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This tutorial leads the reader through the details of calculating the properties of gravitational waves from orbiting binaries, such as two orbiting black holes. Using analogies with electromagnetic radiation, the tutorial presents a…

Physics Education · Physics 2019-08-15 Robert C. Hilborn

On September 14, 2015, the newly upgraded Laser Interferometer Gravitational-wave Observatory (LIGO) recorded a loud gravitational-wave (GW) signal, emitted a billion light-years away by a coalescing binary of two stellar-mass black holes.…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Michael Holst , Olivier Sarbach , Manuel Tiglio , Michele Vallisneri

Orbital eccentricity is a crucial physical effect to unveil the origin of compact-object binaries detected by ground- and spaced-based gravitational-wave (GW) observatories. Here, we perform for the first time a Bayesian inference study of…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Antoni Ramos-Buades , Alessandra Buonanno , Jonathan Gair

We characterize the expected statistical errors with which the parameters of black-hole binaries can be measured from gravitational-wave (GW) observations of their inspiral, merger and ringdown by a network of second-generation ground-based…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Archisman Ghosh , Walter Del Pozzo , Parameswaran Ajith

A new detection method for ultra-low frequency gravitational waves (GWs) with a frequency much lower than the observational range of pulsar timing arrays (PTAs) was suggested in Yonemaru et al. (2016). In the PTA analysis, ultra-low…

High Energy Astrophysical Phenomena · Physics 2018-05-02 Naoyuki Yonemaru , Hiroki Kumamoto , Keitaro Takahashi , Sachiko Kuroyanagi

The geometric description of gravitational memory for strong gravitational waves is developed, with particular focus on shockwaves and their spinning analogues, gyratons. Memory, which may be of position or velocity-encoded type,…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Graham M Shore

Detections of gravitational waves emitted from binary black hole coalescences allow us to probe the strong-field dynamics of general relativity (GR). One can compare the observed gravitational-wave signals with theoretical waveform models…

General Relativity and Quantum Cosmology · Physics 2023-08-30 Purnima Narayan , Nathan K. Johnson-McDaniel , Anuradha Gupta

In this article, we compare in detail the linear and nonlinear approach to the Gravitational Waves Displacement and Velocity Memory (GWDM and GWVM) effects. We consider astrophysical situations that give rise to gravitational waves with…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Lydia Bieri , Alexander Polnarev

We analyze a rotating regular black hole spacetime with an asymptotically Minkowski core, focusing on extreme mass-ratio inspiral (EMRIs) where a stellar-mass object inspirals a supermassive black hole under consideration. Such spacetimes…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Shailesh Kumar , Tieguang Zi

Gravitational memory is an important prediction of classical General Relativity, which is intimately related to asymptotic symmetries at null infinity and the so-called soft graviton theorem first shown by Weinberg. For a given transient…

General Relativity and Quantum Cosmology · Physics 2018-08-22 Huan Yang , Denis Martynov

It is well known that energy fluxes will produce gravitational wave memory. The gravitational wave memory produced by background including cosmic microwave background (CMB), cosmic neutrino background (C$\nu$B), and gravitational wave…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Zhoujian Cao , Xiaokai He , Zhi-Chao Zhao

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

General Relativity and Quantum Cosmology · Physics 2023-06-02 David Trestini

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Laura Bernard , Luc Blanchet , David Trestini

Gravitational lensing in the wave-optics regime imprints characteristic frequency-dependent amplitude and phase modulations on gravitational-wave (GW) signals, yet to be detected by ground-based interferometers. Similar modulations may also…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Anuj Mishra , Apratim Ganguly

It is well known that two types of gravitational wave memory exist in general relativity (GR): the linear memory and the non-linear, or Christodoulou memory. These effects, especially the latter, depend on the specific form of Einstein…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Song Ming Du , Atsushi Nishizawa

Systems of two black holes with unbound orbits can produce a diverse array of gravitational wave signals with rich morphology. This parameter space encompasses both hyperbolic orbit scattering events and dynamical captures, including…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Chad Henshaw , Jacob Lange , Peter Lott , Richard O'Shaughnessy , Laura Cadonati

The mass transfer process is prevalent during the inspiral phase of compact binary systems. Our study focuses on systems comprising low-mass white dwarfs, particularly in neutron star-white dwarf binaries and double white dwarf binaries,…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Zi-Han Zhang , Tan Liu , Shenghua Yu , Zong-Kuan Guo

In this paper, we investigate periodic bound orbits and gravitational wave (GW) emission in the Schwarzschild-Bertotti-Robinson (Schwarzschild-BR) spacetime-an exact electrovacuum solution describing a static black hole (BH) immersed in a…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Tursunali Xamidov , Sanjar Shaymatov , Qiang Wu , Tao Zhu

Gravitational waves from precessing black-hole binaries exhibit features that are absent in nonprecessing systems. The most prominent of these is a parity-violating asymmetry that beams energy and linear momentum preferentially along or…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Michael Boyle , Lawrence E. Kidder , Serguei Ossokine , Harald P. Pfeiffer

Gravitational Waves (GW) have now been detected from stellar-mass black hole binaries, and the first observations of GW from Massive Black Hole (MBH) Binaries are expected within the next decade. Pulsar Timing Arrays (PTA), which can…

High Energy Astrophysical Phenomena · Physics 2016-10-06 Luke Zoltan Kelley , Laura Blecha , Lars Hernquist
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