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The computations of numerical relativity make use of (3+1)- decompositions of Einstein field equations. We examine the conceptual characteristics of this method; instances of compact-star binaries are considered. The preeminent role of the…

General Physics · Physics 2012-11-28 A. Loinger , T. Marsico

The increasing scope and breadth of gravitational wave detectors is providing the opportunity to explore new parameters in gravitational-wave astronomy. Eccentricity and spin-precession are two key observables to infer the origin of a…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Snehal Tibrewal , Aaron Zimmerman , Jacob Lange , Deirdre Shoemaker

Unimodular gravity is characterized by an extra condition with respect to General Relativity: the determinant of the metric is constant. This extra condition leads to a more restricted class of invariance by coordinate transformation. Even…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Júlio C. Fabris , Marcelo H. Alvarenga , Mahamadou Hamani-Daouda , Hermano Velten

The evolution of the gravitational-wave phase in the signal produced by inspiralling binaries of compact stars is modified by the nonzero deformability of the two stars. Hence, the measurement of these corrections has the potential of…

High Energy Astrophysical Phenomena · Physics 2020-11-03 Zhenyu Zhu , Ang Li , Luciano Rezzolla

By means of the Helmholtz theorem on the decomposition of vector fields, the angular momentum of the classical electromagnetic field is decomposed, in a general and manifestly gauge invariant manner, into a spin component and an orbital…

Optics · Physics 2007-05-23 A. M. Stewart

Compact binaries are an important class of gravitational-wave (GW) sources that can be detected by current and future GW observatories. They provide a testbed for general relativity (GR) in the highly dynamical strong-field regime. Here, we…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Ziming Wang , Junjie Zhao , Zihe An , Lijing Shao , Zhoujian Cao

We consider the evolution of a supermassive black hole binary (SMBHB) surrounded by a retrograde accretion disk. Assuming the disk is exactly in the binary plane and transfers energy and angular momentum to the binary via direct gas…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Jeremy D. Schnittman , Julian H. Krolik

We study a binary system composed of point particles of unequal masses in eccentric orbits in the linear regime of the characteristic formulation of general relativity, generalising a previous study found in the literature in which a system…

General Relativity and Quantum Cosmology · Physics 2016-04-07 C. E. Cedeño M. , J. C. N. de Araujo

Gravitational waves (GW) from eccentric binaries have intricate signals encoding important features about the location, creation and evolution of the sources. Eccentricity shortens the merger time, making the emitted GW statistically…

General Relativity and Quantum Cosmology · Physics 2024-05-13 Dillon Buskirk , Maria C. Babiuc Hamilton

Gravitational wave observations of eccentric binary black hole mergers will provide unequivocal evidence for the formation of these systems through dynamical assembly in dense stellar environments. The study of these astrophysically…

General Relativity and Quantum Cosmology · Physics 2019-09-06 E. A. Huerta , Roland Haas , Sarah Habib , Anushri Gupta , Adam Rebei , Vishnu Chavva , Daniel Johnson , Shawn Rosofsky , Erik Wessel , Bhanu Agarwal , Diyu Luo , Wei Ren

As we showed in previous work, the dynamics and gravitational emission of binary neutron star systems in certain scalar-tensor theories can differ significantly from that expected from General Relativity in the coalescing stage. In this…

General Relativity and Quantum Cosmology · Physics 2015-04-22 Marcelo Ponce , Carlos Palenzuela , Enrico Barausse , Luis Lehner

Scalar-tensor theories leaving significant modifications of gravity at cosmological scales rely on screening mechanisms to recover General Relativity (GR) in high-density regions and pass stringent tests with astrophysical objects. Much…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Cyril Renevey , Ryan McManus , Charles Dalang , Lucas Lombriser

The equations of motion of nonspinning compact binary systems at the third post-Newtonian (PN) order in massless scalar-tensor theories have recently been obtained. In the present paper, we complete this work by computing at 3PN order the…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Laura Bernard

Extrasolar circumbinary planets are so called because they orbit two stars instead of just one; to date, an increasing number of such planets have been discovered with a variety of techniques. If the orbital frequency of the hosting stellar…

General Relativity and Quantum Cosmology · Physics 2022-10-24 Lorenzo Iorio

We model the effect of resonances between time-varying perturbative forces and the epi-cyclical motion of eccentric binaries in the gravitational wave (GW) driven regime. These induce secular drifts in the orbital elements which are…

Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

The gravitational wave signal from merging compact binaries encodes information about their orbital and intrinsic properties. Over the last few years, state-of-the-art waveform models have begun to incorporate the effects of orbital…

High Energy Astrophysical Phenomena · Physics 2026-05-14 Natalie Malagon , Richard O'Shaughnessy

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

In shift-symmetric Einstein-scalar-Gauss-Bonnet gravity, stationary black holes have a non-vanishing scalar charge. During the inspiral, the phase evolution is modified by several effects, primarily an additional scalar dipole radiation,…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Maxence Corman , Llibert Aresté Saló , Katy Clough

Gravitational radiation can be decomposed as an infinite sum of radiative multipole moments, which parametrize the waveform at infinity. The multipolar-post-Minkowskian formalism provides a connection between these multipoles and the source…

General Relativity and Quantum Cosmology · Physics 2022-06-15 Donato Bini , Andrea Geralico
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