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We study the boundary value problem for the stationary rotating black hole solutions to the five-dimensional vacuum Einstein equation. Assuming the two commuting rotational symmetry and the sphericity of the horizon topology, we show that…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Yoshiyuki Morisawa , Daisuke Ida

Applying the large $D$ approach to the Einstein-Gauss-Bonnet theory, we construct equally rotating black hole solutions in odd dimensions. This provides the first example of the analytic solutions which describes not-slowly rotating black…

High Energy Physics - Theory · Physics 2022-07-27 Ryotaku Suzuki , Shinya Tomizawa

We study the 5-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski", "quasi anti-de…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Naoya Okuyama , Kei-ichi Maeda

We consider charged rotating black holes in $D=2N+1$ dimensions, $D \ge 5$. While these black holes generically possess $N$ independent angular momenta, associated with $N$ distinct planes of rotation, we here focus on black holes with…

High Energy Physics - Theory · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida , Jan Viebahn

By using a new approach, we demonstrate analytic expressions for slowly rotating Gauss-Bonnet charged black holes with negative cosmological constant. Up to the linear order of the rotating parameter a, the mass, Hawking temperature and…

General Relativity and Quantum Cosmology · Physics 2011-10-04 De-Cheng Zou , Zhan-Ying Yang , Rui-Hong Yue

This paper presents a new metric and studies slowly rotating Gauss-Bonnet black holes with one nonvanishing angular momentum in five dimensional anti-de Sitter spaces. Taking the angular momentum parameter $a$ up to second order, the slowly…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Rui-Hong Yue , De-Cheng Zou , Tian-Yi Yu , Zhan-Ying Yang

We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d-2)-dimensional Einstein manifold of positive, zero, or…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham

Charged rotating black holes of Einstein-Maxwell-Chern-Simons theory in odd dimensions, $D \ge 5$, may possess a negative horizon mass, while their total mass is positive. This surprising feature is related to the existence of…

High Energy Physics - Theory · Physics 2008-11-26 Jutta Kunz , Francisco Navarro-Lerida

Black holes in 5-dimensional Einstein-Maxwell-Chern-Simons (EMCS) theory and their intriguing properties are discussed. For the special case of the CS coupling constant $\lambda=\lambda_{SG}$, as obtained from supergravity, a closed form…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Jutta Kunz , Jose Luis Blázquez-Salcedo , Francisco Navarro-Lérida , Eugen Radu

We propose to compute the action and global charges of the asymptotically anti-de Sitter solutions in Einstein-Gauss-Bonnet theory by adding boundary counterterms to the gravitational action. The general expression of the counterterms and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yves Brihaye , Eugen Radu

We propose to compute the action and global charges of the asymptotically de Sitter solutions in Einstein-Gauss-Bonnet theory by using the counterterms method in conjunction with the quasilocal formalism. The general expression of the…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Y. Brihaye , E. Radu

We study black hole solutions in the Einstein gravity with Gauss-Bonnet term, the dilaton and a positive "cosmological constant" in various dimensions. Physically meaningful black holes with a positive cosmological term are obtained only…

High Energy Physics - Theory · Physics 2014-11-20 Nobuyoshi Ohta , Takashi Torii

Using perturbative expansion in terms of powers of the rotation parameter $a$ we construct the axisymmetric and asymptotically flat black-hole metric in the $D$-dimensional Einstein-Gauss-Bonnet theory. In five-dimensional spacetime we find…

General Relativity and Quantum Cosmology · Physics 2020-10-15 R. A. Konoplya , A. Zhidenko

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 rotating black holes in Einstein-scalar-Gauss-Bonnet theory with a quadratic coupling function. We map the domain of existence of the rotating fundamental solutions, we construct radially excited rotating black holes (including…

General Relativity and Quantum Cosmology · Physics 2020-03-16 Lucas G. Collodel , Burkhard Kleihaus , Jutta Kunz , Emanuele Berti

We study the phase space of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein-Gauss-Bonnet action with a cosmological constant. We show that all the physical solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Melis , S. Mignemi

We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They are physical mass, electric charge, cosmological constant and the coupling…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Shuang Yu , Changjun Gao

We construct an exact solution in four-dimensional Einstein-Maxwell-dilaton theory, describing multi-centered rotating black holes carrying both electric and magnetic charges, obtained via dimensional reduction from five-dimensional…

High Energy Physics - Theory · Physics 2025-10-01 Shinya Tomizawa , Jun-ichi Sakamoto , Ryotaku Suzuki

We construct exact solutions, which represent regular charged rotating Kaluza-Klein multi-black holes in the five-dimensional pure Einstein-Maxwell theory. Quantization conditions between the mass, the angular momentum, and charges appear…

High Energy Physics - Theory · Physics 2012-11-28 Ken Matsuno , Hideki Ishihara , Masashi Kimura , Takamitsu Tatsuoka

We construct exact charged rotating black holes in Einstein-Maxwell-dilaton theory in $D$ spacetime dimensions, $D \ge 5$, by embedding the $D$ dimensional Myers-Perry solutions in $D+1$ dimensions, and performing a boost with a subsequent…

High Energy Physics - Theory · Physics 2008-11-26 Jutta Kunz , Dieter Maison , Francisco Navarro-Lerida , Jan Viebahn