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We present the contribution from potential interactions to the dynamics of non-spinning binaries to fourth Post-Minkowskian (4PM) order. This is achieved by computing the scattering angle to ${\cal O}(G^4)$ using the effective field theory…

High Energy Physics - Theory · Physics 2022-06-01 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We present a method for solving the first-order field equations in a post-Newtonian (PN) expansion. Our calculations generalize work of Bini and Damour and subsequently Kavanagh et al., to consider eccentric orbits on a Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2016-02-10 Seth Hopper , Chris Kavanagh , Adrian C. Ottewill

We obtain the equations of motion for compact binary systems (black holes or neutron stars) in an alternative theory of gravity known as Einstein-AEther theory, which supplements the standard spacetime metric with a timelike four-vector…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Fatemeh Taherasghari , Clifford M. Will

TEOBResumS and SEOBNRv4 are the two existing semi-analytical gravitational waveform models for spin-aligned coalescing black hole binaries based on the effective-one-body approach.They are informed by numerical relativity simulations and…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Piero Rettegno , Fabio Martinetti , Alessandro Nagar , Donato Bini , Gunnar Riemenschneider , Thibault Damour

The detection of gravitational waves and the extraction of physical information from them requires the prediction of accurate waveforms to be used in template banks. For that purpose, the accuracy of effective-one-body (EOB) waveforms has…

Accurate and computationally efficient waveform models are required to infer the parameters of compact binaries from their gravitational wave (GW) emission. Among these parameters, orbital eccentricity serves as a smoking gun for dynamical…

We formulate a Hamiltonian description of the orbital motion of a point particle in Kerr spacetime for generic (eccentric, inclined) orbits, which accounts for the effects of the conservative part of the gravitational self-force. This…

General Relativity and Quantum Cosmology · Physics 2017-06-12 Ryuichi Fujita , Soichiro Isoyama , Alexandre Le Tiec , Hiroyuki Nakano , Norichika Sago , Takahiro Tanaka

Gravitational wave observatories targeted for compact binary coalescence, such as LIGO and VIRGO, require various theoretical inputs for their efficient detection. One of such inputs are analytical description of binary dynamics at…

High Energy Physics - Theory · Physics 2020-07-27 Jung-Wook Kim

We introduce \TEOBiResumSM{}, a nonspinning inspiral-merger-ringdown waveform model built within the effective one body (EOB) framework that includes gravitational waveform modes beyond the dominant quadrupole $(\ell,|m|) = (2,2)$. The…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Alessandro Nagar , Geraint Pratten , Gunnar Riemenschneider , Rossella Gamba

We calculate the explicit equations of motion for non-spinning compact objects to 2.5 post-Newtonian order, or O(v/c)^5 beyond Newtonian gravity, in a general class of scalar-tensor theories of gravity. We use the formalism of the Direct…

General Relativity and Quantum Cosmology · Physics 2013-05-14 Saeed Mirshekari , Clifford M. Will

We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering…

High Energy Physics - Theory · Physics 2021-02-03 Gianluca Grignani , Troels Harmark , Marta Orselli , Andrea Placidi

In this series we construct an effective field theory (EFT) in curved spacetime to study gravitational radiation and backreaction effects. We begin in this paper with a derivation of the self-force on a compact object moving in the…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Chad R. Galley , B. L. Hu

We derive the equation of motion for the relativistic compact binaries in the post-Newtonian approximation taking explicitly their strong internal gravity into account. For this purpose we adopt the method of the point particle limit where…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Yousuke Itoh , Toshifumi Futamase , Hideki Asada

In this article we discuss the accuracy of effective one-dimensional theories used to describe the behavior of ultracold atomic ensembles confined in quantum wires by a harmonic trap. We derive within a fully many-body approach the…

Quantum Gases · Physics 2023-05-03 F Chevy , G Orso

We extend the gravitational self-force methodology to identify and compute new $O(\mu)$ tidal invariants for a compact body of mass $\mu$ on a quasi-circular orbit about a black hole of mass $M \gg \mu$. In the octupolar sector we find…

General Relativity and Quantum Cosmology · Physics 2015-12-24 Patrick Nolan , Chris Kavanagh , Sam R Dolan , Adrian C Ottewill , Niels Warburton , Barry Wardell

By introducing a set of auxiliary equations representing a many-body system, we have derived an extension of the Kohn-Sham scheme for the density functional theory. These equations consist of a Kohn-Sham-type equation determining…

Materials Science · Physics 2009-11-07 Koichi Kusakabe

The chiral Abelian Higgs model is studied at finite temperature. By integrating out the heavy modes, we make a three-dimensional effective theory for the static modes. It is demonstrated that the plasma masses are correctly reproduced to…

High Energy Physics - Phenomenology · Physics 2016-09-01 Jens O. Andersen

We compute the conservative piece of the gravitational self-force (GSF) acting on a particle of mass m_1 as it moves along an (unstable) circular geodesic orbit between the innermost stable circular orbit (ISCO) and the light ring of a…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Sarp Akcay , Leor Barack , Thibault Damour , Norichika Sago

Using post-Newtonian equations of motion for fluid bodies valid to the second post-Newtonian order, we derive the equations of motion for binary systems with finite-sized, non-spinning but arbitrarily shaped bodies. In particular we study…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Mitchell , Clifford M. Will

We propose a gauge invariant formulation of the effective potential in terms of a gauge invariant order parameter, for the Abelian Higgs model. The one-loop contribution at zero and finite temperature is computed explicitly, and the leading…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Boyanovsky , D. Brahm , R. Holman , D. -S. Lee