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Towards the investigation of the full dynamics in higher-dimensional and/or stringy gravitational model, we present the basic equations of the Einstein-Gauss-Bonnet gravity theory. We show $(N+1)$-dimensional version of the ADM…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Takashi Torii , Hisa-aki Shinkai

We propose a new model of $D=4$ Gauss-Bonnet gravity. To avoid the usual property of the integral over the standard $D=4$ Gauss-Bonnet scalar becoming a total derivative term, we employ the formalism of metric-independent non-Riemannian…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

A `novel' pure theory of Einstein-Gauss-Bonnet gravity in four-spacetime dimensions can be constructed by rescaling the Gauss-Bonnet coupling constant, seemingly eluding Lovelock's theorem. Recently, however, the well-posedness of this…

High Energy Physics - Theory · Physics 2020-10-14 Damien A. Easson , Tucker Manton , Andrew Svesko

We consider cosmological dynamics in fourth order gravity with both $f(R)$ and $\Phi(\mathcal {G})$ correction to the Einstein gravity ($\mathcal{G}$ is the Gauss-Bonnet term). The particular case for which both terms are equally important…

General Relativity and Quantum Cosmology · Physics 2012-05-09 Mikhail M. Ivanov , Alexey V. Toporensky

Recently Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)] formulated the Einstein-Gauss-Bonnet (EGB) gravity by re-scaling GB coupling constant as $\alpha/(D-4)$ and taking limit $D \to 4$ at the level of field equations. The GB…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Kimet Jusufi , Ayan Banerjee , Sushant G. Ghosh

The modified Gauss-Bonnet gravity can be motivated by a number of physical reasons, including: the uniqueness of a gravitational Lagrangian in four and higher dimensions and the leading order $\alpha^\prime$ corrections in superstring…

High Energy Physics - Theory · Physics 2017-08-23 Ishwaree P. Neupane

4-Dimensional Einstein-Gauss-Bonnet (4DEGB) gravity has garnered significant attention in the last few years as a phenomenological competitor to general relativity. We consider the theoretical and observational implications of this theory…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-22 Carola M. A. Zanoletti , Brayden R. Hull , C. Danielle Leonard , Robert B. Mann

We study the stability of an asymptotically flat, static, spherically symmetric naked singularity spacetime in the novel four dimensional Einstein-Gauss-Bonnet (EGB) gravity. The four dimensional EGB black hole for large enough values of…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Avijit Chowdhury , Saraswati Devi , Sayan Chakrabarti

We consider the cosmology where some function f(G) of the Gauss-Bonnet term G is added to the gravitational action to account for the late-time accelerating expansion of the universe. The covariant and gauge invariant perturbation equations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Baojiu Li , John D. Barrow , David F. Mota

We investigate the evolution of anisotropies in Einstein-Gauss-Bonnet theory with a scalar field coupled to the Gauss-Bonnet term. Specifically, we examine the simplest scenario in which the scalar field lacks a kinetic term, and its…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Alex Giacomini , Andronikos Paliathanasis , Alexey Toporensky

The regularized four-dimensional Einstein-Gauss-Bonnet model has been recently proposed in [D. Glavan and C. Lin, Phys. Rev. Lett. \textbf{124}, 081301 (2020)] whose formulation is different of the Einstein theory, allowing us to bypass the…

General Relativity and Quantum Cosmology · Physics 2021-02-26 M. A. Cuyubamba

We present in detail a four-dimensional unified quantum theory. In this theory, we identify three class of parameters, coordinate-momentum, spin and gauge, as all and as the only fundamental parameters to describe quantum fields. The…

General Physics · Physics 2009-11-23 Chang-Yu Zhu , Heng Fan

The stability under radial and vertical perturbations of circular orbits associated to particles orbiting a spherically symmetric center of attraction is study in the context of the n-dimensional: Newtonian theory of gravitation, Einstein's…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valeria M. Rosa , Patricio S. Letelier

We consider the cosmological implications of a four-dimensional extension of the Gauss-Bonnet $f(G)$ gravity, where $G$ is the Gauss-Bonnet topological invariant, in which the Einstein-Hilbert action is replaced by an arbitrary function…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Ratul Mandal , Himanshu Chaudhary , Tiberiu Harko , Ujjal Debnath , G. Mustafa

We consider a "Scalar-Einstein-Gauss-Bonnet" theory in four dimension, where the scalar field couples non minimally with the Gauss-Bonnet (GB) term. This coupling with the scalar field ensures the non topological character of the GB term.…

High Energy Physics - Theory · Physics 2018-04-04 Narayan Banerjee , Tanmoy Paul

We show that in Gauss-Bonnet gravity with negative Gauss-Bonnet coefficient and without a cosmological constant, one can explain the acceleration of the expanding Universe. We first introduce a solution of the Gauss-Bonnet gravity with…

High Energy Physics - Theory · Physics 2009-11-10 M. H. Dehghani

In this brief report, we investigate the existence of 4-dimensional static spherically symmetric black holes (BHs) in the Einstein-complex-scalar-Gauss-Bonnet (EcsGB) gravity with an arbitrary potential $V(\phi)$ and a coupling $f(\phi)$…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Kai Lin , Shaojun Zhang , Chao Zhang , Xiang Zhao , Bin Wang , Anzhong Wang

We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose (4+d)-dimensional gravitational action contains terms proportional to quadratic curvature scalars.…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Carsten van de Bruck , Chris Longden

Six-dimensional Einstein-Gauss-Bonnet gravity (with a linear Gauss-Bonnet term) is investigated. This theory is inspired by basic features of results coming from string and M-theory. Dynamical compactification is carried out and it is seen…

High Energy Physics - Theory · Physics 2008-11-26 E. Elizalde , A. N. Makarenko , V. V. Obukhov , K. E. Osetrin , A. E. Filippov

A (3+1)-dimensional Einstein-Gauss-Bonnet effective description of gravity has been recently formulated as the $D \to 4$ limit of the higher dimensional field equations after the rescaling of the coupling constant. This approach has been…

General Relativity and Quantum Cosmology · Physics 2020-08-11 R. A. Konoplya , A. Zhidenko