; Tsokaros, Antonios

doi:10.1088/0264-9381/27/16/165017

Cited by 64 publications

(58 citation statements)

References 42 publications

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“…The genericity question in cosmology has a long history, starting with the studies of Khalatnikov-Lifshitz [51,52], and continuing with Starobinski et al [53,54,55] for inflationary and other fluids. In higher-order gravity, a first analysis using Fuchsian series of arbitrary expansions for the metric was done in [56] in the context of sudden singularity theory. A complete analysis along these lines for a higher-order gravitational action in vacuum was performed in [57].…”

Section: Genericity Issues In String and M-theory Cosmologymentioning

confidence: 99%

Infinity in string cosmology: A review through open problems

Antoniadis

Cotsakis

2017

Int. J. Mod. Phys. D

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Section: Genericity Issues In String and M-theory Cosmologymentioning

confidence: 99%

Infinity in string cosmology: A review through open problems

Antoniadis

Cotsakis

2017

Int. J. Mod. Phys. D

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“…We choose the arbitrary function α 1 (x) appearing in (2.37) to be 73) and substituting this into (2.37) we can easily obtain the corresponding kinetic functions ω(φ) and η(χ) as…”

Section: Barrow's Two-field Modelmentioning

confidence: 99%

Singular cosmological evolution using canonical and ghost scalar fields

Nojiri

Odintsov

Oikonomou

et al. 2015

J. Cosmol. Astropart. Phys.

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We demonstrate that finite time singularities of Type IV can be consistently incorporated in the Universe's cosmological evolution, either appearing in the inflationary era, or in the late-time regime. While using only one scalar field instabilities can in principle occur at the time of the phantom-divide crossing, when two fields are involved we are able to avoid such instabilities. Additionally, the two-field scalar-tensor theories prove to be able to offer a plethora of possible viable cosmological scenarios, at which various types of cosmological singularities can be realized. Amongst others, it is possible to describe inflation with the appearance of a Type IV singularity, and phantom late-time acceleration which ends in a Big Rip. Finally, for completeness, we also present the Type IV realization in the context of suitably reconstructed F (R) gravity.

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“…For example, in [25] analogous expansions have been proposed for asymptotics with future singularities. One might hope that one can also generalize this method to allow a late time expansion for a cosmology with a quintessence field and dust, and this would be an interesting direction for future work.…”

Section: Late Time Expansion About De Sittermentioning

confidence: 99%

“…Here, our results are valid to all orders in the redshift. As a check of our luminositydistance calculation (25) in the low redshift regime, we have computed the luminosity distance using the geometrical optics method of [28] for our late time solutions. We find precise agreement to the order of approximation in redshift considered in [28].…”

Section: A Late Time Expansion About De Sittermentioning

confidence: 99%

Late time solutions for inhomogeneousΛCDMcosmology, their characterization, and observation

Wiseman

Withers

2011

Phys. Rev. D

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Assuming homogeneous isotropic ÃCDM cosmology allows Ã, spatial curvature, and dark matter density to be inferred from large scale structure observations such as supernovae. The purpose of this paper is to extend this to allow observations to measure or constrain inhomogeneity and anisotropy. We obtain the general inhomogeneous anisotropic ÃCDM solution which is locally asymptotic to an expanding de Sitter solution as a late time expansion using Starobinsky's method (analogous to the ''holographic renormalization'' technique in AdS/CFT) together with a resummation of the expansion. The dark matter is modeled as perfect dust fluid. The terms in the expansion systematically describe inhomogeneous and anisotropic deformations of an expanding Friedmann-Lemaître-Robertson-Walker solution and are given as a spatial derivative expansion in terms of data characterizing the solution-a 3-metric and a perturbation of that 3-metric. Leading terms describe inhomogeneity and anisotropy on the scale set by the cosmological constant, approximately the horizon scale today. Higher terms in the expansion describe shorter scale variations. We compute the luminosity-distance-redshift relation and argue that comparison with current and future observations would allow a partial reconstruction of the characterizing data. We also comment on smoothing these solutions noting that geometric flows (such as Ricci flow) applied to the characterizing data provide a canonical smoothing method.

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A general sudden cosmological singularity

Abstract: We construct an asymptotic series for a general solution of the Einstein equations near a sudden singularity. The solution is quasi isotropic and contains nine independent arbitrary functions of the space coordinates as required by the structure of the initial value problem.

Cited by 64 publications

References 42 publications

Infinity in string cosmology: A review through open problems

Infinity in string cosmology: A review through open problems

Singular cosmological evolution using canonical and ghost scalar fields

Late time solutions for inhomogeneousΛCDMcosmology, their characterization, and observation

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