SOME COSMOLOGICAL MODELS WITH MAGNETIC FIELD IN SCALAR FIELD COSMOLOGIES

Year 2015, Issue: 034, 41 - 56, 15.06.2015

Kezban Kanmaz İsmail Tarhan

Abstract

In this study, obtaining
some cosmological models with perfect fluid and the magnetized scalar field which
is believed to be effective in the early time of the universe, investigation of
their solutions and discussion of the physical and the mathematical properties
for the obtained solutions were aimed. For this purpose, the Einstein field
equations of the Marder metric which represents homogeneous and anisotropic
space-time and filled with scalar field containing magnetic field were obtained
and their solutions were investigated. Asymptotic behaviors and physical
properties of the obtained solutions were examined and the role of the results
to the evolution of the universe and explanation of cosmological events were
discussed in the framework of current knowledge.

Keywords

Scalar field, perfect fluid, electromagnetic field, Marder’s metric, Bianchi type space-times

SKALER ALAN KOZMOLOJİLERDE MANYETİK ALAN KAYNAKLI BAZI KOZMOLOJİK MODELLER

Abstract

Bu çalışmada, Evrenin
ilk çağlarında etkin olduğuna inanılan manyetize olmuş skaler alan ve ideal
akışkanlı bazı kozmolojik modeller elde edip çözümlerin araştırılması, elde
edilen çözümlerin fiziksel ve matematiksel
özelliklerinin tartışılması hedeflenmiştir. Bu amaçla; manyetik alan içeren
skaler alan ile dolu, homojen fakat anizotrop bir uzay zamanı temsil eden
Marder metriği için Einstein alan denklemleri elde edilerek çözümler
aranmaktadır. Elde edilen çözümlerin asimptotik davranışları ve fiziksel
özellikleri incelenmiş ve sonuçların evrenin evrimine ve evrim işlemleri
sırasında karşılaşılan kozmolojik olayları açıklamadaki rolü güncel bilgiler
çerçevesinde tartışılmaktadır.

Keywords

Skaler alan, ideal akışkan, elektromanyetik alan, Marder metriği, Bianchi tipi uzay-zamanlar

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