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In this paper we are looking for the exponential solutions (i.e. the solutions with the scale factors change exponentially over time) in the Einstein-Gauss-Bonnet gravity. We argue that we found all possible non-constant-volume solutions…

General Relativity and Quantum Cosmology · Physics 2014-08-19 Dmitry Chirkov , Sergey Pavluchenko , Alexey Toporensky

In this paper we perform systematic investigation of all possible solutions with static compact extra dimensions and expanding three-dimensional subspace (``our Universe''). Unlike previous papers, we consider extra-dimensional subspace to…

General Relativity and Quantum Cosmology · Physics 2021-04-22 Dmitry Chirkov , Alex Giacomini , Sergey A. Pavluchenko , Alexey Toporensky

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 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

In this paper we investigate the constant volume exponential solutions (i.e. the solutions with the scale factors change exponentially over time so that the comoving volume remains the same) in the Einstein-Gauss-Bonnet gravity. We find…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Dmitry Chirkov , Sergey A. Pavluchenko , Alexey Toporensky

We consider numerically dynamics of a flat anisotropic Universe in Einstein-Gauss-Bonnet gravity with positive $\Lambda$ in dimensionalities 5+1 and 6+1. We identify three possible outcomes of the evolution, one singular and two…

General Relativity and Quantum Cosmology · Physics 2019-07-25 Dmitry Chirkov , Alexey Toporensky

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 consider a $(7 + k)$-dimensional Einstein-Gauss-Bonnet model with the cosmological $\Lambda$-term. A cosmological model with three factor spaces of dimensions $3$, $3$ and $k$, $k > 2$ is considered. Exact stable solutions with three…

General Relativity and Quantum Cosmology · Physics 2019-05-22 K. K. Ernazarov

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

In this paper we perform stability analysis for exponential solutions in Einstein-Gauss-Bonnet and cubic Lovelock gravity. We report our findings, provide areas on parameters space and discuss familiarities and differences between cases.…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Sergey A. Pavluchenko

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

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

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

We study some aspects of dynamical compactification scenario where stabilisation of extra dimensions occurs due to presence the Gauss-Bonnet term and non-zero spatial curvature. In the framework of the model under consideration there exists…

General Relativity and Quantum Cosmology · Physics 2021-05-12 Dmitry Chirkov , Sergey A. Pavluchenko

Codimension two branes play an interesting role in attacking the cosmological constant problem. Recently, in order to handle some problems in codimension two branes in Einstein gravity, Bostock {\it et al.} have proposed using…

High Energy Physics - Theory · Physics 2009-11-10 Peng Wang , Xin-He Meng

It is known that Gauss-Bonnet terms in higher dimensional gravity can produce an effective cosmological constant. We add extra examples to this picture by presenting explicitly two branches of accelerating vacuum solutions to the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Liu Zhao , Kun Meng

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

The present work is devoted to studying the background dynamical evolution of a scalar field in Einstein-Gauss-Bonnet gravity in maximally symmetric space-time. This study is useful for giving meaning to the presence of two Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2023-04-04 M. Bousder , Z Sakhi
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