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Some aspects of the cosmological dynamics in Einstein-Gauss-Bonnet gravity by Chirkov, Dmitry; Pavluchenko, Sergey A. is a scholarly article available to read on EtoBox.

What is Some aspects of the cosmological dynamics in Einstein-Gauss-Bonnet gravity about?

We study some aspects of dynamical compactification scenario where stabilisation of extra dimensions occurs due to presence the Gauss-Bonnet term and non-zero spatial curvature. In the framework of the model under consideration there exists two-stages scenario of evolution of a Universe: on the first stage, the space evolves from a totally anisotropic state to the state with 3-dimensional (corresponding to our "real", world) expanding and $D$-dimensional contracting isotropic subspaces; on the second stage, constant curvature of extra dimensions begins to play role and provide compactification of extra dimensions. It is already known that such a scenario is realizable when constant curvature of extra dimensions is negative. Here we show that a range of coupling constants for which exponential solutions with 3-dimensional expanding and $D$-dimensional contracting isotropic subspaces are stable is located in a zone where compactification solutions with positively curved extra space are unstable, so that two-stage scenario analogous to the one described above is \emph{not} realizable. Also we study "nearly-Friedmann", regime for the case of arbitrary constant curvature of extra dimens

Author

Chirkov, Dmitry; Pavluchenko, Sergey A.

Published

2021

Language

EN