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The ringdown phase of a gravitational wave signal from a binary black hole merger offers a unique laboratory for testing general relativity in the strong-field regime and probing the properties of the final remnant black hole. In this…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Hai-Tian Wang , Shao-Peng Tang , Peng-Cheng Li , Yi-Zhong Fan

The accurate computation of quasinormal modes from rotating black holes beyond general relativity is crucial for testing fundamental physics with gravitational waves. In this study, we assess the accuracy of the eikonal and post-Kerr…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Ciro De Simone , Sebastian H. Völkel , Kostas D. Kokkotas , Vittorio De Falco , Salvatore Capozziello

After a long wait, gravitational wave astronomy has finally begun. Binary black hole mergers are being detected by LIGO and Virgo, and theorists are starting to receive a wealth of data to be analized. At this point we can at long last…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Cecilia Chirenti

Computer models are used as a way to explore complex physical systems. Stationary Gaussian process emulators, with their accompanying uncertainty quantification, are popular surrogates for computer models. However, many computer models are…

Methodology · Statistics 2024-11-25 Faezeh Yazdi , Derek Bingham , Daniel Williamson

Uncertainty estimation is essential for robust decision-making in the presence of ambiguous or out-of-distribution inputs. Gaussian Processes (GPs) are classical kernel-based models that offer principled uncertainty quantification and…

Machine Learning · Statistics 2026-04-30 Albert Saiapin , Kim Batselier

We develop a computational procedure to estimate the covariance hyperparameters for semiparametric Gaussian process regression models with additive noise. Namely, the presented method can be used to efficiently estimate the variance of the…

Machine Learning · Computer Science 2022-06-22 Siavash Ameli , Shawn C. Shadden

We use artificial intelligence (AI) to learn and infer the physics of higher order gravitational wave modes of quasi-circular, spinning, non precessing binary black hole mergers. We trained AI models using 14 million waveforms, produced…

Instrumentation and Methods for Astrophysics · Physics 2022-10-28 Asad Khan , E. A. Huerta , Prayush Kumar

Gravitational waves emitted by a ringing black hole allow us to perform precision tests of general relativity in the strong field regime. With improvements to our current gravitational wave detectors and upcoming next-generation detectors,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Costantino Pacilio , Swetha Bhagwat , Roberto Cotesta

In this paper we discuss the anatomy of frequency-domain gravitational-wave signals from non-precessing black-hole coalescences with the goal of constructing accurate phenomenological waveform models. We first present new…

General Relativity and Quantum Cosmology · Physics 2016-02-10 Sascha Husa , Sebastian Khan , Mark Hannam , Michael Pürrer , Frank Ohme , Xisco Jiménez Forteza , Alejandro Bohé

The gravitational waves emitted in the ringdown phase of binary black-hole coalescence are a unique probe of strong gravity. Understanding how deviations from general relativity affect the ringdown phase of black holes, however, is…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Adrian Ka-Wai Chung , Nicolas Yunes

Computations of the strong field generation of gravitational waves by black hole processes produce waveforms that are dominated by quasinormal (QN) ringing, a damped oscillation characteristic of the black hole. We describe here the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Hans-Peter Nollert , Richard H. Price

In this work, quasinormal modes (QNMs) of the Schwarzschild black hole are investigated by taking into account the quantum fluctuations. Gravitational and Dirac perturbations were considered for this case. The Regge-Wheeler gauge and the…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Mahamat Saleh , Bouetou Bouetou Thomas , Kofané Timoléon Crépin

Active learning methods for neural networks are usually based on greedy criteria which ultimately give a single new design point for the evaluation. Such an approach requires either some heuristics to sample a batch of design points at one…

Machine Learning · Computer Science 2020-01-28 Evgenii Tsymbalov , Sergei Makarychev , Alexander Shapeev , Maxim Panov

The purpose of this chapter is to provide an overview of the exciting field of black hole quasi-normal modes and its capabilities to test general relativity in the 21st century. After motivating this line of research, we provide a…

General Relativity and Quantum Cosmology · Physics 2023-05-04 Nicola Franchini , Sebastian H. Völkel

We develop a numerical approach for computing the additive, multiplicative and compressive convolution operations from free probability theory. We utilize the regularity properties of free convolution to identify (pairs of) `admissible'…

Probability · Mathematics 2013-07-22 Sheehan Olver , Raj Rao Nadakuditi

Estimating the parameters of gravitational wave signals detected by ground-based detectors requires an understanding of the properties of the detectors' noise. In particular, the most commonly used likelihood function for gravitational wave…

The coalescence of binary black holes (BBHs) provides a unique arena to test general relativity (GR) in the dynamical, strong-field regime. To this end, we present pSEOBNRv5PHM, a parametrized, multipolar, spin-precessing waveform model for…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Lorenzo Pompili , Elisa Maggio , Hector O. Silva , Alessandra Buonanno

We compute quasinormal mode frequencies for static limits of physical black holes - semi-classical black hole solutions to Einstein-Hilbert gravity characterized by the finite formation time of an apparent horizon and its weak regularity.…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Fil Simovic , Daniel R. Terno

Tomographic reconstruction, despite its revolutionary impact on a wide range of applications, suffers from its ill-posed nature in that there is no unique solution because of limited and noisy measurements. Therefore, in the absence of…

Applications · Statistics 2023-04-10 Agnimitra Dasgupta , Carlo Graziani , Zichao Wendy Di

Recently, strong evidence was found for the presence of higher-order modes in the gravitational wave signals GW190412 and GW190814, which originated from compact binary coalescences with significantly asymmetric component masses. This has…

General Relativity and Quantum Cosmology · Physics 2022-05-19 Anna Puecher , Chinmay Kalaghatgi , Soumen Roy , Yoshinta Setyawati , Ish Gupta , B. S. Sathyaprakash , Chris Van Den Broeck
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