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Ringdown gravitational waves of compact object binaries observed by ground-based gravitational-wave detectors encapsulate rich information to understand remnant objects after the merger and to test general relativity in the strong field. In…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Norichika Sago , Soichiro Isoyama , Hiroyuki Nakano

Coalescing binary black-hole systems are among the most promising sources of gravitational waves for ground-based interferometers. While the \emph{inspiral} and \emph{ring-down} stages of the binary black-hole coalescence are well-modelled…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. Ajith

The major source of ground-based gravitational wave detectors, the inspiral and merger of comparable mass binary black holes (BBH), consists of a slow quasicircular inspiral, a merger to form a single remnant hole, and the quasinormal…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Richard H. Price , Ritesh Bachhar , Gaurav Khanna

We describe in detail full numerical and perturbative techniques to compute the gravitational radiation from intermediate-mass-ratio black-hole-binary inspirals and mergers. We perform a series of full numerical simulations of nonspinning…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower , Manuela Campanelli

Strong gravity in the immediate vicinity of compact objects (e.g., black holes, neutron stars) necessitates inclusion of general relativistic effects. Traditionally, pseudo-Newtonian potential representation of gravity were favored to…

High Energy Astrophysical Phenomena · Physics 2024-10-16 Sudip K Garain , Pranayjit Dey

Ten short years ago, we had the rare privilege of witnessing the onset of a renaissance in science: humanity finally succeeded in its arduous quest to directly detect gravitational waves. This breakthrough did not occur in a vacuum: it was…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Vitor Cardoso , Shauvik Biswas , Subhodeep Sarkar

Third-order approximate solutions for surface gravity waves in the finite water depth are studied in the context of potential flow theory. This solution provides explicit expressions for the surface elevation, free-surface velocity…

Fluid Dynamics · Physics 2021-09-15 Zhe Gao , Z. C Sun , S. X Liang

Quantum nature of black hole horizons has been a subject of recent interest and scrutiny. In particular, a near-horizon quantum violation of the equivalence principle has been proposed as a resolution of the black hole information paradox.…

General Relativity and Quantum Cosmology · Physics 2019-02-14 Naritaka Oshita , Niayesh Afshordi

We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

We study gravitational absorption effects using effective on-shell scattering amplitudes. We develop an in-in probability-based framework involving plane- and partial-wave coherent states for the incoming wave to describe the interaction of…

High Energy Physics - Theory · Physics 2023-12-14 Rafael Aoude , Alexander Ochirov

This note aims to offer a non-technical and self-contained introduction to gravitational algebras and their applications in the nonequilibrium physics of gravitational systems. We begin by presenting foundational concepts from operator…

High Energy Physics - Theory · Physics 2025-07-21 Michele Cirafici

The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling…

General Relativity and Quantum Cosmology · Physics 2009-03-24 Napoleon Hernandez , Richard H. Price

We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

General Relativity and Quantum Cosmology · Physics 2011-08-24 Pablo Galaviz , Bernd Bruegmann

Ultrarelativistic collisions of black holes are ideal gedanken experiments to study the nonlinearities of general relativity. In this paper we use semianalytical tools to better understand the nature of these collisions and the emitted…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Emanuele Berti , Vitor Cardoso , Tanja Hinderer , Madalena Lemos , Frans Pretorius , Ulrich Sperhake , Nicolas Yunes

Inspiralling binary systems of neutron stars or black holes are promising sources of gravitational radiation detectable by large-scale laser interferometric gravitational observatories, such as the US LIGO and Italian-French VIRGO projects.…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Clifford M. WILL

The numerous ways of introducing spatial gravitational forces are fit together in a single framework enabling their interrelationships to be clarified. This framework is then used to treat the ``acceleration equals force" equation and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Robert T. Jantzen , Paolo Carini , Donato Bini

I outline the theory of accretion onto black holes, and its application to observed phenomena such as X-ray binaries, active galactic nuclei, tidal disruption events, and gamma-ray bursts. The dynamics as well as radiative signatures of…

High Energy Astrophysical Phenomena · Physics 2014-10-31 Mitchell C. Begelman

A new method of approximation scheme with potential application to a general interacting quantum system is presented. The method is non-perturbative, self- consistent, systematically improvable and uniformly applicable for arbitrary…

Quantum Physics · Physics 2008-06-13 Nabaghan Santi

This a particularly exciting time for gravitational wave physics. Ground-based gravitational wave detectors are now operating at a sensitivity such that gravitational radiation may soon be directly detected, and recently several groups have…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Manuela Campanelli , Frans Pretorius , Yosef Zlochower

Recent works have suggested that nonlinear (quadratic) effects in black hole perturbation theory may be important for describing a black hole ringdown. We show that the technique of uniform approximations can be used to accurately compute…

High Energy Physics - Theory · Physics 2023-12-12 Bruno Bucciotti , Adrien Kuntz , Francesco Serra , Enrico Trincherini