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Related papers: Generalized Perturbed Kepler Problem: Gravitationa…

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We report on the properties of eclipsing binaries from the Kepler mission with a newly developed photometric modeling code, which uses the light curve, spectral energy distribution of each binary, and stellar evolution models to infer…

Solar and Stellar Astrophysics · Physics 2019-08-14 Diana Windemuth , Eric Agol , Aleezah Ali , Flavien Kiefer

In this paper we present a framework which provides an analytical (i.e., infinitely differentiable) transformation between spatial coordinates and orbital elements for the solution of the gravitational two-body problem. The formalism omits…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 András Pál

We compute the gravitational fluxes and waveform for eccentric compact binaries including matter effects through adiabatic tidal interactions within the post-Newtonian approximation. The computations are performed at the relative 2.5PN…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Quentin Henry

Gravitational wave (GW) oscillations occur whenever there are additional tensor modes interacting with the perturbations of the metric coupled to matter. These extra modes can arise from new spin-2 fields (as in e.g. bigravity theories) or…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 Jose Beltrán Jiménez , Jose María Ezquiaga , Lavinia Heisenberg

We generalise Phinney's 'practical theorem' to account for modified graviton dispersion relations motivated by certain cosmological scenarios. Focusing on specific examples, we show how such modifications can induce characteristic localised…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Bill Atkins , Ameek Malhotra , Gianmassimo Tasinato

Black hole binaries with small mass ratios will be important sources for the forthcoming Laser Interferometer Space Antenna (LISA) mission. Models of such binaries also serve as useful tools for understanding the dynamics of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Devin R. Becker , Scott A. Hughes , Gaurav Khanna

We compute the non-linear memory contributions to the gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian (3PN) order in general relativity. These contributions are hereditary in nature as they…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Michael Ebersold , Yannick Boetzel , Guillaume Faye , Chandra K. Mishra , Bala R. Iyer , Philippe Jetzer

Emergent modified gravity has shown that the canonical formulation of general relativity gives rise to a larger class of covariant modifications than action-based approaches, so far in symmetry-reduced models. This outcome is made possible…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Martin Bojowald , Manuel Diaz , Erick I. Duque

The second post-Newtonian (2PN) contribution to the `plus' and `cross' gravitational wave polarizations associated with gravitational radiation from non-spinning, compact binaries moving in elliptic orbits is computed. The computation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. Gopakumar , Bala R. Iyer

This chapter provides an overview of gravitational wave (GW) astronomy, providing background material that underpins the other, more specialized chapters in this handbook. It starts with a brief historical review of the development of GW…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Nigel T. Bishop

We perform a statistical analysis of the binary black hole problem in the post-Newtonian approximation by systematically sampling and evolving the parameter space of initial configurations for quasi-circular inspirals. Through a principal…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Chad R. Galley , Frank Herrmann , John Silberholz , Manuel Tiglio , Gustavo Guerberoff

We review the kinematic effects on a gravitational wave due to either a peculiar motion of the astrophysical source emitting it or a local motion of the observer. Working in the context of general relativity, we show at fully non-linear…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Giulia Cusin , Cyril Pitrou , Camille Bonvin , Aurélien Barrau , Killian Martineau

We numerically integrate the Einstein's equations for a spatially flat Friedmann-Lemaire-Robertson-Walker (FLRW) background spacetime with a spatial curvature perturbation and evolving primordial tensor perturbations using the Einstein…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-29 Ke Wang

Over the next decade, third-generation interferometers and the space-based LISA mission will observe binaries in galactic centers involving supermassive black holes with millions of solar masses. More precise measurements of more extreme…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Francisco Duque

General relativity describes the dynamics of gravitational waves, which can feature nonlinear interactions, such as those underlying turbulent processes. Theoretical and numerical explorations have demonstrated the existence of…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Holly Krynicki , Jiaxi Wu , Elias R. Most

A recent study established a correspondence between the Generalized Uncertainty Principle (GUP) and Modified theories of gravity, particularly Stelle gravity. We investigate the consequences of this correspondence for inflation and…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Saurya Das , S. Shankaranarayanan , Vasil Todorinov

We present a novel way of modeling common envelope evolution in binary and few-body systems. We consider the common envelope inspiral as driven by a drag force with a power-law dependence in relative distance and velocity. The orbital…

Most of compact binary systems are expected to circularize before the frequency of emitted gravitational waves (GWs) enters the sensitivity band of the ground based interferometric detectors. However, several mechanisms have been proposed…

Compact binaries are the most promising source for the advanced gravitational wave detectors, which will start operating this year. The influence of spin on the binary evolution is an important consequence of general relativity and can be…

General Relativity and Quantum Cosmology · Physics 2016-01-28 Jan Steinhoff

In the typical data analysis and waveform modeling of the gravitational waves (GWs) signals for binary black holes (BBHs), it is assumed to be isolate sources in the vacuum within the theory of general relativity (GR). However, various…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Xulong Yuan , Jian-dong Zhang , Jianwei Mei
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