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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 investigate the structure of nontrivial maximally symmetric vacua and compact-object solutions in shift-symmetric scalar-tensor theories. Focusing on Horndeski gravity, we derive consistency conditions directly from the field equations…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Athanasios Bakopoulos , Christos Charmousis , Nikos Chatzifotis , Theodoros Nakas

Superpotentials (antisymmetric tensor densities) in Einstein-Gauss-Bonnet (EGB) gravity for arbitrary types of perturbations on arbitrary curved backgrounds are constructed. As a basis, the generalized conservation laws in the framework of…

General Relativity and Quantum Cosmology · Physics 2010-04-30 A. N. Petrov

Scalar-Gauss-Bonnet (sGB) gravity with an additional coupling between the scalar field and the Ricci scalar exhibits very interesting properties related to black hole stability, evasion of binary pulsar constraints, and general relativity…

General Relativity and Quantum Cosmology · Physics 2024-04-25 Daniela D. Doneva , Llibert Aresté Saló , Stoytcho S. Yazadjiev

A $(3+1)$-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. {\bf 124}, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's…

General Relativity and Quantum Cosmology · Physics 2020-09-21 R. A. Konoplya , A. Zhidenko

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 study the cosmological evolution of a scalar field in Horndeski gravity, assuming that the scalar field is subdominant with respect to the cosmic fluid. We first analyse the most general shift-symmetric action that respects local Lorentz…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Nicola Franchini , Thomas P. Sotiriou

General Einstein-Gauss-Bonnet gravity with a cosmological constant allows two (A)dS spacetimes as its vacuum solutions. We find a critical point in the parameter space where the two (A)dS spacetimes coalesce into one and the linearized…

High Energy Physics - Theory · Physics 2016-11-03 Zhong-Ying Fan , Bin Chen , Hong Lu

A linear coupling between a scalar field and the Gauss-Bonnet invariant is the only known interaction term between a scalar and the metric that: respects shift symmetry; does not lead to higher order equations; inevitably introduces black…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Robert Benkel , Thomas P. Sotiriou , Helvi Witek

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

In the broad subclass of Horndeski theories with a luminal speed of gravitational waves, we derive gravitational waveforms emitted from a compact binary by considering the wave propagation on a spatially flat cosmological background. A…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-21 Miguel Quartin , Shinji Tsujikawa , Luca Amendola , Riccardo Sturani

We study the spacetime structures of the static solutions in the $n$-dimensional Einstein-Gauss-Bonnet-$\Lambda$ system systematically. We assume the Gauss-Bonnet coefficient $\alpha$ is non-negative. The solutions have the…

High Energy Physics - Theory · Physics 2009-11-11 Takashi Torii , Hideki Maeda

The study of modified gravity models has garnered significant attention because of their potential to provide alternative explanations for cosmological phenomena, such as the accelerated expansion of the universe and the nature of dark…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Davood Momeni , Ratbay Myrzakulov

The present work is devoted to studying the background dynamical evolution of a scalar field in Einstein-Gauss-Bonnet gravity in maximally symmetric space-time. This study is useful for giving meaning to the presence of two Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2023-04-04 M. Bousder , Z Sakhi

We consider a modified gravity model which we call "dynamical Henneaux-Teitelboim gravity" because of its close relationship with the Henneaux-Teitelboim formulation of unimodular gravity. The latter is a fully diffeomorphism-invariant…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Emma Albertini , Kyle Barnes , Gabriel Herczeg

Previous studies showed that, in the presence of a simple and well-motivated self-interaction scalar potential, asymptotically flat and spherical black holes can carry minimally coupled and charged scalar cloud/hair in Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Shao-Jun Zhang

We study the post-Newtonian dynamics of black hole binaries in Einstein-scalar-Gauss-Bonnet gravity theories. To this aim we build static, spherically symmetric black hole solutions at fourth order in the Gauss-Bonnet coupling $\alpha$. We…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Félix-Louis Julié , Emanuele Berti

Effective gravitational field equations on a four dimensional brane embedded in a five dimensional bulk have been considered. Using the Einstein-Hilbert action along with the Gauss-Bonnet correction term, we have derived static spherically…

General Relativity and Quantum Cosmology · Physics 2016-10-21 Sumanta Chakraborty , Soumitra SenGupta

We develop a geometric realization of a broad class of generalized black hole entropy functionals by establishing their direct correspondence with the Misner$-$Sharp quasilocal mass and the Wald Noether$-$charge entropy in scalar$-$tensor…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Hussain Gohar

An alternative theory of gravity that has attracted much attention recently is the novel four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity. The theory is rescaled by the Gauss-Bonnet (GB) coupling constant $\alpha \rightarrow…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Khadije Jafarzade , Mahdi Kord Zangeneh , Francisco S. N. Lobo