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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

In this paper cosmological dynamics in Einstein-Gauss-Bonnet gravity with a perfect fluid source in arbitrary dimension is studied. A systematic analysis is performed for the case that the theory does not admit maximally symmetric…

General Relativity and Quantum Cosmology · Physics 2018-03-15 Fabrizio Canfora , Alex Giacomini , Sergey A. Pavluchenko , Alexey Toporensky

Recently, a novel Einstein-Gauss-Bonnet gravity in four dimensions has been introduced [Phys. Rev. Lett. 124 (2020) 081301]. We will investigate cosmological consequences of this model in details. We will consider linear matter density…

General Relativity and Quantum Cosmology · Physics 2020-10-05 Zahra Haghani

A modified Einstein-Gauss-Bonnet gravity in four dimensions where the quadratic Gauss-Bonnet term is coupled to a scalar field is considered. The field equations of the model are obtained by variational methods by making use of the…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Hatice Özer , Ahmet Baykal , Özgür Delice

We study cosmological inflation in the Einstein gravity model, where additionally the Gauss-Bonnet term non-minimally coupled to a scalar field is included. We prove that inflationary solutions of exponential and power-law types are…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Igor V. Fomin , Sergey V. Chervon

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

We present a model in which the cosmological constant emerges as a purely geometric effect from the four-dimensional compactification of five-dimensional Einstein-Chern-Simons gravity. The compactification of the extra dimension generates…

General Relativity and Quantum Cosmology · Physics 2026-04-03 M. Cataldo , S. Lepe , C. Riquelme , P. Salgado

We derive four-dimensional effective theories for warped compactification of the ten-dimensional IIB supergravity and the eleven-dimensional Horava-Witten model. We show that these effective theories allow a much wider class of solutions…

High Energy Physics - Theory · Physics 2009-11-11 Hideo Kodama , Kunihito Uzawa

General Einstein-Gauss-Bonnet gravity with a cosmological constant allows two (A)dS spacetimes as its vacuum solutions. We find a critical point in the parameter space where the two (A)dS spacetimes coalesce into one and the linearized…

High Energy Physics - Theory · Physics 2016-11-03 Zhong-Ying Fan , Bin Chen , Hong Lu

We study the possibility that the vacuum energy density of scalar and internal-space gauge fields arising from the process of dimensional reduction of higher dimensional gravity theories plays the role of quintessence. We show that, for the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. C. Bento , O. Bertolami

We propose a procedure for the $D\rightarrow 4$ limit of Einstein-Gauss-Bonnet (EGB) gravity that leads to a well defined action principle in four dimensions. Our construction is based on compactifying $D$-dimensional EGB gravity on a…

General Relativity and Quantum Cosmology · Physics 2020-09-03 H. Lu , Yi Pang

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 investigate the regularized four-dimensional Einstein-Gauss-Bonnet ($4D$ EGB) gravity with a non-minimal scalar coupling function, which is an extension of the regularized $4D$ EGB theory. By introducing non-minimal coupling to the…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Bilguun Bayarsaikhan , Sunly Khimphun , Phearun Rithy , Gansukh Tumurtushaa

We consider dynamics of a scalar field in compactification scenario of Einstein-Gauss-Bonnet cosmology. It is shown that if the field is non-minimally coupled to curvature, its asymptotic value under certain conditions may be shifted from…

General Relativity and Quantum Cosmology · Physics 2024-09-27 Dmitry Chirkov , Alex Giacomini , Alexey Toporensky , Petr Tretyakov

We consider the compactification of (d+n)-dimensional pure gravity and of superstring/M-theory on an n-dimensional internal space to a d-dimensional FLRW cosmology, with spatial curvature k=-1,0,+1, in Einstein conformal frame. The internal…

High Energy Physics - Theory · Physics 2009-11-10 Mattias N. R. Wohlfarth

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 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 cosmology on a conical brane in the six-dimensional Einstein-Maxwell-dilaton system, where the extra dimensions are compactified by a magnetic flux. We systematically construct exact cosmological solutions using the fact that the…

High Energy Physics - Theory · Physics 2009-11-13 Tsutomu Kobayashi , Masato Minamitsuji

We look at general braneworlds in six-dimensional Einstein-Gauss-Bonnet gravity. We find the general matching conditions for the Einstein-Gauss-Bonnet braneworld, which remarkably turn out to give precisely the four-dimensional Einstein…

High Energy Physics - Theory · Physics 2009-11-10 Paul Bostock , Ruth Gregory , Ignacio Navarro , Jose Santiago

We investigate the $D\rightarrow 4$ limit of the $D$-dimensional Einstein-Gauss-Bonnet gravity, where the limit is taken with $\tilde{\alpha}=(D-4)\, \alpha$ kept fixed and $\alpha$ is the original Gauss-Bonnet coupling. Using the ADM…

General Relativity and Quantum Cosmology · Physics 2020-10-12 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama