The osgood criterion and finite‐time cosmological singularities

Kohli, Ikjyot Singh

doi:10.1002/andp.201500360

Cited by 2 publications

(2 citation statements)

References 81 publications

(53 reference statements)

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“…It was proposed to constrain the position of singularities based directly on the ansatz of an approximation for the scale factor near the singularity [12,20,[23][24][25]. It is a model independent approach as it is based only on the mathematics of singularity analysis.…”

Section: Discussionmentioning

confidence: 99%

“…Our methodology of searching for singularities of the finite scale factor is similar to the method of detection of singularities by Odintsov et al [2,12,20,[23][24][25], by postulating the non-analytical part in a contribution to the Hubble function. In our approach we assume that singularities are related with the lack of analyticity in the potential itself or its derivatives.…”

Section: Introductionmentioning

confidence: 99%

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Singularities in particle-like description of FRW cosmology

Szydłowski

Stachowski

2018

Eur. Phys. J. C

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In this paper, we apply the method of reducing the dynamics of FRW cosmological models with a barotropic form of the equation of state to the dynamical system of the Newtonian type to detect the finite scale factor singularities and the finite-time singularities. In this approach all information concerning the dynamics of the system is contained in a diagram of the potential function V (a) of the scale factor. Singularities of the finite scale factor make themselves manifest by poles of the potential function. In our approach the different types of singularities are represented by critical exponents in the power-law approximation of the potential. The classification can be given in terms of these exponents. We have found that the pole singularity can mimic an inflation epoch. We demonstrate that the cosmological singularities can be investigated in terms of the critical exponents of the potential function of the cosmological dynamical systems. We assume that the general form of the model contains matter and some kind of dark energy which is parameterised by the potential. We distinguish singularities (by an ansatz involving the Lagrangian) of the pole type with the inflation and demonstrate that such a singularity can appear in the past.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Singularities in particle-like description of FRW cosmology

Szydłowski

Stachowski

2018

Eur. Phys. J. C

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Some Remarks on Non-Singular Spherically Symmetric Space-Times

Sebastiani

Zerbini

2022

Astronomy

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A short review of spherically symmetric static regular black holes and spherically symmetric non-singular cosmological space-time is presented. Several models, including new ones, of regular black holes are considered. First, a large class of regular black holes having an inner de Sitter core with the related issue of a Cauchy horizon is investigated. Then, Black Bounce space-times, where the Cauchy horizon and therefore the related instabilities are absent, are discussed as valid alternatives to regular black holes with inner de Sitter cores. Friedman–Lemaître–Robertson–Walker space-times admitting regular bounce solutions are also discussed. In the general analysis concerning the presence or absence of singularities in the equations of motion, the role of a theorem credited to Osgood is stressed.

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The osgood criterion and finite‐time cosmological singularities

Cited by 2 publications

References 81 publications

Singularities in particle-like description of FRW cosmology

Singularities in particle-like description of FRW cosmology

Some Remarks on Non-Singular Spherically Symmetric Space-Times

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