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Recently a $D$-dimensional regularization approach leading to the non-trivial $(3+1)$-dimensional Einstein-Gauss-Bonnet (EGB) effective description of gravity was formulated which was claimed to bypass the Lovelock's theorem and avoid…

General Relativity and Quantum Cosmology · Physics 2020-11-16 R. A. Konoplya , A. F. Zinhailo

In this brief report, we investigate the existence of 4-dimensional static spherically symmetric black holes (BHs) in the Einstein-complex-scalar-Gauss-Bonnet (EcsGB) gravity with an arbitrary potential $V(\phi)$ and a coupling $f(\phi)$…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Kai Lin , Shaojun Zhang , Chao Zhang , Xiang Zhao , Bin Wang , Anzhong Wang

In four-dimensional scalar-tensor theories derived via dimensional regularization with a conformal rescaling of the metric, we study the stability of planar black holes (BHs) whose horizons are described by two-dimensional compact Einstein…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Antonio De Felice , Shinji Tsujikawa

We investigate the linear stability of scalarized black holes (BHs) and neutron stars (NSs) in the Einstein-scalar-Gauss-Bonnet (GB) theories against the odd- and even-parity perturbations including the higher multipole modes. We show that…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Masato Minamitsuji , Shinji Mukohyama

A (3+1)-dimensional Einstein-Gauss-Bonnet effective description of gravity has been recently formulated as the $D \to 4$ limit of the higher dimensional field equations after the rescaling of the coupling constant. This approach has been…

General Relativity and Quantum Cosmology · Physics 2020-08-11 R. A. Konoplya , A. Zhidenko

We investigate the stability analysis of Schwarzschild black hole in Einstein-scalar-Gauss-Bonnet (ESGB) theory because the instability of Schwarzschild black hole without scalar hair implies the Gauss-Bonnet black hole with scalar hair.…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Yun Soo Myung , De-Cheng Zou

Supported by the use of a regular scalar field we find a black hole solution in the Einstein-Gauss-Bonnet model. From the obtained solution we can recover the Schwarzschild black hole as in other works. Later, by implementing the odd parity…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Gilberto Aguilar-Pérez , Miguel Cruz , Samuel Lepe , Israel Moran-Rivera

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 study linear perturbations about non rotating black hole solutions in scalar-tensor theories, more specifically Horndeski theories. We consider two particular theories that admit known hairy black hole solutions. The first one,…

General Relativity and Quantum Cosmology · Physics 2022-11-03 David Langlois , Karim Noui , Hugo Roussille

We study the stability of an asymptotically flat, static, spherically symmetric naked singularity spacetime in the novel four dimensional Einstein-Gauss-Bonnet (EGB) gravity. The four dimensional EGB black hole for large enough values of…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Avijit Chowdhury , Saraswati Devi , Sayan Chakrabarti

Can a black hole that suffers a superradiant instability evolve towards a 'hairy' configuration which is stable? We address this question in the context of Einstein-charged scalar field theory. First, we describe a family of static black…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Sam R Dolan , Supakchai Ponglertsakul , Elizabeth Winstanley

We study the axial perturbations of spontaneously scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories. We consider the nodeless solutions of the fundamental branch of the model studied in [1], which possesses a region of radially…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Sarah Kahlen , Jutta Kunz , Petya Nedkova , Stoytcho S. Yazadjiev

In Einstein-Aether gravity, we revisit the issue of linear stabilities of black holes against odd-parity perturbations on a static and spherically symmetric background. In this theory, superluminal propagation is allowed and there is a…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Shinji Mukohyama , Shinji Tsujikawa , Anzhong Wang

We explore charged black hole solutions in Einstein-Gauss-Bonnet gravity in five dimensions, with a charged scalar hair. We interpret such hairy black holes as the final state of the superradiant instability previously reported for this…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Nicolas Grandi , Ignacio Salazar Landea

In a subclass of generalized Proca theories where a cubic vector Galileon term breaks the $U(1)$ gauge invariance, it is known that there are static and spherically symmetric black hole (BH) solutions endowed with nonvanishing temporal and…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

Scalar-tensor theories of gravity where a new scalar degree of freedom couples to the Gauss-Bonnet invariant can exhibit the phenomenon of spontaneous black hole scalarization. These theories admit both the classic black holes predicted by…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Hector O. Silva , Caio F. B. Macedo , Thomas P. Sotiriou , Leonardo Gualtieri , Jeremy Sakstein , Emanuele Berti

The EGB is an outcome of quadratic curvature corrections to the Einstein-Hilbert gravity action in the form of a Gauss-Bonnet (GB) term in $ D > 4$ dimensions, and EGB gravity is topologically invariant in $4D$. Several ways have been…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Arun Kumar , Sushant G. Ghosh

We investigate the linear stability of topological black hole solutions to four-dimensional SU(N) Einstein-Yang-Mills theory with a negative cosmological constant. We here extend recent results in the field which prove the existence of…

General Relativity and Quantum Cosmology · Physics 2015-07-14 J. Erik Baxter

The $U(1)$ gauge-invariant scalar-vector-tensor theories, which catches five degrees of freedom, are valuable for its implications to inflation problems, generation of primordial magnetic fields, new black hole (BH) and neutron star…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Chao Zhang , Ryotaro Kase
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