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A neutron star in an inspiraling binary system is tidally deformed by its companion, and the effect leaves a measurable imprint on the emitted gravitational waves. While the tidal interaction falls within the regime of static tides during…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Tristan Pitre , Eric Poisson

To detect the gravitational-wave (GW) signal from binary neutron stars and extract information about the equation of state of matter at nuclear density, it is necessary to match the signal with a bank of accurate templates. We present the…

General Relativity and Quantum Cosmology · Physics 2010-12-28 Luca Baiotti , Thibault Damour , Bruno Giacomazzo , Alessandro Nagar , Luciano Rezzolla

We calculate the motion of binary mass systems in gravity up to the fourth post--Newtonian order. We use momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates by applying…

General Relativity and Quantum Cosmology · Physics 2020-05-20 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

We consider the motion of nonspinning, compact objects orbiting around a Kerr black hole with tidal couplings. The tide-induced quadrupole moment modifies both the orbital energy and outgoing fluxes, so that over the inspiral timescale…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Xuefeng Feng , Zhenwei Lyu , Huan Yang

The tidal response of a compact object is a key gravitational-wave observable encoding information about its interior. This link is subtle due to the nonlinearities of general relativity. We show that considering a scattering process…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Gastón Creci , Tanja Hinderer , Jan Steinhoff

Using the new methodology introduced in a recent Letter [Phys.\ Rev.\ Lett.\ {\bf 123}, 231104 (2019)], we present the details of the computation of the conservative dynamics of gravitationally interacting binary systems at the fifth…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Donato Bini , Thibault Damour , Andrea Geralico

The late part of the gravitational wave signal of binary neutron star inspirals can in principle yield crucial information on the nuclear equation of state via its dependence on relativistic tidal parameters. In the hope of analytically…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Thibault Damour , Alessandro Nagar

Unimodular gravity is a modified theory with respect to general relativity by an extra condition that the determinant of the metric is fixed. Especially, if the energy-momentum tensor is not imposed to be conserved separately, a new…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

The tidal deformations of neutron stars within an inspiraling compact binary alter the orbital dynamics, imprinting a signature on the gravitational wave signal. Modeling this signal could be done with numerical-relativity simulations, but…

General Relativity and Quantum Cosmology · Physics 2020-07-13 Kevin Barkett , Yanbei Chen , Mark A. Scheel , Vijay Varma

We elaborate on a powerful tidal interaction formalism where the multipole dynamics is kept generic and encoded in a linear response function. This response function is the gravitational counterpart of the atomic spectrum and can become of…

General Relativity and Quantum Cosmology · Physics 2013-05-22 Sayan Chakrabarti , Térence Delsate , Jan Steinhoff

We provide a method for analytically constructing high-accuracy templates for the gravitational wave signals emitted by compact binaries moving in inspiralling eccentric orbits. By contrast to the simpler problem of modeling the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thibault Damour , Achamveedu Gopakumar , Bala R. Iyer

In Newtonian gravitational theory, a tidal Love number relates the mass multipole moment created by tidal forces on a spherical body to the applied tidal field. The Love number is dimensionless, and it encodes information about the body's…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Taylor Binnington , Eric Poisson

The gravitational wave signal from a binary neutron star merger carries the imprint of the deformability properties of the coalescing bodies, and then of the equation of state of neutron stars. In current models of the waveforms emitted in…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Gonçalo Castro , Leonardo Gualtieri , Andrea Maselli , Paolo Pani

Dirac constraint theory allows to identify the York canonical basis (diagonalizing the York-Lichnerowicz approach) in ADM tetrad gravity for asymptotically Minkowskian space-times without super-translations. This allows to identify the…

General Relativity and Quantum Cosmology · Physics 2014-11-27 Luca Lusanna

Using the ${\mathcal N}=1$ supersymmetric, spinning worldline quantum field theory formalism we compute the conservative spin-orbit part of the momentum impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$ and scattering angle $\theta$ from…

High Energy Physics - Theory · Physics 2023-10-23 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer , Yingxuan Xu

The tidal response of compact objects provides a powerful probe of their internal structure and of the surrounding gravitational field. We provide a comprehensive and unified overview of tidal effects in black holes, neutron stars, and…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Sumanta Chakraborty , Paolo Pani

We study the impact of out-of-equilibrium, dissipative effects on the dynamics of inspiraling neutron stars. We find that modeling dissipative processes (such as those from the stars internal effective fluid viscosity) requires that one…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Justin L. Ripley , Abhishek Hegade K. R. , Nicolas Yunes

In this paper we include spin and multipole moment effects in the formalism used to describe the motion of extended objects recently introduced in hep-th/0409156. A suitable description for spinning bodies is developed and spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Rafael A. Porto

Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order, ${\cal O}(G^4)$. As in previous lower-order calculations, we harness powerful tools…

High Energy Physics - Theory · Physics 2021-05-20 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Michael S. Ruf , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton's contant $G$ and at all orders in the velocities, using the Effective Field Theory worldline approach. Following…

High Energy Physics - Theory · Physics 2022-07-29 Massimiliano Maria Riva , Filippo Vernizzi
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