and Models: A Self-Similar Approach

We study the models and their particular case, the so-called -models under the self-similarity hypothesis. In particular, we calculate the exact form that each quantity may take in order that field equations (FEs) admit self-similar solutions. The methods employed allow us to obtain general results...

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Main Author: José Antonio Belinchón
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/169020
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author José Antonio Belinchón
author_facet José Antonio Belinchón
author_sort José Antonio Belinchón
collection DOAJ
description We study the models and their particular case, the so-called -models under the self-similarity hypothesis. In particular, we calculate the exact form that each quantity may take in order that field equations (FEs) admit self-similar solutions. The methods employed allow us to obtain general results that are valid not only for the FRW metric, but also for all the Bianchi types as well as for the Kantowski-Sachs model (under the self-similarity hypothesis and the power-law hypothesis for the scale factors).
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spelling doaj-art-1bc006864e2342a0836f8347e1e4775c2025-02-03T06:00:17ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/169020169020and Models: A Self-Similar ApproachJosé Antonio Belinchón0Departamento Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, 28040 Madrid, SpainWe study the models and their particular case, the so-called -models under the self-similarity hypothesis. In particular, we calculate the exact form that each quantity may take in order that field equations (FEs) admit self-similar solutions. The methods employed allow us to obtain general results that are valid not only for the FRW metric, but also for all the Bianchi types as well as for the Kantowski-Sachs model (under the self-similarity hypothesis and the power-law hypothesis for the scale factors).http://dx.doi.org/10.1155/2013/169020
spellingShingle José Antonio Belinchón
and Models: A Self-Similar Approach
Journal of Mathematics
title and Models: A Self-Similar Approach
title_full and Models: A Self-Similar Approach
title_fullStr and Models: A Self-Similar Approach
title_full_unstemmed and Models: A Self-Similar Approach
title_short and Models: A Self-Similar Approach
title_sort and models a self similar approach
url http://dx.doi.org/10.1155/2013/169020
work_keys_str_mv AT joseantoniobelinchon andmodelsaselfsimilarapproach