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We investigate vacuum static black hole solutions of Einstein-Gauss-Bonnet gravity with a negative cosmological constant in five dimensions. These are solutions with horizons of nontrivial topologies. The first one possesses a horizon with…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Yuxuan Peng

We present balanced black ring solutions of pure Einstein-Maxwell theory in five dimensions. The solutions are asymptotically flat, and their tension and gravitational self-attraction are balanced by the repulsion due to rotation and…

High Energy Physics - Theory · Physics 2015-05-20 Burkhard Kleihaus , Jutta Kunz , Kirsten Schnülle

We study asymptotically AdS topological black hole solutions with k=0 (plane symmetric) in the Einstein gravity with Gauss-Bonnet term, the dilaton and a "cosmological constant" in various dimensions. We derive the field equations for…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Zong-Kuan Guo , Nobuyoshi Ohta , Takashi Torii

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

In recent times there is a surge of interest in constructing Einstein-Gauss-Bonnet (EGB) gravity, in the limit $D \to 4 $, of the $D$-dimensional EGB gravity. Interestingly, the static spherically symmetric solutions in the various proposed…

General Relativity and Quantum Cosmology · Physics 2020-10-20 Sushant G. Ghosh , Rahul Kumar

The vacuum Einstein equations in five dimensions are shown to admit a solution describing an asymptotically flat spacetime regular on and outside an event horizon of topology S^1 x S^2. It describes a rotating ``black ring''. This is the…

High Energy Physics - Theory · Physics 2009-07-09 Roberto Emparan , Harvey S. Reall

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

New axisymmetric stationary solutions of the vacuum Einstein equations in five-dimensional asymptotically flat spacetimes are obtained by using solitonic solution-generating techniques. The new solutions are shown to be equivalent to the…

High Energy Physics - Theory · Physics 2009-11-11 Takashi Mishima , Hideo Iguchi

As is well-known, asymptotically flat, static and spherically symmetric black holes do not admit stable bound orbits of massive/massless particles outside the horizon in higher-dimensional Einstein gravity. However, for massive particles,…

High Energy Physics - Theory · Physics 2022-06-20 Ryotaku Suzuki , Shinya Tomizawa

We investigate static and dynamical n(\ge 6)-dimensional black holes in Einstein-Gauss-Bonnet gravity of which horizons have the isometries of an (n-2)-dimensional Einstein space with a condition on its Weyl tensor originally given by Dotti…

General Relativity and Quantum Cosmology · Physics 2010-12-27 Hideki Maeda

We investigate string or branelike solutions for four-dimensional vacuum Einstein equations in the presence of cosmological constant. For the case of negative cosmological constant, the Banados-Teitelboim-Zanelli black string is the only…

High Energy Physics - Theory · Physics 2013-05-29 Youngone Lee , Gungwon Kang , Hyeong-Chan Kim , Jungjai Lee

Black hole solutions in higher dimensional Einstein and Einstein-Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. N. Aliev

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

This paper deals with five-dimensional black hole solutions in (a) Einstein-Yang-Mills-Gauss-Bonnet theory and (b)Einstein-Maxwell-Gauss-Bonnet theory with a cosmological constant for spherically symmetric space time. The geometry of the…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Ritabrata Biswas , Subenoy Chakraborty

The field equations for static EGBM gravity are obtained and transformed to an equivalent form through a coordinate redefinition. A form for one of the metric potentials that generalises the spheroidal ansatz of Vaidya--Tikekar superdense…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Sudan Hansraj

Gauss-Bonnet gravity provides one of the most promising frameworks to study curvature corrections to the Einstein action in supersymmetric string theories, while avoiding ghosts and keeping second order field equations. Although…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Alexeyev , N. Popov , M. Startseva , A. Barrau , J. Grain

Einstein-Gauss-Bonnet gravity in five-dimensional spacetime provides an excellent example of a theory that, while including higher-order curvature corrections to General Relativity, still shares many of its features, such as second-order…

High Energy Physics - Theory · Physics 2015-06-05 Fernando Izaurieta , Eduardo Rodríguez

In this work we study static black holes in the regularized 4D Einstein-Gauss-Bonnet theory of gravity; a shift-symmetric scalar-tensor theory that belongs to the Horndeski class. This theory features a simple black hole solution that can…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Pedro G. S. Fernandes , Pedro Carrilho , Timothy Clifton , David J. Mulryne

We analyze the tensor mode perturbations of static, spherically symmetric solutions of the Einstein equations with a quadratic Gauss-Bonnet term in dimension $D > 4$. We show that the evolution equations for this type of perturbations can…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gustavo Dotti , Reinaldo J. Gleiser

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