Stable exponential cosmological solutions with zero variation of G and three different Hubble-like parameters in the Einstein–Gauss–Bonnet model with a Λ -term

We consider a D-dimensional gravitational model with a Gauss–Bonnet term and the cosmological term Λ. We restrict the metrics to diagonal cosmological ones and find for certain Λ a class of solutions with exponential time dependence of three scale factors, governed by three non-coinciding Hubble-like parameters H> 0 , h1 and h2, corresponding to factor spaces of dimensions m> 2 , k1> 1 and k2> 1 , respectively, with k1≠ k2 and D= 1 + m+ k1+ k2. Any of these solutions describes an exponential expansion of 3d subspace with Hubble parameter H and zero variation of the effective gravitational constant G. We prove the stability of these solutions in a class of cosmological solutions with diagonal metrics. © 2017, The Author(s).

Authors
Publisher
Springer New York LLC
Number of issue
6
Language
English
Status
Published
Number
402
Volume
77
Year
2017
Organizations
  • 1 Institute of Gravitation and Cosmology, RUDN University, 6 Miklukho-Maklaya ul, Moscow, 117198, Russian Federation
  • 2 Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya ul, Moscow, 119361, Russian Federation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5486/
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