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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| Published in | General relativity and gravitation Vol. 45; no. 5; pp. 959 - 986 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
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Springer US
01.05.2013
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| Subjects | |
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| Abstract | 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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| AbstractList | We investigate a class of cosmological solutions of Einsteinas 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. 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. |
| Author | Dereli, Tekin Akarsu, Özgür |
| Author_xml | – sequence: 1 givenname: Özgür surname: Akarsu fullname: Akarsu, Özgür email: oakarsu@ku.edu.tr organization: Department of Physics, Koç University, Abdus Salam International Centre for Theoretical Physics – sequence: 2 givenname: Tekin surname: Dereli fullname: Dereli, Tekin organization: Department of Physics, Koç University |
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| Keywords | Kaluza–Klein cosmology Variable deceleration parameter Accelerated expansion |
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| Snippet | We investigate a class of cosmological solutions of Einstein’s field equations in higher dimensions with a cosmological constant and an ideal fluid matter... We investigate a class of cosmological solutions of Einsteinas field equations in higher dimensions with a cosmological constant and an ideal fluid matter... |
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| SubjectTerms | 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 |
| Title | The dynamical evolution of 3-space in a higher dimensional steady state universe |
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