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

Source: [Stable exponential cosmological solutions with zero variation of $G$ and three different Hubble-like parameters in the Einstein-Gauss-Bonnet model with a $\\Lambda$-term](<https://www.sota2.com/research/paper/68fa36101e209131ce8a6e30>)

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Data updated: 2025-10-27T03:47:47.439Z

Authors: K. K. Ernazarov, V. D. Ivashchuk

Published: 2017-05-15T21:14:43.000Z

## Abstract

We consider a $D$-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term $\\Lambda$. We restrict the metrics to diagonal cosmological ones and find for certain $\\Lambda$ a class of solutions with exponential time dependence of three scale factors, governed by three non-coinciding Hubble-like parameters $H \>0$, $h\_1$ and $h\_2$, corresponding to factor spaces of dimensions $m \> 2$, $k\_1 \> 1$ and $k\_2 \> 1$, respectively, with $k\_1 \\neq k\_2$ and $D = 1 + m + k\_1 + k\_2$. 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1705.05456>)

[PDF](<https://arxiv.org/pdf/1705.05456.pdf>)