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Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle's position around flat space. Using a recent relational approach to…

High Energy Physics - Theory · Physics 2022-02-02 M. B. Fröb , C. Rein , R. Verch

In this article, we study the tidal effects in the gravitationally bound two-body system at next-to-next-to leading post-Newtonian order for spin-less sources in massless scalar-tensor theories. We compute the conservative dynamics, using…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Laura Bernard , Eve Dones , Stavros Mougiakakos

We demonstrate that a slowly rotating compact body subjected to a stationary tidal field undergoes a dynamical response, in which the fluid variables and the interior metric vary on the time scale of the rotation period. This dynamical…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Philippe Landry , Eric Poisson

Gravitational-wave astronomy with coalescing binary neutron star sources requires the availability of gravitational waveforms with tidal effects accurate up to merger. This article presents an improved version of \TEOBResum, a nonspinning…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Sarp Akcay , Sebastiano Bernuzzi , Francesco Messina , Alessandro Nagar , Néstor Ortiz , Piero Rettegno

We derive the response, the real part of which provides the tidal Love numbers, for non-extremal as well as extremal Kerr black holes under generic tidal perturbations. Our results suggest that the static as well as dynamical…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Rajendra Prasad Bhatt , Sumanta Chakraborty , Sukanta Bose

We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Donato Bini , Giorgio Di Russo

In the first part of this article I determine the geometry of a slowly rotating black hole deformed by generic tidal forces created by a remote distribution of matter. The metric of the deformed black hole is obtained by integrating the…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Eric Poisson

Wave turbulence is by nature a multiple time scale problem for which there is a natural asymptotic closure. The main result of this analytical theory is the kinetic equation that describes the long-time statistical behaviour of such…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Benoît Gay , Sébastien Galtier

We present a pedagogical introduction to some key computations in gravitational waves via a side-by-side comparison with the quadrupole contribution of electromagnetic radiation. Subtleties involving gauge choices and projections over…

General Relativity and Quantum Cosmology · Physics 2022-01-31 Glauber C. Dorsch , Lucas E. A. Porto

We study static tidal Love numbers (TLNs) of a static and spherically symmetric black hole for odd-parity metric perturbations. We describe black hole perturbations using the effective field theory (EFT), formulated on an arbitrary…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Chams Gharib Ali Barura , Hajime Kobayashi , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi , Vicharit Yingcharoenrat

In certain models of conformal gravity, the propagation of gravitational waves is governed by a fourth order scalar partial differential equation. We study the initial value problem for a generalization of this equation, and derive a…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Sanjeev S. Seahra

In the present paper we take a step towards the generalization of the post-Newtonian formalism to tensor-multi-scalar theories. These are theories where we have more than one scalar field being mediators of the gravitational interaction in…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Oliver Schön , Daniela D. Doneva

We present a new approach to describe the dynamics of an isolated, gravitationally bound astronomical $N$-body system in the weak field and slow-motion approximation of the general theory of relativity. Celestial bodies are described using…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Slava G. Turyshev , Viktor T. Toth

We use a damped mass-spring model within an N-body code to simulate the tidal evolution of the spin and orbit of a self-gravitating viscoelastic spherical body moving around a point-mass perturber. The damped mass-spring model represents a…

Earth and Planetary Astrophysics · Physics 2016-06-16 Julien Frouard , Alice C. Quillen , Michael Efroimsky , David Giannella

Ultralight bosonic fields can form condensates, or clouds, around spinning black holes. When this system is under the influence of a secondary massive body, its tidal response can be quantified in the tidal Love numbers (TLNs). Although…

General Relativity and Quantum Cosmology · Physics 2025-02-12 Ricardo Arana , Richard Brito , Gonçalo Castro

Tidal Love numbers quantify the conservative static response of compact objects to external tidal fields, and are found to vanish exactly for asymptotically flat black holes in four-dimensional general relativity. Many aspects of the…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Valerio De Luca , Brandon Khek , Justin Khoury , Mark Trodden

Within scalar-tensor (ST) theories, neutron stars in binary systems experience tidal deformations caused by both their companion and the scalar field. These deformations are strongly correlated to the star's internal structure and…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Eve Dones , Laura Bernard

Context: Tidal and rotational deformation of fluid giant extra-solar planets may impact their transit light curves, making the $k_2$ Love number observable in the upcoming years. Studying the sensitivity of $k_2$ to mass concentration at…

Earth and Planetary Astrophysics · Physics 2023-08-02 Anastasia Consorzi , Daniele Melini , Giorgio Spada

We calculate tidal torque due to semi-diurnal thermal tides in rotating hot Jupiters, taking account of the effects of radiative cooling in the envelope and of the planets rotation on the tidal responses. We use a simple Jovian model…

Earth and Planetary Astrophysics · Physics 2019-07-10 Umin Lee , Daiki Murakami