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In regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2022-08-02 Shinji Tsujikawa

In this paper, we study static and spherically symmetric black hole (BH) solutions in the scalar-tensor theories with the coupling of the scalar field to the Gauss-Bonnet (GB) term $\xi (\phi) R_{\rm GB}$, where $R_{\rm…

General Relativity and Quantum Cosmology · Physics 2019-02-14 Masato Minamitsuji , Taishi Ikeda

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

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 Einstein-Gauss-Bonnet gravity in five dimensions is extended by scalar fields and the corresponding equations are reduced to a system of non-linear differential equations. A large family of regular solutions of these equations is shown…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Y. Brihaye , L. Ducobu

We consider the Einstein-scalar-Gauss-Bonnet theory in the presence of a cosmological constant $\Lambda$, either positive or negative, and look for novel, regular black-hole solutions with a non-trivial scalar hair. We first perform an…

High Energy Physics - Theory · Physics 2019-03-11 Athanasios Bakopoulos , Georgios Antoniou , Panagiota Kanti

In full Horndeski theories, we show that the static and spherically symmetric black hole (BH) solutions with a static scalar field~$\phi$ whose kinetic term~$X$ is nonvanishing on the BH horizon are generically prone to ghost/Laplacian…

General Relativity and Quantum Cosmology · Physics 2022-08-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa

Einstein-Gauss-Bonnet-gravity (EGB) coupled minimally to a $U(1)$ gauged, massive scalar field possesses -- for appropriate choices of the $U(1)$ charge -- black hole solutions that carry charged scalar hair if the frequency of the harmonic…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Yves Brihaye , Betti Hartmann

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 study the stability of static, hyperbolic Gauss-Bonnet black holes in (4+1)-dimensional Anti-de-Sitter (AdS) space-time against the formation of scalar hair. Close to extremality the black holes possess a near-horizon topology of AdS_2 x…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Yves Brihaye , Betti Hartmann

In this Ph.D. dissertation we study the emergence of black-hole and wormhole solutions in the framework of the Einstein-scalar-Gauss-Bonnet (EsGB) theory. Particularly we study a family of theories where the coupling function $f(\phi)$…

General Relativity and Quantum Cosmology · Physics 2020-10-27 Athanasios Bakopoulos

In the present paper we consider multi-scalar extension of Einstein-Gauss-Bonnet gravity. We focus on multi-scalar Einstein-Gauss-Bonnet models whose target space is a three-dimensional maximally symmetric space, namely either…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Daniela D. Doneva , Kalin V. Staykov , Stoytcho S. Yazadjiev , Radostina Z. Zheleva

In this paper we construct a class of hairy static black holes of higher dimensional Einstein-Skyrme theories with the cosmological constant $\Lambda \le 0$ whose scalar is an $SU(2)$ valued field. The spacetime is set to be conformal to $…

High Energy Physics - Theory · Physics 2022-02-21 Bobby E. Gunara , Fiki T. Akbar , Rizqi Fadli , Deden M. Akbar , Hadi Susanto

Nonlinearly scalarized black holes are investigated in Einstein-scalar-Gauss-Bonnet (EsGB) theory with polynomial coupling functions $\zeta(\phi)$ satisfying $\zeta''(0) = 0$, where $\zeta'(\phi) = 0$ features besides $\phi=0$ solutions…

General Relativity and Quantum Cosmology · Physics 2026-05-12 De-Cheng Zou , Xu Yang , Meng-Yun Lai , Hyat Huang , Bo Liu , Jutta Kunz , Yun Soo Myung , Rui-Hong Yue

We consider static, spherically symmetric, electrically or/and magnetically charged configurations of a minimally coupled scalar field with an arbitrary potential $V(\phi)$ in general relativity. Using the inverse problem method, we obtain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. A. Bronnikov , M. S. Chernakova

We study the phase space of the spherically symmetric solutions of Einstein Gauss-Bonnet system nonminimally coupled to a scalar field and show that in four dimensions the only regular black hole solutions are asymptotically flat

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Melis , S. Mignemi

We investigate static and spherically symmetric black hole (BH) solutions in shift-symmetric quadratic-order degenerate higher-order scalar-tensor (DHOST) theories. We allow a nonconstant kinetic term $X=g^{\mu\nu}…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Masato Minamitsuji , James Edholm

We construct spinning black holes (BHs) in shift-symmetric Horndeski theory. This is an Einstein-scalar-Gauss-Bonnet model wherein the (real) scalar field couples linearly to the Gauss-Bonnet curvature squared combination. The BH solutions…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu

A static spherically symmetric metric in Einstein-scalar-tensor gravity theory with a scalar field potential $V[\phi]$ is non-singular for all real values of the coordinates. It does not have a black hole event horizon and there is no…

General Relativity and Quantum Cosmology · Physics 2008-06-11 J. W. Moffat

In this paper, we systematically study spherically symmetric static spacetimes in the framework of Einstein-aether theory, and pay particular attention to the existence of black holes (BHs). In the present studies we first clarify several…

General Relativity and Quantum Cosmology · Physics 2020-09-18 Chao Zhang , Xiang Zhao , Kai Lin , Shaojun Zhang , Wen Zhao , Anzhong Wang
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