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Recently, a new nonlinear mechanism for black hole scalarization, different from the standard spontaneous scalarization, was demonstrated to exist for scalar Gauss-Bonnet theories in which no tachyonic instabilities can occur. Thus…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Kalin V. Staykov , Daniela D. Doneva

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

We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes,…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Hideo Kodama

It is well known that asymptotically flat Schwarzschild black holes in general relativity in four spacetime dimensions have vanishing induced linear tidal response. We extend this result beyond linear order for the polar sector, by solving…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

We consider the Einstein-Gauss-Bonnet equations in five dimensions including a negative cosmological constant and a Maxwell field. Using an appropriate Ansatz for the metric and for the electromagnetic fields, we construct numerically black…

General Relativity and Quantum Cosmology · Physics 2011-12-01 Y. Brihaye

We investigate the tidal response of Kerr black holes in four-dimensional space-times subjected to external gravitational fields. Using the Ernst formalism and Weyl coordinates, we analyze the non-linear tidal deformation of rotating black…

General Relativity and Quantum Cosmology · Physics 2024-12-12 L. -R. Gounis , A. Kehagias , A. Riotto

The tidal Love numbers parametrize the conservative induced tidal response of self-gravitating objects. It is well established that asymptotically-flat black holes in four-dimensional general relativity have vanishing Love numbers. In…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Oscar Combaluzier-Szteinsznaider , Lam Hui , Luca Santoni , Adam R. Solomon , Sam S. C. Wong

The Einstein-Lovelock theory contains an infinite series of corrections to the Einstein term with an increasing power of the curvature. It is well-known that for large black holes the lowest (Gauss-Bonnet) term is the dominant one, while…

General Relativity and Quantum Cosmology · Physics 2020-07-13 R. A. Konoplya , A. Zhidenko

We make an extensive study of evolution of gravitational perturbations of D-dimensional black holes in Gauss-Bonnet theory. There is an instability at higher multi-poles $\ell$ and large Gauss-Bonnet coupling $\alpha$ for $D= 5, 6$, which…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Konoplya , A. Zhidenko

We present a new explicit class of black holes in general quadratic gravity with a cosmological constant. These spherically symmetric Schwarzschild-Bach-(anti-)de Sitter geometries (Schwa-Bach-(A)dS), derived under the assumption of…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Robert Svarc , Jiri Podolsky , Vojtech Pravda , Alena Pravdova

The tidal Love numbers of a black hole vanish, and this is often taken to imply that the hole's tidally induced multipole moments vanish also. An obstacle to establishing a link between these statements is that the multipole moments of…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Eric Poisson

We derive regular black-hole solutions, including the Hayward metric, from four-dimensional action principles involving vector fields in addition to the metric. These black holes possess additional hair associated with the vector fields,…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Astrid Eichhorn , Pedro G. S. Fernandes

Black hole dynamical instabilities have been mostly studied in specific models. We here study the general properties of the complex-frequency modes responsible for such instabilities, guided by the example of a charged scalar field in an…

General Relativity and Quantum Cosmology · Physics 2016-07-04 Antonin Coutant , Florent Michel , Renaud Parentani

In this paper, we study existence and stability of static black holes in Lovelock theories with a particular focus on pure Lovelock black holes. We derive the equation of stability from action without using S-deformation approach. It turns…

General Relativity and Quantum Cosmology · Physics 2014-08-08 Radouane Gannouji , Naresh Dadhich

We construct hairy static black holes of higher dimensional general coupling Einstein-Skyrme theories with the scalar potential turned on and the cosmological constant is non-positive in which the scalar multiplets satisfy $O(d+1)$ model…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Bobby Eka Gunara , Emir Syahreza Fadhilla , Ardian Nata Atmaja

We investigate the properties of the Schwarzschild black hole geometry involving leading one-loop long-distance quantum effects, which arise within the framework of effective field theories of gravity. Our analysis reveals that geodesic…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Zi-Liang Wang , Emmanuele Battista

Black hole solutions are explored in the Lorentz gauge theory of gravity. The fields of the theory are the gauge potential in the adjoint and a scalar in the fundamental representation of the Lorentz group, a metric tensor then emerging as…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Tomi S. Koivisto , Luxi Zheng

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

The static tidal Love numbers of four-dimensional black holes vanish identically, unlike their nontrivial dynamical response at finite frequency. Recent work has provided three complementary descriptions of this phenomenon: an emergent…

High Energy Physics - Theory · Physics 2026-04-02 Naman Kumar

Large scale magnetic fields pervade the cosmic environment where the astrophysical black holes are often embedded and influenced by the mutual interaction. In this contribution we outline the appropriate mathematical framework to describe…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Vladimir Karas