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Related papers: Gravitational spin-orbit coupling through the thir…

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Recently we have computed the third order corrections to the ground state energy of the arbitrarily polarized diluted gas of spin 1/2 fermions interacting through a spin-independent repulsive two-body potential. Here we extend this result…

Quantum Gases · Physics 2023-07-05 Piotr H. Chankowski , Jacek Wojtkiewicz , Szymon Augustynowicz

Compact binaries inspiralling along eccentric orbits are plausible gravitational wave (GW) sources for the ground-based laser interferometers. We explore the losses in the event rates incurred when searching for GWs from compact binaries…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Tessmer , A. Gopakumar

We introduce a new methodology for deriving the conservative dynamics of gravitationally interacting binary systems. Our approach combines, in a novel way, several theoretical formalisms: post-Newtonian, post-Minkowskian,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Donato Bini , Thibault Damour , Andrea Geralico

The leading order finite size effects due to spin, namely that of the cubic and quartic in spin interactions, are derived for the first time for generic compact binaries via the effective field theory for gravitating spinning objects. These…

General Relativity and Quantum Cosmology · Physics 2015-07-02 Michele Levi , Jan Steinhoff

In this paper we derive for the first time the N$^3$LO gravitational spin-orbit coupling at order $G^4$ in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the…

High Energy Physics - Theory · Physics 2021-07-20 Michèle Levi , Andrew J. McLeod , Matthew von Hippel

The paper generalizes the structure of gravitational waves from orbiting spinning binaries under leading order spin-orbit coupling, as given in the work by K\"onigsd\"orffer and Gopakumar [PRD 71, 024039 (2005)] for single-spin and…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Manuel Tessmer

We study isolated and binary neutron stars in dynamical Chern-Simons gravity. This theory modifies the Einstein-Hilbert action through the introduction of a dynamical scalar field coupled to the Pontryagin density. We here treat this theory…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Kent Yagi , Leo C. Stein , Nicolas Yunes , Takahiro Tanaka

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang

To establish a self-consistent effective one-body (EOB) theory that describes the dynamical evolution of binary systems based on the post-Minkowskian (PM) approximation, where the Hamiltonian, radiation reaction force, and waveforms are…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Jiliang Jing , Weike Deng , Sheng Long

(Abridged) We revisit the problem of parameter estimation of gravitational-wave chirp signals from inspiralling non-spinning compact binaries in the light of the recent extension of the post-Newtonian (PN) phasing formula to order $(v/c)^7$…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K. G. Arun , Bala R Iyer , B. S. Sathyaprakash , Pranesh A. Sundararajan

Compact binaries can have non-negligible orbital eccentricities in the frequency band of ground-based gravitational-wave detectors, depending on their astrophysical formation channels. To accurately determine the parameters of such systems,…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Quentin Henry , Mohammed Khalil

In this article the quasi-Keplerian parameterisation for the case that spins and orbital angular momentum in a compact binary system are aligned or anti-aligned with the orbital angular momentum vector is extended to 3PN point-mass,…

General Relativity and Quantum Cosmology · Physics 2015-12-08 Manuel Tessmer , Johannes Hartung , Gerhard Schäfer

We calculate the spin-orbit corrections to the loss of angular momentum in a two-body scattering at third Post-Minkowskian order, $\mathcal O(G^3)$, from scattering amplitudes using the eikonal operator. These results include effects linear…

High Energy Physics - Theory · Physics 2023-09-06 Carlo Heissenberg

Using a recent, novel Hamiltonian formulation of the gravitational interaction of spinning binaries, we extend the Effective One Body (EOB) description of the dynamics of two spinning black holes to next-to-leading order (NLO) in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

Building on a recent paper in which we computed the canonical Hamiltonian of a spinning test particle in curved spacetime, at linear order in the particle's spin, we work out an improved effective-one-body (EOB) Hamiltonian for spinning…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Enrico Barausse , Alessandra Buonanno

Building on the recently computed next-to-next-to-leading order (NNLO) post-Newtonian (PN) spin-orbit Hamiltonian for spinning binaries \cite{Hartung:2011te} we extend the effective-one-body (EOB) description of the dynamics of two spinning…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alessandro Nagar

We present Keplerian-type parametrization for the solution of third post-Newtonian (3PN) accurate equations of motion for two non-spinning compact objects moving in an eccentric orbit. The orbital elements of the parametrization are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Raoul-Martin Memmesheimer , Achamveedu Gopakumar , Gerhard Schäfer

The general relativistic corrections in the equations of motion and associated energy of a binary system of point-like masses are derived at the third post-Newtonian (3PN) order. The derivation is based on a post-Newtonian expansion of the…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Luc Blanchet , Guillaume Faye

Using an energy variational method, we calculate quasi-equilibrium configurations of binary neutron stars modeled as compressible triaxial ellipsoids obeying a polytropic equation of state. Our energy functional includes terms both for the…

Astrophysics · Physics 2009-10-30 James C. Lombardi , Frederic A. Rasio , Stuart L. Shapiro

Using maximally localized Wannier functions obtained from DFT calculations, we derive an effective Hubbard Hamiltonian for a bilayer of Sr$_3$Cr$_2$O$_7$, the $n=2$ member of the Ruddlesden-Popper Sr$_{n+1}$Cr$_n$O$_{3n+1}$ system. The…

Strongly Correlated Electrons · Physics 2019-06-05 A. A. Aligia , C. Helman
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