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We study linear perturbations around a static and spherically symmetric black hole solution in spatially covariant gravity with just two tensorial degrees of freedom. In this theory, gravity modification is characterized by a single…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Jin Saito , Tsutomu Kobayashi

Magnetic fields surrounding spinning black holes can confine radiation and trigger superradiant instabilities. To investigate this effect, we perform the first fully-consistent linear analysis of the Ernst spacetime, an exact solution of…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Richard Brito , Vitor Cardoso , Paolo Pani

We study scalar and electromagnetic perturbations of a family of nonsingular nonrotating black hole spacetimes that are solutions in a large class of conformally invariant theories of gravity. The effective potential for scalar…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Bobir Toshmatov , Cosimo Bambi , Bobomurat Ahmedov , Zdeněk Stuchlík , Jan Schee

We analytically derive a class of non-singular, static and spherically symmetric topological black hole metrics inF(R)-gravity. These have not a de Sitter core at their centre, as most model in standard General Relativity. We study the…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Manuel Bertipagani , Massimiliano Rinaldi , Lorenzo Sebastiani , Sergio Zerbini

Periodic orbits exhibiting zoom-whirl behavior have become attractive topics for studying particle dynamics and gravitational wave emission in extreme-mass-ratio inspirals (EMRIs). This study systematically investigates periodic orbits…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Guo-He Li , Chen-Kai Qiao , Jun Tao

The superradiant stability of a Kerr-Newman black hole and charged massive scalar perturbation is investigated. We treat the black hole as a background geometry and study the equation of motion of the scalar perturbation. From the radial…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Jun-Huai Xu , Zi-Han Zheng , Ming-Jian Luo , Jia-Hui Huang

We study extreme mass ratio inspirals occurring in modified gravity, for which the system is modeled by a small compact object with scalar charge spiraling into a supermassive Kerr black hole. Besides the tensorial gravitational waves…

General Relativity and Quantum Cosmology · Physics 2022-07-28 Hong Guo , Yunqi Liu , Chao Zhang , Yungui Gong , Wei-Liang Qian , Rui-Hong Yue

Scalar perturbations around the Kerr black hole in scalar-Einstein-Gauss-Bonnet (sEGB) theory are studied in the time domain. To overcome the "outer boundary problem" that usually encountered in traditional numerical calculations, we apply…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Shao-Jun Zhang , Bin Wang , Anzhong Wang , Joel F. Saavedra

We study scalar fields in a black hole background and show that, when the scalar is suitably coupled to curvature, rapid rotation can induce a tachyonic instability. This instability, which is the hallmark of spontaneous scalarization in…

General Relativity and Quantum Cosmology · Physics 2020-12-07 Alexandru Dima , Enrico Barausse , Nicola Franchini , Thomas P. Sotiriou

The scattering of charged massive scalar waves by Kerr-Newman black holes, with incidence along the equatorial plane, is investigated in this work. The differential scattering cross section is computed using the partial wave method, with…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Qian Li , Qianchuan Wang , Junji Jia

On the basis of the Kerr metric as a model for a spinning black hole accreting test particles from rest at infinity, I show that the center-of-mass energy for a pair of colliding particles is generically divergent at the inner horizon. This…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Kayll Lake

We consider the scattering of gravitational waves off a Schwarzschild black hole in $f(R)$ gravity. We show that the reflection and transmission coefficients for tensor waves are the same as in General Relativity. While the scalar waves,…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Dan B. Sibandze , Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki , Peter K. S. Dunsby

We consider solutions of the scalar wave equation $\Box_g\phi=0$, without symmetry, on fixed subextremal Reissner-Nordstr\"om backgrounds $({\mathcal M}, g)$ with nonvanishing charge. Previously, it has been shown that for $\phi$ arising…

General Relativity and Quantum Cosmology · Physics 2014-12-09 Anne Franzen

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson

The light-like limit of the Kerr gravitational field relative to a distant observer moving rectilinearly in an arbitrary direction is an impulsive plane gravitational wave with a singular point on its wave front. By colliding particles with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Barrabes , V. P. Frolov , P. A. Hogan

I have derived the Kretschmann scalar for a general black hole of mass m, angular momentum per unit mass a, and electric charge Q. The Kretschmann scalar gives the amount of curvature of spacetime, as a function of position near (and…

Astrophysics · Physics 2009-10-31 Richard C. Henry

Aretakis has proved that a massless scalar field has an instability at the horizon of an extreme Reissner-Nordstr\"om black hole. We show that a similar instability occurs also for a massive scalar field and for coupled linearized…

General Relativity and Quantum Cosmology · Physics 2015-06-12 James Lucietti , Keiju Murata , Harvey S. Reall , Norihiro Tanahashi

We study gravitational collapse of a charged black hole in f(R) gravity using double-null formalism. We require cosmological stability to f(R) models; we used the Starobinsky model and the R + (1/2)cR^2 model. Charged black holes in f(R)…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Dong-il Hwang , Bum-Hoon Lee , Dong-han Yeom

Gravitational-wave astronomy can give us access to the structure of black holes, potentially probing microscopic or even Planckian corrections at the horizon scale, as those predicted by some quantum-gravity models of exotic compact…

General Relativity and Quantum Cosmology · Physics 2017-12-07 Elisa Maggio , Paolo Pani , Valeria Ferrari

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