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A novel four-dimensional Einstein-Gauss-Bonnet gravity was formulated by D. Glavan and C. Lin [Phys. Rev. Lett. 124, 081301 (2020)], which is intended to bypass the Lovelock's theorem and to yield a non-trivial contribution to the…

广义相对论与量子宇宙学 · 物理学 2020-07-27 Ke Yang , Bao-Min Gu , Shao-Wen Wei , Yu-Xiao Liu

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…

广义相对论与量子宇宙学 · 物理学 2023-03-23 Bilguun Bayarsaikhan , Sunly Khimphun , Phearun Rithy , Gansukh Tumurtushaa

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…

高能物理 - 理论 · 物理学 2016-11-03 Zhong-Ying Fan , Bin Chen , Hong Lu

Recently, a novel four-dimensional Einstein-Gauss-Bonnet (EGB) theory was presented to bypass the Lovelock's theorem and to give nontrivial effects on the four-dimensional local gravity. The main mechanism is to introduce a redefinition…

广义相对论与量子宇宙学 · 物理学 2020-11-19 Zi-Chao Lin , Ke Yang , Shao-Wen Wei , Yong-Qiang Wang , Yu-Xiao Liu

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…

高能物理 - 理论 · 物理学 2009-11-10 Paul Bostock , Ruth Gregory , Ignacio Navarro , Jose Santiago

In a very recent paper [1], we have proposed a novel $4$-dimensional gravitational theory with two dynamical degrees of freedom, which serves as a consistent realization of $D\to4$ Einstein-Gauss-Bonnet gravity with the rescaled…

广义相对论与量子宇宙学 · 物理学 2021-04-29 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama

The Gauss-Bonnet gravity is a special case of so-called Quadratic Gravity, which is an extension of Einstein's theory with additional terms in action that are quadratic combinations of the Riemann tensor and its contractions. These…

广义相对论与量子宇宙学 · 物理学 2018-01-03 Ondrej Hruska , Jiri Podolsky

The Wess-Zumino consistency condition for four-dimensional Einstein gravity is investigated in the space of local forms involving the fields, the ghosts, the antifields and their derivatives. Its general solution is constructed for all…

高能物理 - 理论 · 物理学 2010-01-06 G. Barnich , F. Brandt , M. Henneaux

We consider gravity theories in $4+N$ dimensions which are governed by the Lagrangian written as an extended Gauss-Bonnet density. We can find a naturally generalized Einstein gravity where the maximal symmetric compactification leads to…

广义相对论与量子宇宙学 · 物理学 2012-05-03 Kiyoshi Shiraishi

In this work we explore the dynamical system phase space of Einstein-Gauss-Bonnet theory in the cosmological minisuperspace. This approach binds the main features of the theory through a system of autonomous differential equations, in the…

广义相对论与量子宇宙学 · 物理学 2022-11-14 Konstantinos F. Dialektopoulos , Jackson Levi Said , Zinovia Oikonomopoulou

In this paper, we treat 4-dimensional Einstein-Gauss-Bonnet gravity as general relativity with an effective stress-energy tensor. We will study the modified Oppenheimer-Snyder-Datt model of the gravitational collapse of a star in a…

广义相对论与量子宇宙学 · 物理学 2023-02-22 R. Hassannejad , A. Sadeghi , F. Shojai

A new solution of the Einstein-Born-Infeld theory in 2+1 space-time is derived. A new solution has no horizon there are two singularity. This space-time has two singular points, however, one of the point at the origin is not in the physical…

广义相对论与量子宇宙学 · 物理学 2014-02-14 Masashi Kuniyasu

We study Einstein-Gauss-Bonnet gravity coupled to a bumblebee field which leads to a spontaneous Lorentz symmetry breaking in the gravitational sector. We obtain an exact black hole solution and a cosmological solution in four dimensional…

广义相对论与量子宇宙学 · 物理学 2022-02-03 Chikun Ding , Xiongwen Chen , Xiangyun Fu

In this paper, starting from the common foundation of Connes' noncommutative geometry (NCG) [1,2,3,4], various possible alternatives in the formulation of a theory of gravity in noncommutative spacetime are discussed in detail. The…

高能物理 - 理论 · 物理学 2007-05-23 Nguyen Ai Viet

A $(3+1)$-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. {\bf 124}, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's…

广义相对论与量子宇宙学 · 物理学 2020-09-21 R. A. Konoplya , A. Zhidenko

Purely time dependent solutions in four-dimensional Einstein-Cartan-Kalb-Ramond (ECKR) theory of gravity are shown not to be possible leading to a trivial vanishing of all Kalb-Ramond fields. This result seems to contradict previously…

广义相对论与量子宇宙学 · 物理学 2007-05-23 L. C. Garcia de Andrade

In this paper we study dynamical compactification in Einstein-Gauss-Bonnet gravity from arbitrary dimension for generic values of the coupling constants. We showed that, when the curvature of the extra dimensional space is negative, for any…

广义相对论与量子宇宙学 · 物理学 2013-09-26 Fabrizio Canfora , Alex Giacomini , Sergey A. Pavluchenko

Recently a non-trivial 4-dimensional theory of gravity that claims to circumvent Lovelock's theorem and avoid Ostrogradsky instability was formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. 124, 081301 (2020)]. This theory, named "$4D$…

广义相对论与量子宇宙学 · 物理学 2020-05-14 Pedro G. S. Fernandes

We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a…

广义相对论与量子宇宙学 · 物理学 2021-06-07 Pedro G. S. Fernandes

In this paper we present a new unified theory of electromagnetic and gravitational interactions. By considering a four-dimensional spacetime as a hypersurface embedded in a five-dimensional bulk spacetime, we derive the complete set of…

广义相对论与量子宇宙学 · 物理学 2016-07-05 Li-Xin Li