The dynamical evolution of 3-space in a higher dimensional steady state universe

We investigate a class of cosmological solutions of Einstein’s field equations in higher dimensions with a cosmological constant and an ideal fluid matter distribution as a source. We discuss the dynamical evolution of the universe subject to two constraints that (i) the total volume scale factor of...

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Bibliographic Details
Published inGeneral relativity and gravitation Vol. 45; no. 5; pp. 959 - 986
Main Authors Akarsu, Özgür, Dereli, Tekin
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.05.2013
Subjects
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Theoretical
Kaluza–Klein cosmology
Variable deceleration parameter
Accelerated expansion
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Summary:We investigate a class of cosmological solutions of Einstein’s field equations in higher dimensions with a cosmological constant and an ideal fluid matter distribution as a source. We discuss the dynamical evolution of the universe subject to two constraints that (i) the total volume scale factor of the universe is constant and (ii) the effective energy density is constant. We obtain various interesting new dynamics for the external space that yield a time varying deceleration parameter including oscillating cases when the flat/curved external and curved/flat internal spaces are considered. We also comment on how the universe would be conceived by an observer in four dimensions who is unaware of the extra dimensions.
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ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-013-1505-1