2013
DOI: 10.5539/apr.v5n6p107
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BKL Method in the Bianchi IX Universe Model Revisited

Abstract:

Given the extreme difficulty in finding analytical solutions to Einstein’s equations for universe models, such as the Bianchi type IX, different physical-mathematical techniques have been designed to attempt to find, at least approximate solutions that could have relevance in modern cosmology. Belinskii, Khalatnikov and Lifshitz (BKL) have developed a method to study a particular time evolution dynamic of the Bianchi type IX universe model. Herein, it is shown that this method contains pitfalls. These pitfa… Show more

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Cited by 1 publication
(1 citation statement)
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References 32 publications
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“…the last three paragraphs of [25, Section 2], where it is explained that among these trajectories there can exist "anomalous" cases when the description in terms of Kasner eras does not make sense, but that they are, in a sense, infinitely rare. See also the recent critical discussion in [26].…”
Section: Bianchi IX Universe and The Modular Curvementioning
confidence: 99%
“…the last three paragraphs of [25, Section 2], where it is explained that among these trajectories there can exist "anomalous" cases when the description in terms of Kasner eras does not make sense, but that they are, in a sense, infinitely rare. See also the recent critical discussion in [26].…”
Section: Bianchi IX Universe and The Modular Curvementioning
confidence: 99%