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The determination of the physical parameters of gravitational wave events is a fundamental pillar in the analysis of the signals observed by the current ground-based interferometers. Typically, this is done using Bayesian inference…

General Relativity and Quantum Cosmology · Physics 2023-11-07 M. Andrés-Carcasona , M. Martinez , Ll. M. Mir

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

Methodology · Statistics 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

We calculate the quasinormal modes (QNM) frequencies of a test massless scalar field and an electromagnetic field around static black holes in $f(T)$ gravity. Focusing on quadratic $f(T)$ modifications, which is a good approximation for…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Yaqi Zhao , Xin Ren , Amara Ilyas , Emmanuel N. Saridakis , Yi-Fu Cai

It is now possible to theoretically calculate the gravitational-wave signal from the inspiral, merger and ringdown of a black-hole-binary system. The late inspiral, merger and ringdown can be calculated in full general relativity using…

General Relativity and Quantum Cosmology · Physics 2009-06-10 Mark Hannam

We systematically investigate the quasinormal modes of thick branes in $f(R)$ gravity by numerically solving the Schr\"odinger-like perturbation equation of gravitational perturbations. To ensure the reliability of the results, we employ…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Yu-Peng E , Chun-Chun Zhu , Yu-Xiao Liu

Black hole (BH) oscillations known as quasi-normal modes (QNMs) are one of the most important gravitational wave (GW) sources. We propose that higher perturbative order of QNMs, generated by nonlinear gravitational interaction near the BHs,…

Astrophysics · Physics 2008-12-18 Kunihito Ioka , Hiroyuki Nakano

Gravitational waveforms from numerical simulations are a critical tool to test and analytically calibrate the waveform models used to study the properties of merging compact objects. In this paper, we present a series of high-accuracy…

The quasinormal modes (QNM's) of gravitational systems modeled by the Klein-Gordon equation with effective potentials are studied in analogy to the QNM's of optical cavities. Conditions are given for the QNM's to form a complete set, i.e.,…

General Relativity and Quantum Cosmology · Physics 2016-08-31 E. S. C. Ching , P. T. Leung , W. M. Suen , K. Young

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could be effectively used within the data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Baumgarte , Patrick Brady , Jolien D E Creighton , Luis Lehner , Frans Pretorius , Ricky DeVoe

Uncertainty quantification is essential when dealing with ill-conditioned inverse problems due to the inherent nonuniqueness of the solution. Bayesian approaches allow us to determine how likely an estimation of the unknown parameters is…

Machine Learning · Statistics 2020-01-16 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

It has long been known that null unstable geodesics are related to the characteristic modes of black holes-- the so called quasinormal resonances. The basic idea is to interpret the free oscillations of a black hole in the eikonal limit in…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Shahar Hod

The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Aaron Zimmerman , Huan Yang , Zachary Mark , Yanbei Chen , Luis Lehner

Graph Neural Networks (GNN) provide a powerful framework that elegantly integrates Graph theory with Machine learning for modeling and analysis of networked data. We consider the problem of quantifying the uncertainty in predictions of GNN…

Machine Learning · Computer Science 2022-05-23 Sai Munikoti , Deepesh Agarwal , Laya Das , Balasubramaniam Natarajan

Quasinormal modes of rapidly rotating black holes are crucial in understanding the ringdown phase after a merger. While for Kerr black holes these modes have been known for a long time, their calculation has remained a challenge in…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Burkhard Kleihaus , Jutta Kunz

The detection of quadratic quasi-normal modes would provide a direct probe into black hole nonlinear perturbations. We report the first observational evidence of a set of quadratic quasi-normal modes in the gravitational-wave ringdown of a…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Yi-Fan Wang , Sizheng Ma , Neev Khera , Huan Yang

We discuss new recurrence-based methods for calculating the complex frequencies of the quasinormal modes of black holes. These methods are based on the Frobenius series solutions of the differential equation describing the linearized radial…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Kristian Benda , Jerzy Matyjasek

Binary black hole (BBH) mergers detected via gravitational waves are addressing key open questions in astrophysics, cosmology, and fundamental physics. Our scientific conclusions rely on extracting accurate source parameters, for which we…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Parthapratim Mahapatra , Jonathan E. Thompson , Edward Fauchon-Jones , Mark Hannam

Black-hole spectroscopy is a powerful tool to probe the Kerr nature of astrophysical compact objects and their environment. The observation of multiple ringdown modes in gravitational waveforms could soon lead to high-precision…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Kyriakos Destounis , Francisco Duque

In this paper, we develop a Neural Likelihood Estimator and apply it to analyse real gravitational-wave (GW) data for the first time. We assess the usability of neural likelihood for GW parameter estimation and report the parameter space…

High Energy Astrophysical Phenomena · Physics 2025-09-23 Luca Negri , Anuradha Samajdar

We present the first precise calculations of the gravitational quasinormal-mode (QNM) frequencies for spinning black holes with dimensionless angular momenta $J/M^2 := a \lesssim 0.75$ in dynamical Chern-Simons gravity. Using the…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Adrian Ka-Wai Chung , Kelvin Ka-Ho Lam , Nicolas Yunes