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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

We consider the spectrum of a Schroedinger operator in a multi-dimensional cylinder perturbed by a shrinking potential. We study the phenomenon of a new eigenvalue emerging from the threshold of the essential spectrum and give the…

Mathematical Physics · Physics 2015-05-14 A. Bikmetov , R. Gadyl'shin

We compute the quasinormal frequencies of $d$-dimensional spherically symmetric black holes with leading string $\alpha'$ corrections for tensorial gravitational perturbations in the highly damped regime. We solve perturbatively the master…

High Energy Physics - Theory · Physics 2021-08-20 Filipe Moura , João Rodrigues

We show that scalar, electromagnetic, and gravitational perturbations of extremal Kerr black holes are asymptotically self-similar under the near-horizon, late-time scaling symmetry of the background metric. This accounts for the Aretakis…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Samuel E. Gralla , Peter Zimmerman

We present numerical results from three-dimensional evolutions of scalar perturbations of Kerr black holes. Our simulations make use of a high-order accurate multi-block code which naturally allows for fixed adaptivity and smooth inner…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ernst Nils Dorband , Emanuele Berti , Peter Diener , Erik Schnetter , Manuel Tiglio

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines

Analytical series expansions for the bending of light in the equatorial plane of a Kerr black hole are presented in both the strong and weak deflection regimes. It is critical that these are known in analytical form so further analysis can…

General Relativity and Quantum Cosmology · Physics 2009-08-04 Savitri V. Iyer , Edward C. Hansen

The equilibrium configurations between a Schwarzschild black hole and a hyperextreme Kerr object are shown to be described by a three-parameter subfamily of the extended double-Kerr solution. For this subfamily, its Ernst potential and…

General Relativity and Quantum Cosmology · Physics 2015-11-06 V. S. Manko , E. Ruiz

In this paper, we present a detailed analysis of first-order perturbations of the Kerr metric in the slow-rotation limit. We perform the calculation by perturbing the Schwarzschild metric plus up to second-order corrections in the spin in…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Nicola Franchini

We investigate the accretion induced spin up of the black hole via numerical simulations. Our method is based on general-relativistic magneto-hydrodynamics of the slowly-rotating flows in the Kerr metric, where possibly transonic shock…

High Energy Astrophysical Phenomena · Physics 2021-05-26 Dominika Ł. Król , Agnieszka Janiuk

We develop a systematic effective field theory calculation of the quasinormal modes of Kerr black holes valid for arbitrary spin, providing model-independent corrections to their ringdown spectrum directly relevant for gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William L. Boyce , Jorge E. Santos

We consider a class of linear eigenvalue problems depending on a small parameter epsilon in which the series expansion for the eigenvalue in powers of epsilon is divergent. We develop a new technique to determine the precise nature of this…

Classical Analysis and ODEs · Mathematics 2026-02-04 Stephen Jonathan Chapman

A class of non-linear eigenvalue problems defined in the form of operator polynomials is investigated. The problems are related to wave equations which appear in a relativistic quantum field theory. Spectral asymptotics for this class are…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri V. Fursaev

We study the dynamics and relativistic precessions of massive particles on spherical orbits around Kerr-MOG black holes in scalar-tensor-vector gravity (STVG). By employing the Hamilton-Jacobi formalism, we derive conserved quantities and…

General Relativity and Quantum Cosmology · Physics 2025-07-18 Hui-Min Wang

In the present paper we study the onset of the spin-induced scalarization of a Kerr black hole in scalar-Gauss-Bonnet gravity with a massive scalar field. Our approach is based on a (2+1) time evolution of the relevant linearized scalar…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Daniela D. Doneva , Lucas G. Collodel , Christian J. Krüger , Stoytcho S. Yazadjiev

We compute analytically greybody factors for asymptotically flat spherically symmetric black holes with stringy higher derivative corrections in d dimensions in the high frequency limit. Our calculations include both the eikonal limit -…

High Energy Physics - Theory · Physics 2025-10-29 Filipe Moura , João Rodrigues

Recent studies have shown that rotating black holes can undergo spontaneous scalarization, leading to deviations from general relativity in the strong-field regime. We present the first nonperturbative calculation of the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Wei Xiong , Peng-Cheng Li

In an effective-field-theory framework for gravity, black-hole quasinormal mode spectra acquire corrections in quadratic-curvature, scalar-tensor extensions of general relativity. Previous calculations of such corrections were limited to…

Massless fields propagating in a generic Kerr black hole background enjoy a hidden SL(2,R)xSL(2,R) symmetry. We determine how the exact mode functions decompose into representations of this symmetry group. This extends earlier results on…

High Energy Physics - Theory · Physics 2014-03-12 David A. Lowe , Ilies Messamah , Antun Skanata

We describe the spectrum of a non-self-adjoint elliptic system on a finite interval. Under certain conditions we find that the eigenvalues form a discrete set and converge asymptotically at infinity to one of several straight lines. The…

Spectral Theory · Mathematics 2007-05-23 E. B. Davies