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We consider a $(4 + 2k)$ - dimensional Einstein-Gauss-Bonnet model with the cosmological $\Lambda$-term. Exact stable solutions with three constant Hubble-like parameters in this model are obtained. In this case, the multidimensional…

General Relativity and Quantum Cosmology · Physics 2020-01-29 K. K. Ernazarov

We deal with Einstein-Gauss-Bonnet model in dimension $D$ with a $\Lambda$-term. We obtain three stable cosmological solutions with exponential behavior (in time) of three scale factors corresponding to subspaces of dimensions…

General Relativity and Quantum Cosmology · Physics 2019-06-19 K. K. Ernazarov , V. D. Ivashchuk

We study a $D$-dimensional Einstein-Gauss-Bonnet model which includes the Gauss-Bonnet term, the cosmological term $\Lambda$ and two non-zero constants: $\alpha_1$ and $\alpha_2$. Under imposing the metric to be diagonal one, we find…

General Relativity and Quantum Cosmology · Physics 2022-06-23 K. K. Ernazarov , V. D. Ivashchuk

A $(m+ 3)$-dimensional Einstein-Gauss-Bonnet gravitational model including the Gauss-Bonnet term and the cosmological term $\Lambda$ is considered. Exact solutions with exponential time dependence of two scale factors, governed by two…

General Relativity and Quantum Cosmology · Physics 2020-11-16 V. D. Ivashchuk , A. A. Kobtsev

We consider $(1+ 8)$- and $(1+10)$-dimensional Einstein-Gauss-Bonnet models with the cosmological $\Lambda$-term. Some new examples of exact solutions with three constant Hubble-like parameters in this model are obtained, governed by three…

General Relativity and Quantum Cosmology · Physics 2022-12-07 K. K. Ernazarov

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…

General Relativity and Quantum Cosmology · Physics 2017-08-02 K. K. Ernazarov , V. D. Ivashchuk

We consider a $D$-dimensional Einstein-Gauss-Bonnet model with a cosmological term $\Lambda$ and two non-zero constants: $\alpha_1$ and $\alpha_2$. We restrict the metrics to be diagonal ones and study a class of solutions with exponential…

General Relativity and Quantum Cosmology · Physics 2020-07-15 K. K. Ernazarov , V. D. Ivashchuk

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…

General Relativity and Quantum Cosmology · Physics 2017-03-08 K. K. Ernazarov , V. D. Ivashchuk

A D-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term Lambda is considered. Assuming diagonal cosmological metrics, we find, for certain non-zero Lambda new examples of solutions with an exponential time…

General Relativity and Quantum Cosmology · Physics 2016-12-28 V. D. Ivashchuk

We study $D$-dimensional Einstein-Gauss-Bonnet gravitational model including the Gauss-Bonnet term and the cosmological term $\Lambda$. We find a class of solutions with exponential time dependence of two scale factors, governed by two…

General Relativity and Quantum Cosmology · Physics 2018-09-05 V. D. Ivashchuk , A. A. Kobtsev

A $D$-dimensional Einstein-Gauss-Bonnet (EGB) flat cosmological model with a cosmological term $\Lambda$ is considered. We focus on solutions with exponential dependence of scale factor on time. Using previously developed general analysis…

General Relativity and Quantum Cosmology · Physics 2018-07-16 D. M. Chirkov , A. V. Toporensky

A (n+1)-dimensional gravitational model with Gauss-Bonnet term and cosmological constant term is considered. When ansatz with diagonal cosmological metrics is adopted, the solutions with exponential dependence of scale factors: a_i ~ exp(…

High Energy Physics - Theory · Physics 2016-08-24 V. D. Ivashchuk

We study exact cosmological solutions in $D$-dimensional Einstein-Gauss-Bonnet model (with zero cosmological term) governed by two non-zero constants: $\alpha_1$ and $\alpha_2$. We deal with exponential dependence (in time) of two scale…

General Relativity and Quantum Cosmology · Physics 2019-07-23 V. D. Ivashchuk , A. A. Kobtsev

We consider $10$-dimensional gravitational model with $SO(6)$ Yang-Mills field, Gauss-Bonnet term and $\Lambda$-term. We study so-called cosmological type solutions defined on product manifold $M = R \times R^3 \times K$, where $K$ is $6d$…

General Relativity and Quantum Cosmology · Physics 2023-03-28 V. D. Ivashchuk , K. K. Ernazarov , A. A. Kobtsev

A D-dimensional gravitational model with Gauss-Bonnet term is considered. When ansatz with diagonal cosmological type metrics is adopted, we find solutions with exponential dependence of scale factors (with respect to "synchronous-like"…

General Relativity and Quantum Cosmology · Physics 2016-10-04 V. D. Ivashchuk , A. A. Kobtsev

We consider a $(m+2)$-dimensional Einstein-Gauss-Bonnet model with the cosmological $\Lambda$-term. We restrict the metrics to be diagonal ones and find for certain $\Lambda = \Lambda(m)$ class of cosmological solutions with non-exponential…

General Relativity and Quantum Cosmology · Physics 2019-06-03 K. K. Ernazarov

A D-dimensional gravitational model with Gauss-Bonnet and cosmological term is considered. When ansatz with diagonal cosmological metrics is adopted, we overview recent solutions for zero cosmological term and find new examples of solutions…

General Relativity and Quantum Cosmology · Physics 2016-03-16 A. A. Kobtsev , V. D. Ivashchuk , K. K. Ernazarov

In this paper we perform systematic investigation of all possible exponential solutions in Einstein-Gauss-Bonnet gravity with the spatial section being a product of two subspaces. We describe a scheme which always allow to find solution for…

General Relativity and Quantum Cosmology · Physics 2021-04-26 Sergey A. Pavluchenko

In this paper we perform a systematic study of spatially flat $[(3+D)+1]$-dimensional Einstein-Gauss-Bonnet cosmological models with $\Lambda$-term. We consider models that topologically are the product of two flat isotropic subspaces with…

High Energy Physics - Theory · Physics 2017-08-21 Sergey A. Pavluchenko

We study dynamics of induced gravity cosmological models with sixth degree potential, that have found using the superpotential method. The important property of these models are existence of exact cosmological solutions that tend to fixed…

General Relativity and Quantum Cosmology · Physics 2014-07-29 Ekaterina O. Pozdeeva , Sergey Yu. Vernov
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