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Black-hole uniqueness, i.e., the statement that all stationary vacuum black holes in the universe are described by the Kerr solution, is expected to break in theories beyond General Relativity. This breaking can take a particularly strong…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Astrid Eichhorn , Pedro G. S. Fernandes , Lidia Marino

We identify a class of scalar-tensor theories with coupling between the scalar and the Gauss-Bonnet invariant that exhibit spontaneous scalarization for both black holes and compact stars. In particular, these theories formally admit all of…

General Relativity and Quantum Cosmology · Physics 2018-04-04 Hector O. Silva , Jeremy Sakstein , Leonardo Gualtieri , Thomas P. Sotiriou , Emanuele Berti

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Dimitrios Psaltis

We consider the Einstein-scalar-Gauss-Bonnet theory, and study the case where a negative cosmological constant is replaced by a more realistic, negative scalar-field potential. We study different forms of the coupling function between the…

High Energy Physics - Theory · Physics 2020-05-06 Athanasios Bakopoulos , Panagiota Kanti , Nikolaos Pappas

In the present paper we consider the extended scalar-tensor-Gauss-Bonnet gravity with a massive scalar field. We prove numerically the existence of Gauss-Bonnet black holes for three different forms of the coupling function including the…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Daniela D. Doneva , Kalin V. Staykov , Stoytcho S. Yazadjiev

Black holes represent outstanding astrophysical laboratories to test the strong gravity regime, since alternative theories of gravity may predict black hole solutions whose may differ distinctly from those of General Relativity. When higher…

General Relativity and Quantum Cosmology · Physics 2022-03-03 Jose Luis Blázquez-Salcedo , Burkhard Kleihaus , Jutta Kunz

In a recent Letter we have shown that in shift-symmetric Horndeski theory the scalar field is forced to obtain a nontrivial configuration in black hole spacetimes, unless a linear coupling with the Gauss-Bonnet invariant is tuned away. As a…

General Relativity and Quantum Cosmology · Physics 2016-02-12 Thomas P. Sotiriou , Shuang-Yong Zhou

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

In this paper, we find new scalarized black holes by coupling a scalar field with the Gauss-Bonnet invariant in Teleparallel gravity. The Teleparallel formulation of this theory uses torsion instead of curvature to describe the…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Sebastian Bahamonde , Daniela D. Doneva , Ludovic Ducobu , Christian Pfeifer , Stoytcho S. Yazadjiev

To what extent are all astrophysical, dark, compact objects both black holes (BHs) and described by the Kerr geometry? We embark on the exercise of defying the universality of this remarkable idea, often called the "Kerr hypothesis". After…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Carlos A. R. Herdeiro

In general relativity, astrophysical black holes are simple objects, being described by just their mass and spin. These simple solutions are not exclusive to general relativity, as they also appear in theories that allow for an extra scalar…

General Relativity and Quantum Cosmology · Physics 2020-03-02 Caio F. B. Macedo

Considerable attention has recently focused on gravity theories obtained by extending general relativity with additional scalar, vector, or tensor degrees of freedom. In this paper, we show that the black-hole solutions of these theories…

Astrophysics · Physics 2008-11-26 Dimitrios Psaltis , Delphine Perrodin , Keith R. Dienes , Irina Mocioiu

Generalizations of the Schwarzschild and Kerr black holes are discussed in an astrophysically viable generalized theory of gravity, which includes higher curvature corrections in the form of the Gauss-Bonnet term, coupled to a dilaton. The…

One of the most promising avenues to perform numerical evolutions in theories beyond General Relativity is the fixing-the-equations approach, a proposal in which new ``driver'' equations are added to the evolution equations in a way that…

In this study, we investigate a nonlinear mechanism driving the formation of scalarized rotating black holes within a scalar-Gauss-Bonnet gravity framework that includes an additional squared Gauss-Bonnet term. With the specific coupling…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

Spontaneous scalarization in Einstein-scalar-Gauss-Bonnet theory admits both vacuum-general relativity (GR) and scalarized hairy black holes as valid solutions, which provides a distinctive signature of new physics in strong gravity regime.…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Xi-Jing Wang , Yuan Meng , Xiao-Mei Kuang , Kai Liao

Black holes in scalar-Gauss-Bonnet gravity are prone to scalarization, that is a spontaneous development of scalar hair for strong enough spacetime curvature while the weak field regime of the theory coincides with general relativity. Since…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Daniela D. Doneva , Alex Vañó-Viñuales , Stoytcho S. Yazadjiev

We propose a new model of black hole spontaneous scalarization that combines a scalar--Gauss--Bonnet interaction with a non--minimal coupling to a U(1) gauge field (a dark photon or an electromagnetic field). This construction generalizes…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Zakaria Belkhadria , Salvatore Mignemi

We study static black holes in scalar-Gauss-Bonnet (sGB) gravity with a massive scalar field as an example of higher curvature gravity. The scalar mass introduces an additional scale and leads to a strong suppression of the scalar field…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Iris van Gemeren , Tanja Hinderer , Stefan Vandoren

In the context of General Relativity, black holes are not allowed to possess scalar hair, wormholes are not traversable and particle-like solutions are irregular. Therefore, in order to derive novel and physically interesting solutions that…

General Relativity and Quantum Cosmology · Physics 2024-12-31 Panagiota Kanti
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