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We present a new general method for proving global decay of energy through a suitable spacetime foliation, as well as pointwise decay, starting from an integrated local energy decay estimate. The method is quite robust, requiring only…

Analysis of PDEs · Mathematics 2025-09-30 Mihalis Dafermos , Igor Rodnianski

We present a report on the progress made in the development of computational techniques to evaluate the gravitational radiation generated by a particle orbiting a massive black hole to second pertrubative order.

Astrophysics · Physics 2009-11-10 Carlos O. Lousto

In this work I use a frequency-domain Regge-Wheeler-Zerilli approach to compute the gravitational wave energy radiated by a compact body moving along a hyperbolic or parabolic geodesic of a Schwarzschild black hole. I compare my results…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Niels Warburton

In this paper, we initiate the study of characteristic event horizon gluing in vacuum. More precisely, we prove that Minkowski space can be glued along a null hypersurface to any round symmetry sphere in a Schwarzschild black hole spacetime…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Christoph Kehle , Ryan Unger

To fully exploit the capabilities of next-generation gravitational wave detectors, we need to significantly improve the accuracy of our models of gravitational-wave-emitting systems. This paper focuses on one way of doing so: by taking…

General Relativity and Quantum Cosmology · Physics 2023-06-07 Andrew Spiers , Adam Pound , Jordan Moxon

Modelling of gravitational waves from binary black hole inspiral has played an important role in the recent observations of such signals. The late-stage ringdown phase of the gravitational waveform is often associated with the null particle…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Gaurav Khanna , Richard H. Price

We present a detailed, fully nonlinear study of binary systems involving one black hole and one boson star, considering the effects of both a quartic self-interaction and a solitonic potential for the scalar field. First, we show the…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Gareth Arturo Marks , Seppe J. Staelens , Ulrich Sperhake

We report on the first results of self-consistent second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The second order waveforms satisfy a wave equation with an effective source term build…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hiroyuki Nakano , Carlos O. Lousto

Gravitational waves from precessing binary black holes exhibit new features that are absent in non-precessionary systems. All current waveform models take into account only the modulation of the signal due to precession. In this letter, we…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Cheng Zhang , Wen-Biao Han , Shu-Cheng Yang

Dark matter and dark energy dominate the behavior of our universe. The dark matter usually forms halo structures in large number of galaxies. Properties of dark matter halo can be revealed and understood from the gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Chen-Kai Qiao , Mi Zhou

We compute the gravitational birefringence of light as it undergoes gravitational lensing. To this end we re-derive the Souriau-Saturnini equations in the Schwarzschild metric and solve them numerically and perturbatively. Our main result…

General Relativity and Quantum Cosmology · Physics 2019-07-05 Christian Duval , Loic Marsot , Thomas Schucker

We study the even-parity $\ell=2$ perturbations of a Schwarzschild black hole to second order. The Einstein equations can be reduced to a single linear wave equation with a potential and a source term. The source term is quadratic in terms…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

We present a new convenient framework for modeling Reissner-Nordstr\"om black hole perturbations from charged distributions of matter. Using this framework, we quantify how gravitational wave observations of compact binary systems would be…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Justin Y. J. Burton , Thomas Osburn

The most promising way to compute the gravitational waves emitted by binary black holes (BBHs) in their last dozen orbits, where post-Newtonian techniques fail, is a quasistationary approximation introduced by Detweiler and being pursued by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ilya Mandel

We present an analytical formalism, within the Effective-One-Body framework, which predicts gravitational-wave signals from inspiralling and coalescing black-hole binaries that agree, within numerical errors, with the results of the…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Thibault Damour , Alessandro Nagar

Modeling of gravitational waves (GWs) from binary black hole inspiral brings together early post-Newtonian waveforms and late quasinormal ringing waveforms. Attempts to bridge the two limits without recourse to numerical relativity involve…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Richard H Price , Gaurav Khanna

Using the Sparling form and a geometric construction adapted to spacetimes with a 2-dimensional isometry group, we analyse a quasi-local measure of gravitational energy. We then study the gravitational radiation through spacetime junctions…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Alfonso García-Parrado , Filipe C. Mena

Maxwell's equations are invariant under both duality rotations and conformal transformations. Recently Bandos, Lechner, Sorokin, and Townsend have found a nonlinear generalisation of electrodynamics which possesses both of these symmetries.…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Daniel Flores-Alfonso , Blanca Angélica González-Morales , Román Linares , Marco Maceda

The coalescences of stellar-mass black-hole binaries through their inspiral, merger, and ringdown are among the most promising sources for ground-based gravitational-wave (GW) detectors. If a GW signal is observed with sufficient…

We give the formulation of the gravitational lensing theory in the strong field limit for a Schwarzschild black hole as a counterpart to the weak field approach. It is possible to expand the full black hole lens equation to work a simple…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. Bozza , S. Capozziello , G. Iovane , G. Scarpetta