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The modeling of gravitational wave ringdown has traditionally relied on linear perturbation theory, which mainly describes the late-time behavior of a perturbed black hole after a binary merger. However, the need for more accurate ringdown…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Macarena Lagos

Two different approaches to gravitational perturbation theory appear to give two different answers for the properties of gravitational wave memory. We show that this contradiction is only apparent and the two approaches actually agree.

General Relativity and Quantum Cosmology · Physics 2015-07-15 David Garfinkle , Istvan Racz

As a low energy effective field theory, classical General Relativity receives an infrared relevant modification from the conformal trace anomaly of the energy-momentum tensor of massless, or nearly massless, quantum fields. The local form…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Emil Mottola

We examine gravitational wave memory in the case where sources and detector are in an expanding cosmology. For simplicity, we treat the case where the cosmology is de Sitter spacetime, and discuss the possibility of generalizing our results…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Lydia Bieri , David Garfinkle , Shing-Tung Yau

We extend recent theoretical results on the propagation of linear gravitational waves (GWs), including their associated memories, in spatially flat Friedmann--Lema\^{i}tre--Robertson--Walker (FLRW) universes, for all spacetime dimensions…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Yi-Zen Chu

Second-order tensor modes induced by nonlinear gravity are a key component of the cosmological background of gravitational waves. A detection of this background would allow us to probe the primordial power spectrum at otherwise inaccessible…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Atsuhisa Ota , Hayley J. Macpherson , William R. Coulton

Gravitational waves are predicted by the general theory of relativity. It has been shown that gravitational waves have a nonlinear memory, displacing test masses permanently. This is called the Christodoulou memory. We proved that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Lydia Bieri , PoNing Chen , Shing-Tung Yau

In this Letter, we consider original Nash theory of gravity. In terms of the scalar fields representation, Nash gravity is equivalent to the action of bi-scalar tensor gravity with four derivative terms of metric tensor. We then quantify…

General Relativity and Quantum Cosmology · Physics 2020-09-01 Phongpichit Channuie , Davood Momeni , Mudhahir Al Ajmi

Gravity theories beyond general relativity (GR) can change the properties of gravitational waves: their polarizations, dispersion, speed, and, importantly, energy content are all heavily theory- dependent. All these corrections can…

General Relativity and Quantum Cosmology · Physics 2018-11-20 Maximiliano Isi , Leo C. Stein

Gravitational wave (GW) astronomy has revolutionized our capacity to explore nature. The next generation of observatories, among which the space-borne detector Laser Interferometer Space Antenna LISA, is expected to yield orders of…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Henri Inchauspé , Silvia Gasparotto , Diego Blas , Lavinia Heisenberg , Jann Zosso , Shubhanshu Tiwari

Recently there are more and more interest on the gravitational wave of moving sources. This introduces a Lorentz transformation problem of gravitational wave. Although Bondi-Metzner-Sachs (BMS) theory has in principle already included the…

General Relativity and Quantum Cosmology · Physics 2023-02-16 Xiaokai He , Xiaolin Liu , Zhoujian Cao

Gravitational wave (GW) memory, a permanent distortion of the space-time metric, is anticipated during the acceleration of relativistic jets in gamma-ray bursts (GRBs). While the precise mechanism behind GRBs is not yet fully understood,…

High Energy Astrophysical Phenomena · Physics 2025-09-23 Yusuke Sakai , Ryo Yamazaki , Yoshihiro Okutani , Satsuki Ueno , Norichika Sago , Marco Meyer-Conde , Hirotaka Takahashi

We present an approach to detecting (linear) gravitational wave memory in a Galactic core-collapse supernova using current interferometers. Gravitational wave memory is an important prediction of general relativity that has yet to be…

We describe an experiment to measure the electromagnetic analog of gravitational wave memory, the so-called electromagnetic memory. Whereas gravitational wave memory is a residual displacement of test masses, electromagnetic memory is a…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Lydia Bieri , David Garfinkle

We perform searches for gravitational wave memory in the data of two major Pulsar Timing Array (PTA) experiments located in Europe and Australia. Supermassive black hole binaries (SMBHBs) are the primary sources of gravitational waves in…

We apply common gravitational wave inference procedures on binary black hole merger waveforms beyond general relativity. We consider dynamical Chern-Simons gravity, a modified theory of gravity with origins in string theory and loop quantum…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Maria Okounkova , Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

A simple estimate is given of gravitational wave memory for the inspiral and merger of a binary black hole system. Here the memory is proportional to the total energy radiated and has a simple angular dependence. This estimate might be…

General Relativity and Quantum Cosmology · Physics 2016-08-17 David Garfinkle

Gravitational waves (GWs) are direct probes of cosmological gravity, sensitive to space-time inhomogeneities along their propagation. The presence of massive objects breaks homogeneity and isotropy, allowing for new interactions between…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Nicola Menadeo , Serena Giardino , Miguel Zumalacárregui

These notes provide a student-friendly introduction to the theory of gravitational waves in full, non-linear general relativity (GR). We aim for a balance between physical intuition and mathematical rigor and cover topics such as the…

General Relativity and Quantum Cosmology · Physics 2022-01-28 Fabio D'Ambrosio , Shaun D. B. Fell , Lavinia Heisenberg , David Maibach , Stefan Zentarra , Jann Zosso

We derive the tensor gravitational waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to second post-Newtonian order…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Ryan N. Lang