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We present an Effective Field Theory (EFT) formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by…

High Energy Physics - Theory · Physics 2013-05-29 Walter D. Goldberger , Ira Z. Rothstein

A massive, nonrelativistic scalar field in an expanding spacetime is usually approximated by a pressureless perfect fluid, which leads to the standard conclusion that such a field can play the role of cold dark matter. In this paper, we…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-14 Borna Salehian , Mohammad Hossein Namjoo , David I. Kaiser

We use Lagrangian effective field theory techniques to construct the equations of motion for an ideal relativistic fluid whose constituent degrees of freedom have microscopic polarization. We discuss the meaning of such a system, and argue…

High Energy Physics - Theory · Physics 2017-09-27 David Montenegro , Leonardo Tinti , Giorgio Torrieri

We give a straightforward and divergence free derivation of the equation of motion for a small but finite object in an arbitrary background using strong field point particle limit. The resulting equation becomes a generalized geodesic for a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Takashi Fukumoto , Toshifumi Futamase , Yousuke Itoh

I review the effective field theory (EFT) description of gravitating compact objects. The focus is on kinematic regimes where gravity is perturbative, in particular the adiabatic inspiral phase relevant to gravitational wave detection. For…

High Energy Physics - Theory · Physics 2022-12-14 Walter D. Goldberger

We investigate the relativistic effective field theory (EFT) describing a non-dissipative gravitating continuum. In addition to ordinary continua, namely solids and fluids, we find an extraordinary more symmetric continuum, aether. In…

High Energy Physics - Theory · Physics 2022-09-07 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama , Kazufumi Takahashi

We review the effective field theory (EFT) approach to gravitational dynamics. We focus on extended objects in long-wavelength backgrounds and gravitational wave emission from spinning binary systems. We conclude with an introduction to EFT…

High Energy Physics - Theory · Physics 2016-05-17 Rafael A. Porto

We extend the effective field theory (EFT) formalism for gravitational radiation from a binary system of compact objects to the case of extended objects. In particular, we study the EFT for a binary system consisting of two infinitely-long…

High Energy Physics - Theory · Physics 2021-08-25 Mariana Carrillo Gonzalez , Qiuyue Liang , Mark Trodden

The relativistic fluid is a highly successful model used to describe the dynamics of many-particle, relativistic systems. It takes as input basic physics from microscopic scales and yields as output predictions of bulk, macroscopic motion.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 N. Andersson , G. L. Comer

In this introductory review article, we explore the special relativistic equations of particle motions and the consequent derivation of Einstein's famous formula $E=mc^2$. Next, we study the special relativistic electromagnetic field…

Mathematical Physics · Physics 2007-05-23 A. Das , A. DeBenedictis , S. Kloster , N. Tariq

We obtain estimates of all components of the velocity of a 3D rigid body moving in a viscous incompressible fluid without any symmetry restriction on the shape of the rigid body or the container. The estimates are in terms of suitable norms…

Analysis of PDEs · Mathematics 2023-04-25 Stathis Filippas , Alkis Tersenov

This is part 1 of 3 from the master's thesis: Modeling Compact Objects with Effective Field Theory, supervised by Amanda Weltman. Using the Effective Field Theory framework for extended objects and the coset construction, we build the…

High Energy Physics - Theory · Physics 2023-01-26 Irvin Martinez

Part 2 of 3 from master's thesis: Modeling Compact Objects with Effective Field Theory. Using the Effective Field Theory framework for extended objects, we build the effective theory of a binary system made up of the most general compact…

High Energy Physics - Theory · Physics 2023-04-06 Irvin Martinez

The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. A simple derivation of the spin interaction with gravitational field is presented. The self-consistent description of the spin…

General Relativity and Quantum Cosmology · Physics 2008-08-12 I. B. Khriplovich

We present in detail an Effective Field Theory (EFT) formulation for the essential case of spinning objects as the components of inspiralling compact binaries. We review its implementation, carried out in a series of works in recent years,…

General Relativity and Quantum Cosmology · Physics 2018-09-27 Michele Levi

In this whitepaper, I describe modern applications of effective field theory (EFT) techniques to classical and quantum gravity, with relevance to problems in astrophysics and cosmology. As in applications of EFT to high-energy, nuclear, or…

High Energy Physics - Theory · Physics 2022-06-30 Walter D. Goldberger

We consider the motion of $N$ rigid bodies -- compact sets $(\mathcal{S}^1_\varepsilon, \cdots, \mathcal{S}^N_\varepsilon )_{\varepsilon > 0}$ -- immersed in a viscous incompressible fluid contained in a domain in the Euclidean space…

Analysis of PDEs · Mathematics 2022-12-13 Eduard Feireisl , Arnab Roy , Arghir Zarnescu

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Other Condensed Matter · Physics 2009-11-10 H. -W. Hammer

The issue of the inviscid limit for the incompressible Navier-Stokes equations when a no-slip condition is prescribed on the boundary is a famous open problem. A result by Tosio Kato says that convergence to the Euler equations holds true…

Analysis of PDEs · Mathematics 2015-05-30 Franck Sueur

There has been recent progress in developing well-posed theories of relativistic viscous hydrodynamics and of gravitational effective field theories. These have in common the feature that they introduce unphysical degrees of freedom. We…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Lorenzo Gavassino , Áron D. Kovács , Harvey S. Reall
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