# Stable exponential cosmological solutions with zero variation of G in the Einstein-Gauss-Bonnet model with a Lambda-term

Source: [Stable exponential cosmological solutions with zero variation of G in the Einstein-Gauss-Bonnet model with a Lambda-term](<https://www.sota2.com/research/paper/68fa35571e209131ce8a0be9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T21:12:14.787Z

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

Published: 2016-12-26T22:27:35.000Z

## Abstract

A D-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term Lambda is considered. By assuming diagonal cosmological metrics, we find, for certain fine-tuned Lambda, a class of solutions with exponential time dependence of two scale factors, governed by two Hubble-like parameters H \>0 and h \< 0, corresponding to factor spaces of dimensions m \> 3 and l \> 1, respectively, with (m,l) non-equal to (6,6), (7,4), (9,3) and D = 1 + m + l. Any of these solutions describes an exponential expansion of 3-dimensional 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/1612.08451>)

[PDF](<https://arxiv.org/pdf/1612.08451.pdf>)