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We investigate the propagation of gravitational waves on a black hole background within the low energy effective field theory of gravity, where effects from heavy fields are captured by higher dimensional curvature operators. Depending on…

High Energy Physics - Theory · Physics 2020-08-05 Claudia de Rham , Jérémie Francfort , Jun Zhang

We describe a special class of ballistic geodesics in Schwarzschild space-time, extending to the horizon in the infinite past and future of observer time, which are characterized by the property that they are in 1-1 correspondence, and…

General Relativity and Quantum Cosmology · Physics 2015-03-06 G. d'Ambrosi , J. W. van Holten

In this work, analyzing the propagation of electromagnetic waves in the field of gravitational waves, we show the presence and significance of the so called surfing effect for pulsar timing measurements. It is shown that, due to the…

Astrophysics · Physics 2008-11-26 D. Baskaran , A. G. Polnarev , M. S. Pshirkov , K. A. Postnov

A fundamental question in the study of water waves is the existence and stability of solitary waves. Solitary waves have been proved to exist and have been studied in many interesting situations, and often arise from the balance of…

Analysis of PDEs · Mathematics 2019-09-10 Mihaela Ifrim , Daniel Tataru

We investigate static, spherically symmetric solutions in gravitational theories which have limited curvature invariants, aiming to remove the singularity in the Schwarzschild space-time. We find that if we only limit the Gauss-Bonnet term…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Daisuke Yoshida , Robert H. Brandenberger

We develop a unified framework for testing gravity beyond General Relativity (GR) with continuous gravitational waves (CWs) from individual supermassive black hole binaries (SMBHBs). These long-lived, nearly monochromatic nanohertz signals…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Qinyuan Zheng , Bjorn Larsen , Ellis Eisenberg , Chiara M. F. Mingarelli

We obtain two results of propagation for solutions to the gravity-capillary water wave system. First we show how oscillations and the spatial decay propagate at infinity; then we show a microlocal smoothing effect under the non-trapping…

Analysis of PDEs · Mathematics 2024-02-14 Hui Zhu

We report on a numerical study of gravitational waves undergoing gravitational collapse due to their self-interaction. We consider several families of asymptotically flat initial data which, similar to the well known Choptuik's discovery,…

General Relativity and Quantum Cosmology · Physics 2022-07-26 Tomáš Ledvinka , Anton Khirnov

Gravitational waves are expected to be radiated by supermassive black hole binaries formed during galaxy mergers. A stochastic superposition of gravitational waves from all such binary systems will modulate the arrival times of pulses from…

Gravitational waves in general relativity are non-dispersive, yet a host of modified theories predict dispersion effects during propagation. In this work, we consider the impact of dispersion effects on gravitational-wave bursts from highly…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Nicholas Loutrel , Ava Bailey , Davide Gerosa

A naive introduction of a dependency of the mass of a black hole on the Schwarzschild time coordinate results in singular behavior of curvature invariants at the horizon, violating expectations from complementarity. If instead a temporal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James Lindesay

Gravitational waves (GWs) from merging black holes allow for unprecedented probes of strong-field gravity. Testing gravity in this regime requires accurate predictions of gravitational waveform templates in viable extensions of General…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

Fully localised solitary waves are travelling-wave solutions of the three-dimensional gravity-capillary water wave problem which decay to zero in every horizontal spatial direction. Their existence for water of finite depth has recently…

Analysis of PDEs · Mathematics 2022-05-11 Boris Buffoni , Mark D. Groves , Erik Wahlén

We firstly generalize the massive scalar propagator for planar gravitational waves propagating on Minkowski space obtained recently in Ref. [1]. We then use this propagator to study the response of a freely falling Unruh-DeWitt detector to…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Tomislav Prokopec

Gravitational waves (GW), as light, are gravitationally lensed by intervening matter, deflecting their trajectories, delaying their arrival and occasionally producing multiple images. In theories beyond general relativity (GR), new…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Jose María Ezquiaga , Miguel Zumalacárregui

The gravitational waves emitted by massive black hole binaries can be affected by a variety of environmental effects, which, if detected, could inform astrophysics and cosmology. We here study how gravitational waves emitted by black holes…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Tomás Ferreira Chase , Diana López Nacir , Nicolás Yunes

Although the general theory of relativity (GR) predicts that gravitational waves (GWs) have exactly the same propagation velocity as electromagnetic (EM) waves, many theories of gravity beyond GR expect otherwise. Accurate measurement of…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Tian-Yong Cao , Ankit Kumar , Shu-Xu Yi

It has long been known that gravitational waves from compact binary coalescing sources are responsible for a first-order displacement memory effect experienced by a pair of freely falling test masses. This constant displacement is sourced…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Atul K. Divakarla , Bernard F. Whiting

Gravitational waves from compact objects provide information about their structure, probing deep into strong-gravity regions. Here we illustrate how the presence or absence of an event horizon can produce qualitative differences in the…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Paolo Pani , Emanuele Berti , Vitor Cardoso , Yanbei Chen , Richard Norte

The memory effect is known to introduce a permanent displacement in the gravitational wave (GW) detectors after the passage of a GW signal. While the linear memory adheres to the source properties, the non-linear memory is a secondary…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Samik Dutta , Ankur Chhabra , Aritra Banerjee , Sajal Mukherjee , Subhendra Mohanty