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Cosmological dynamics in higher-dimensional Einstein–Gauss–Bonnet gravity

  • Fabrizio Canfora
  • Alex Giacomini
  • Sergey A. Pavluchenko
Research Article

Abstract

In this paper we perform a systematic classification of the regimes of cosmological dynamics in Einstein–Gauss–Bonnet gravity with generic values of the coupling constants. We consider a manifold which is a warped product of a four dimensional Friedmann–Robertson–Walker space-time with a \(D\)-dimensional Euclidean compact constant curvature space with two independent scale factors. A numerical analysis of the time evolution as function of the coupling constants and of the curvatures of the spatial section and of the extra dimension is performed. We describe the distribution of the regimes over the initial conditions space and the coupling constants. The analysis is performed for two values of the number of extra dimensions (\(D\geqslant 6\) both) which allows us to describe the effect of the number of the extra dimensions as well.

Keywords

Einstein–Gauss–Bonnet gravity Compactification Cosmology 

Notes

Acknowledgments

This work was supported by FONDECYT grants 1120352, 1110167, and 3130599. The Centro de Estudios Cientificos (CECs) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt. We are also grateful for referees for their comments which help us improve the manuscript.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Fabrizio Canfora
    • 1
    • 2
  • Alex Giacomini
    • 3
  • Sergey A. Pavluchenko
    • 3
  1. 1.Centro de Estudios Cientificos (CECs)ValdiviaChile
  2. 2.Universidad Andres BelloSantiagoChile
  3. 3.Instituto de Ciencias Físicas y MatemáticasUniversidad Austral de ChileValdiviaChile

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