On exponential solutions in the Einstein–Gauss–Bonnet cosmology, stability and variation of G - INSPIRE

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On exponential solutions in the Einstein–Gauss–Bonnet cosmology, stability and variation of G

Aug 11, 2016

6 pages

Published in:

Grav.Cosmol. 22 (2016) 3, 245-250

Published: Aug 11, 2016

DOI:

10.1134/S0202289316030051

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AMS MathSciNet

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Abstract: (Springer)

A D-dimensional gravitational model with Gauss–Bonnet and cosmological terms is considered. When an ansatz with a diagonal cosmological metric is adopted, we find new examples of solutions for Λ Λ ≠ 0 and D = 8 with an exponential dependence of the scale factors, which describe expansion of our 3D factor-space and contraction of 4D internal space. We also study the stability of the solutions with static Hubble-like parameters h

^{i}

and prove that two solutions with Λ = 0 in dimensions D = 22, 28, which were found earlier, are stable. For both solutions we find asymptotic relations for the effective gravitational constant.

gravitation: model
Gauss-Bonnet term
gravitation: higher-dimensional
solution: stability
fundamental constant
cosmological constant
cosmological model

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