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

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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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Notes

  1. See Ref. [35] and references therein for further reading on bouncing cosmologies.

  2. See Ref. [35–37] and references therein for further reading on oscillating cosmologies.

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Acknowledgments

The research reported here is supported by a Post-Doc Research Grant by the Turkish Academy of Sciences (TÜBA). Ö.A. also acknowledges the financial support from Koç University and the support he received from the Abdus Salam International Center for Theoretical Physics (ICTP). Ö.A. is grateful for the hospitality of ICTP while the part of this research was being carried out. We also thank Anastasios Avgoustidis and Barış Çoşkunüzer for discussions.

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Authors and Affiliations

  1. Department of Physics, Koç University, 34450, Sarıyer, Istanbul, Turkey

    Özgür Akarsu & Tekin Dereli

  2. Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy

    Özgür Akarsu

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  1. Özgür Akarsu
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  2. Tekin Dereli
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Correspondence to Özgür Akarsu.

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Akarsu, Ö., Dereli, T. The dynamical evolution of 3-space in a higher dimensional steady state universe. Gen Relativ Gravit 45, 959–986 (2013). https://doi.org/10.1007/s10714-013-1505-1

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