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The detection of gravitational waves is possible thanks to a multidisciplinary approach, involving different disciplines such as astrophysics, physics, engineering and quantum optics. Consequently, it is important today for teachers to…

General Relativity and Quantum Cosmology · Physics 2021-05-25 Matteo Luca Ruggiero

A detection method for high-frequency gravitational waves using two-dimensional ion crystals is investigated. Gravitational waves can resonantly excite the drumhead modes of the ion crystal, particularly the parity-odd modes. In the optical…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Asuka Ito , Ryuichiro Kitano , Wakutaka Nakano , Ryoto Takai

The equations which determine the response of a spinning charged particle moving in a uniform magnetic field to an incident gravitational wave are derived in the linearized approximation to general relativity. We verify that 1) the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. B. Papadopoulos

We construct the covariant effective field theory of gravity as an expansion in inverse powers of the Planck mass, identifying the leading and next-to-leading quantum corrections. We determine the form of the effective action for the cases…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Alessandro Codello , Rajeev Kumar Jain

Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasi-circular orbits, we obtain the time derivative of…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Zi-Han Zhang , Tan Liu , Zong-Kuan Guo

1. Introduction 2. Basics and outline of the method 2.1 Regions around an isolated source 2.2 The quadrupole formalism 2.3 Outline of the method 3. Properties of radiative gravitational fields 3.1 The field in the exterior domain (D_e) 3.2…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

As a low energy effective field theory, classical General Relativity receives an infrared relevant modification from the conformal trace anomaly of the energy-momentum tensor of massless, or nearly massless, quantum fields. The local form…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Emil Mottola

In this paper, we discuss the leading order correction to the equation of motion of the particle, which presumably describes the effect of gravitational radiation reaction. We derive the equation of motion in two different ways. The first…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

We compute the third post-Newtonian (3PN) accurate instantaneous contributions to the radiated gravitational wave (GW) energy and angular momentum arising from the hyperbolic passages of non-spinning compact objects. The present…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Gihyuk Cho , Subhajit Dandapat , Achamveedu Gopakumar

Previous work in the literature has studied gravitational radiation in black-hole collisions at the speed of light. In particular, it had been proved that the perturbative field equations may all be reduced to equations in only two…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Giampiero Esposito

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Donato Bini , Thibault Damour , Andrea Geralico

We set forth a method to analyze the orbital angular momentum of a light field. Instead of using the canonical formalism for the conjugate pair angle-angular momentum, we model this latter variable by the superposition of two independent…

Quantum Physics · Physics 2013-12-20 L. L. Sanchez-Soto , A. B. Klimov , P. de la Hoz , I. Rigas , J. Rehacek , Z. Hradil , G. Leuchs

In this paper we investigate the gravitational waves emission by stellar dynamical structures as complex systems in the quadrupole approximation considering bounded and unbounded orbits. Precisely, after deriving analytical expressions for…

General Relativity and Quantum Cosmology · Physics 2009-06-29 Ivana Bochicchio , Mariafelicia De Laurentis , Ettore Laserra

The paper gives an introduction to the gravitational radiation theory of isolated sources and to the propagation properties of light rays in radiative gravitational fields. It presents a theoretical study of the generation, propagation,…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Luc Blanchet , Sergei Kopeikin , Gerhard Schäfer

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

General Relativity and Quantum Cosmology · Physics 2023-06-02 David Trestini

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Laura Bernard , Luc Blanchet , David Trestini

We study the effect of cubic and tidal interactions on the spectrum of gravitational waves emitted in the inspiral phase of the merger of two non-spinning objects. There are two independent parity-even cubic interaction terms, which we take…

High Energy Physics - Theory · Physics 2021-03-03 Manuel Accettulli Huber , Andreas Brandhuber , Stefano De Angelis , Gabriele Travaglini

We use an alternative interpretation of quantum mechanics, based on the Bohmian trajectory approach, and show that the quantum effects can be included in the classical equation of motion via a conformal transformation on the background…

General Relativity and Quantum Cosmology · Physics 2019-11-20 G. Gregori , B. Reville , B. Larder

A convenient formalism for averaging the losses produced by gravitational radiation backreaction over one orbital period was developed in an earlier paper. In the present paper we generalize this formalism to include the case of a closed…

General Relativity and Quantum Cosmology · Physics 2016-08-31 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

A recently introduced approach to the gravitational dynamics of binary systems involves intricate integrals, linked to nonlocal-in-time interactions arising at the 5-loop level of classical gravitational scattering. We complete the…

General Relativity and Quantum Cosmology · Physics 2020-08-24 Donato Bini , Thibault Damour , Andrea Geralico , Stefano Laporta , Pierpaolo Mastrolia
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