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A Matrix Method for Quasinormal Modes: Kerr and Kerr-Sen Black Holes

TLDR
In this paper, a matrix method is employed to study the scalar quasinormal modes of Kerr as well as Kerr-Sen black holes, where discretization is applied to transfer the perturbation equation into a matrix form eigenvalue problem, where the resulting radial and angular equations are derived by the method of separation of variables.
Abstract
In this letter, a matrix method is employed to study the scalar quasinormal modes of Kerr as well as Kerr-Sen black holes. Discretization is applied to transfer the scalar perturbation equation into a matrix form eigenvalue problem, where the resulting radial and angular equations are derived by the method of separation of variables. The eigenvalues, quasinormal frequencies $\omega$ and angular quantum numbers $\lambda$, are then obtained by numerically solving the resultant homogeneous matrix equation. This work shows that the present approach is an accurate as well as efficient method for investigating quasinormal modes.

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A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method

TL;DR: In this article, an approach to obtaining black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM) was discussed, initially developed to solve second order ordinary differential equations.
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The matrix method for black hole quasinormal modes

TL;DR: In this article, a comprehensive survey of possible applications of the matrix method for black hole quasinormal modes is provided, and the proposed algorithm can be applied to various background metrics, and in particular, it accommodates both analytic and numerical forms of the tortoise coordinates, as well as black hole spacetimes.
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Stability under scalar perturbations and quasinormal modes of 4D Einstein-Born-Infeld dilaton spacetime: Exact spectrum

TL;DR: In this article, the stability under scalar perturbations of the Reissner-Nordstrom black hole was studied and the quasinormal modes of the Einstein-Born-Infeld dilaton spacetime were computed in 1+3 dimensions.
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Charged scalar fields around Einstein-power-Maxwell black holes

TL;DR: In this article, the propagation of massless charged scalar fields and corresponding quasinormal modes of the Einstein-power-Maxwell spacetime in (1+3) dimensions were studied.
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Observation of Gravitational Waves from a Binary Black Hole Merger

B. P. Abbott, +1011 more
TL;DR: This is the first direct detection of gravitational waves and the first observation of a binary black hole merger, and these observations demonstrate the existence of binary stellar-mass black hole systems.
Journal ArticleDOI

Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations

TL;DR: In this paper, the authors derived separable equations describing perturbations of a Kerr black hole, which can be used to study black-hole processes involving scalar, electromagnetic, neutrino or gravitational fields.
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Quasinormal modes of black holes and black branes

TL;DR: Quasinormal modes are eigenmodes of dissipative systems as discussed by the authors, and they serve as an important tool for determining the near-equilibrium properties of strongly coupled quantum field theories, such as viscosity, conductivity and diffusion constants.
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Quasi-normal modes of stars and Black holes

TL;DR: The successes, as well as the limits, of perturbation theory are presented, and its role in the emerging era of numerical relativity and supercomputers is discussed.
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