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Merging supermassive black hole binaries produce low-frequency gravitational waves, which pulsar timing experiments are searching for. Much of the current theory is developed within the plane-wave formalism, and here we develop the more…

High Energy Astrophysical Phenomena · Physics 2021-06-29 Casey McGrath , Jolien Creighton

Parameter estimation for gravitational-wave signals is computationally demanding due to the high dimensionality of the parameter space and the cost of repeated waveform generation in traditional Bayesian inference. These analyses require on…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Sama Al-Shammari , Alexandre Göttel , Masaki Iwaya , Vivien Raymond

Characterizing eccentricity in gravitational waveforms in a consistent manner is crucial to facilitate parameter estimation, astrophysical population studies, as well as searches for these rare systems. We present a framework to…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Tousif Islam , Tejaswi Venumadhav

Newtonian and post-Newtonian (PN) calculations suggest that each spherical harmonic mode of the gravitational waveforms (radiation) emitted by eccentric binaries can be further decomposed into several eccentricity-induced modes (indexed by…

We present a new approach to solve the 2+1 Teukolsky equation for gravitational perturbations of a Kerr black hole. Our approach relies on a new horizon penetrating, hyperboloidal foliation of Kerr spacetime and spatial compactification. In…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

We investigate gravitational waveforms from compact binary systems in Einstein-scalar-Maxwell (ESM) theories, where a scalar field $\phi$ couples to a $U(1)$ gauge field $A_\mu$ through a field-dependent function $\mu(\phi)$. In this…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Antonio De Felice , Shinji Tsujikawa

The use of physical phenomena in the strong-field regime has become a primarily methodology for probing quantum-corrected gravity. This paper investigates periodic orbits, gravitational waves, and accretion disk radiation for a…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Shilong Huang , Jiawei Chen , Jinsong Yang

By interpreting the difference between the original Regge-Wheeler potential and its piecewise step approximation as perturbative effects induced by the external environment of the black hole, we investigate the stability of Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Liang-Bi Wu , Libo Xie , Yu-Sen Zhou , Zong-Kuan Guo , Rong-Gen Cai

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

Gravitational waves (GWs) from compact binary coalescences (CBCs) offer insights into the universe expansion. The spectral siren method, used without electromagnetic counterparts (EMC), infers cosmic expansion (Hubble constant) by relating…

General Relativity and Quantum Cosmology · Physics 2024-05-28 Grégoire Pierra

The recent LIGO detection of gravitational waves from black-hole binaries offers the exciting possibility of testing gravitational theories in the previously inaccessible strong-field, highly relativistic regime. While the LIGO detections…

General Relativity and Quantum Cosmology · Physics 2017-03-17 Enrico Barausse

Currently, the discussions and investigations for the vacuum energy is drawing great both theoretical and experimental attention. The vacuum states of variety of fields, subject to special boundary conditions, may contribute to non-trivial…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Jing Wang

The early inspiral from stellar-mass binary black holes (sBBHs) can emit milli-Hertz gravitational wave signals, making them detectable sources for space-borne gravitational wave missions like TianQin. However, the traditional matched…

Solar and Stellar Astrophysics · Physics 2025-01-08 Xue-Ting Zhang , Natalia Korsakova , Man Leong Chan , Chris Messenger , Yi-Ming Hu

The ability to directly detect gravitational waves has enabled us to empirically probe the nature of ultra-compact relativistic objects. Several alternatives to the black holes of classical general relativity have been proposed which do not…

A particle of mass $\mu$ moves on a circular orbit of a nonrotating black hole of mass $M$. Under the restrictions $\mu/M \ll 1$ and $v \ll 1$, where $v$ is the orbital velocity, we consider the gravitational waves emitted by such a binary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eric Poisson , Misao Sasaki

Characterizing the properties of black holes is one of the most important science objectives for gravitational-wave observations. Astrophysical evidence suggests that black holes that are nearly extremal (i.e. spins near the theoretical…

This paper gives a detailed pedagogic presentation of the central concepts underlying a new algorithm for the numerical solution of Einstein's equations for gravitation. This approach incorporates the best features of the two leading…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Bishop , R. Isaacson , R. Gomez , L. Lehner , B. Szilagyi , J. Winicour

Gravitational waves are one of the most important diagnostic tools in the analysis of strong-gravity dynamics and have been turned into an observational channel with LIGO's detection of GW150914. Aside from their importance in astrophysics,…

General Relativity and Quantum Cosmology · Physics 2017-01-18 William G. Cook , Ulrich Sperhake

Gravitational Waves (GWs) provide a powerful means for cosmological distance estimation, circumventing the systematic uncertainties associated with traditional electromagnetic (EM) indicators. This work presents a model for estimating…

General Relativity and Quantum Cosmology · Physics 2025-08-14 Trisha V , Rakesh V , Arun Kenath

We present the derivation and the solutions to the coupled electromagnetic and gravitational perturbations with sources in a charged black hole background. We work in the so called ghost gauge and consider as source of the perturbations the…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Claudia Moreno , Juan Carlos Degollado , Dario Nunez