and Models: A Self-Similar Approach | Zendy

José Antonio Belinchón | Zendy

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and Models: A Self-Similar Approach

Author(s) -

José Antonio Belinchón

Publication year - 2013

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/169020

Subject(s) - mathematics , friedmann–lemaître–robertson–walker metric , metric (unit) , self similarity , similarity (geometry) , scale (ratio) , field (mathematics) , pure mathematics , geometry , universe , artificial intelligence , computer science , operations management , physics , quantum mechanics , astrophysics , economics , image (mathematics)

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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