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The parameterised post-Newtonian (PPN) formalism is a weak-field slow-motion approximation for both GR and some of its generalisations. It permits various parameterisations of the motion, among which are the Lagrange-type and Gauss-type…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Pini Gurfil , Michael Efroimsky

Dynamical Chern-Simons (DCS) gravity, a typical parity-violating gravitational theory, modifies both the generation and propagation of gravitational waves from general relativity (GR). In this work, we derive the gravitational waveform…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Zhao Li , Jin Qiao , Tan Liu , Rui Niu , Shaoqi Hou , Tao Zhu , Wen Zhao

The radiative evolution of the relative orientations of the spin and orbital angular momentum vectors ${\bf S}_{{\bf 1}}, {\bf S}_{{\bf 2}}$ and ${\bf L}$, characterizing a binary system on eccentric orbit is studied up to the second…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely

A ferrimagnetic spin model composed of $S=1/2$ spin-dimers and $S=5/2$ spin-chains is studied by combining the bond-operator representation (for $S=1/2$ spin-dimers) and Holstein-Primakoff transformation (for $S=5/2$ spins). A finite…

Strongly Correlated Electrons · Physics 2015-05-14 Bao Xu , Han-Ting Wang , Yupeng Wang

Upcoming observational runs of the LIGO-Virgo-KAGRA collaboration, and future gravitational-wave (GW) detectors on the ground and in space, require waveform models more accurate than currently available. High-precision waveform models can…

General Relativity and Quantum Cosmology · Physics 2024-01-24 Mohammed Khalil , Alessandra Buonanno , Jan Steinhoff , Justin Vines

We develop a fully analytical waveform model for precessing binaries with arbitrary spin vectors using post-Newtonian~(PN) theory in the extreme mass-ratio limit and a hierarchical multi-scale analysis. The analytical model incorporates…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Nicholas Loutrel , Sajal Mukherjee , Andrea Maselli , Paolo Pani

Using effective field theory techniques we compute the next to leading order Spin(1)Spin(1) terms in the potential of spinning compact objects at third Post-Newtonian order, including sub-leading self-induced finite size effects. This…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Rafael A. Porto , Ira Z. Rothstein

We use recently developed effective field theory techniques to calculate the third order post-Newtonian correction to the spin-spin potential between two spinning objects. This correction represents the first contribution to the spin-spin…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rafael A. Porto , Ira Z. Rothstein

We have studied free higher spin gauge fields through an investigation of their Hamiltonian dynamics. Over a flat space-time, their Hamiltonian constraints were identified and solved through the introduction of prepotentials, enjoying both…

Mathematical Physics · Physics 2017-10-04 Amaury Leonard

Recent advances in post-Minkowskian (PM) gravity provide new avenues for the high precision modeling of compact binaries. In conjunction with the effective one body (EOB) formalism, highly accurate PM informed models of binary black holes…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Adam Clark , Geraint Pratten

We confirm the generalized actions of the complete NLO cubic-in-spin interactions for generic compact binaries which were first tackled via an extension of the EFT of spinning gravitating objects. We first reduce these generalized actions…

High Energy Physics - Theory · Physics 2023-09-18 Michèle Levi , Roger Morales , Zhewei Yin

In this paper we reexamine the problem of the separation of spin and charge degrees of freedom in two dimensional strongly correlated systems. We establish a set of sufficient conditions for the occurence of spin and charge separation.…

Condensed Matter · Physics 2009-10-22 Christopher Mudry , Eduardo Fradkin

We study global anomalies of discrete gauge symmetries in six-dimensional supergravities and their realizations in F-theory. We explicitly construct a discrete Green-Schwarz mechanism that depends on the choice of a coupling constant and on…

High Energy Physics - Theory · Physics 2023-04-05 Markus Dierigl , Paul-Konstantin Oehlmann , Thorsten Schimannek

We use an effective field theory (EFT) approach to calculate the next to leading order (NLO) gravitational spin-orbit interaction between two spinning compact objects. The NLO spin-orbit interaction provides the most computationally complex…

General Relativity and Quantum Cosmology · Physics 2010-12-03 Michele Levi

Using effective field theory (EFT) techniques we calculate the next-to-leading order (NLO) spin-orbit contributions to the gravitational potential of inspiralling compact binaries. We use the covariant spin supplementarity condition (SSC),…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Rafael A. Porto

Tidal dissipation in spinning compact binaries imprints characteristic corrections on the late-inspiral gravitational-wave signal. We develop a next-to-leading order post-Newtonian description of dissipative, electric-quadrupolar tides in…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Anand Balivada , Abhishek Hegade K. R. , Nicolás Yunes

Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two non-spinning compact objects moving on circular orbits with frequency Omega, at leading order beyond the test-particle…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Alexandre Le Tiec , Enrico Barausse , Alessandra Buonanno

We present a new approach to the conservative dynamics of binary systems, within the effective one-body (EOB) framework, based on the use of a Lagrange multiplier to impose the mass-shell constraint. When applied to the post-Minkowskian…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Thibault Damour , Alessandro Nagar , Andrea Placidi , Piero Rettegno

We show that the equations of motion for (free) integer higher spin gauge fields can be formulated as twisted self-duality conditions on the higher spin curvatures of the spin-$s$ field and its dual. We focus on the case of four spacetime…

High Energy Physics - Theory · Physics 2018-02-02 Marc Henneaux , Sergio Hörtner , Amaury Leonard

The static, i.e., linear momentum independent, part of the next-to-leading order (NLO) gravitational spin(1)-spin(1) interaction Hamiltonian within the post-Newtonian (PN) approximation is calculated from a 3-dim. covariant ansatz for the…

General Relativity and Quantum Cosmology · Physics 2010-02-16 Jan Steinhoff , Steven Hergt , Gerhard Schäfer