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As is well-known, Kerr-Schild metrics linearize the Einstein tensor. We shall see here that they also simplify the Gauss-Bonnet tensor, which turns out to be only quadratic in the arbitrary Kerr-Schild function f when the seed metric is…

High Energy Physics - Theory · Physics 2009-10-09 Andres Anabalon , Nathalie Deruelle , Yoshiyuki Morisawa , Julio Oliva , Misao Sasaki , David Tempo , Ricardo Troncoso

The regularization procedure for getting the four-dimensional nontrivial Einstein-Gauss-Bonnet effective description of gravity and its Lovelock generalization has been recently developed. Here we propose the regularization for the…

General Relativity and Quantum Cosmology · Physics 2020-09-04 R. A. Konoplya , A. Zhidenko

We present arguments for the existence of five-dimensional rotating black holes with equal magnitude angular momenta in Einstein-Gauss-Bonnet theory with negative cosmological constant. These solutions posses a regular horizon of spherical…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , E. Radu

We consider 1+4 dimensional black string solutions which are invariant under translation along the fifth direction. The solutions are characterized by the two parameters, mass and tension, of the source. The Gregory-Laflamme solution is…

High Energy Physics - Theory · Physics 2008-11-26 Chul H. Lee

We construct balanced black ring solutions in $d\geq 6$ spacetime dimensions, by solving the Einstein field equations numerically with suitable boundary conditions. The black ring solutions have a regular event horizon with $S^1\times…

High Energy Physics - Theory · Physics 2015-06-05 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

The $(2k)$-th Gauss-Bonnet curvature is a generalization to higher dimensions of the $(2k)$-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for $k=1$. The Gauss-Bonnet curvatures are used in theoretical…

Differential Geometry · Mathematics 2008-12-19 Mohammed Larbi Labbi

The d-dimensional string generated gravity models lead to Einstein-Maxwell equations with quadratic order correction term called the Gauss-Bonnet term. We calculate the quasinormal modes for the d-dimensional charged black hole in the…

High Energy Physics - Theory · Physics 2009-11-10 Roman Konoplya

We present nonuniform vacuum black strings in five and six spacetime dimensions. The conserved charges and the action of these solutions are computed by employing a quasilocal formalism. We find qualitative agreement of the physical…

High Energy Physics - Theory · Physics 2009-11-11 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

Recently, there has been significant interest regarding the regularization of a $D\rightarrow 4$ limit of Einstein-Gauss-Bonnet (EGB) gravity. This regularization involves re-scaling the Gauss-Bonnet (GB) coupling constant as…

General Relativity and Quantum Cosmology · Physics 2024-08-14 Zinnat Hassan , P. K. Sahoo

In this paper, we present exact spherically symmetric Gauss-Bonnet black hole solutions surrounded by a cloud of strings fluid with cosmological constant in $D>4$ dimensions. Both charged and uncharged cases are considered. We focus on the…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Wenxi Zhai , Xiangdong Zhang

We construct higher-dimensional generalizations of the Eguchi-Hanson gravitational instanton in the presence of higher-curvature deformations of general relativity. These spaces are solutions to Einstein gravity supplemented with the…

High Energy Physics - Theory · Physics 2022-11-03 Cristóbal Corral , Daniel Flores-Alfonso , Gastón Giribet , Julio Oliva

We present an investigation of spinning black holes in Einstein--Gauss-Bonnet--dilaton (EGBd) theory. The solutions are found within a non-perturbative approach, by directly solving the field equations. These stationary axially symmetric…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Burkhard Kleihaus , Jutta Kunz , Sindy Mojica , Eugen Radu

In this study, we investigate rotating black hole solutions within a scalar Gauss-Bonnet gravity framework that incorporates a squared Gauss-Bonnet term. By employing a quadratic exponential coupling function between the scalar field and…

General Relativity and Quantum Cosmology · Physics 2025-08-14 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

We explore via linearized perturbation theory the Gregory-Laflamme instability of the black string solutions of Einstein's equations with negative cosmological constant recently discussed in literature. Our results indicate that the black…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , T. Delsate , E. Radu

In the framework of scalar-Einstein-Gauss-Bonnet gravity, we construct the model which realizes the Hayward black hole and discuss the absence of ghosts in this model. Because Hayward black hole has two horizons but no curvature…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Shin'ichi Nojiri , G. G. L. Nashed

In this work, we present charged spherically symmetric anti-de Sitter black hole solutions in $d$ dimensions ($d \geq 5$) within the framework of extended Gauss--Bonnet gravity. Moreover, by employing dimensional regularization of the…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Jia-Zhou Liu , Si-Jiang Yang , Chun-Chun Zhu , Yu-Xiao Liu

We construct the membrane paradigm for black objects in Einstein-Gauss-Bonnet gravity in spacetime dimensions $ \ge 5$. As in the case of general relativity, the horizon can be modeled as a membrane endowed with fluidlike properties. We…

General Relativity and Quantum Cosmology · Physics 2017-04-17 Ted Jacobson , Arif Mohd , Sudipta Sarkar

We obtain the full 5D graviton propagator in the Randall-Sundrum model with the Gauss-Bonnet interaction. From the decomposition of the graviton propagator on the brane, we show that localization of gravity arises in the presence of the…

High Energy Physics - Theory · Physics 2009-10-31 Jihn E. Kim , Hyun Min Lee

The generalized $f(R)$ gravity with curvature-matter coupling in five-dimensional (5D) spacetime can be established by assuming a hypersurface-orthogonal spacelike Killing vector field of 5D spacetime, and it can be reduced to the 4D…

General Relativity and Quantum Cosmology · Physics 2014-04-22 Ya-Bo Wu , Yue-Yue Zhao , Jun-Wang Lu , Xue Zhang , Cheng-Yuan Zhang , Jia-Wei Qiao

A class of spinning magnetic string in 4-dimensional Einstein-dilaton gravity with Liouville type potential which produces a longitudinal nonlinear electromagnetic field is presented. These solutions have no curvature singularity and no…

High Energy Physics - Theory · Physics 2008-11-26 M. H. Dehghani , A. Sheykhi , S. H. Hendi