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Stellar deformations play a significant role in the dynamical evolution of stars in binary systems, impacting the tidal dissipation and the outcomes of mass transfer processes. The prevalent method for modelling the deformations and tidal…

Solar and Stellar Astrophysics · Physics 2024-01-08 L. Fellay , M. -A. Dupret , S. Rosu

We present a coordinate-free approach for constructing approximate first integrals of generalized slow-fast Hamiltonian systems, based on the global averaging method on parameter-dependent phase spaces with $\mathbb{S}^1 -$symmetry.…

Dynamical Systems · Mathematics 2014-05-06 M. Avendaño-Camacho , J. A. Vallejo , Yu. Vorobiev

The Laser Interferometer Space Antenna, LISA, will detect gravitational wave signals from Extreme Mass Ratio Inspirals, where a stellar mass compact object orbits a supermassive black hole and eventually plunges into it. Here we report on…

General Relativity and Quantum Cosmology · Physics 2022-03-16 Andrea Maselli , Nicola Franchini , Leonardo Gualtieri , Thomas P. Sotiriou , Susanna Barsanti , Paolo Pani

A partially first-order form of the characteristic formulation is introduced to control the accuracy in the computation of gravitational waveforms produced by highly distorted single black hole spacetimes. Our approach is to reduce the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Roberto Gomez

As the compact binary catalog continues to grow rapidly, developing and refining tests to probe the nature of compact objects is essential for a comprehensive understanding of both the observed data and the underlying astrophysics of the…

High Energy Astrophysical Phenomena · Physics 2025-09-15 N. V. Krishnendu , Frank Ohme , K. G. Arun

Many gravitational wave (GW) sources in the LISA band are expected to have non-negligible eccentricity. Furthermore, many of them can undergo acceleration because they reside in the presence of a tertiary. Here we develop analytical and…

High Energy Astrophysical Phenomena · Physics 2023-02-22 Zeyuan Xuan , Smadar Naoz , Xian Chen

In previous work done by us and coworkers, we have been able to construct a local, non-Abelian gauge invariant action with a mass parameter, based on the nonlocal gauge invariant mass dimension two operator F1/D^2F. The renormalizability of…

High Energy Physics - Theory · Physics 2008-11-26 David Dudal , Nele Vandersickel , Henri Verschelde

Affine gravity and the Palatini formalism contribute both to produce a simple and unique formula for calculating charges at spatial and null infinity for Lovelock type Lagrangians whose variational derivatives do not depend on second-order…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Joseph Katz , Gideon I. Livshits

Accurate calculation of the motion of a compact object in a background spacetime induced by a supermassive black hole is required for the future detection of such binary systems by the gravitational-wave detector LISA. Reaching the desired…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eran Rosenthal

In many data analyses, each measurement may come with a simple yes/no correction; for example, belonging to one of two populations or being contaminated or not. Ignoring such binary effects may bias the results, while accounting for them…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-13 Marcus Högås , Edvard Mörtsell

We show that the equations of motion of two-dimensional dilaton gravity conformally coupled to a scalar field can be reduced to a single non-linear second-order partial differential equation when the coordinates are chosen to coincide with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Navarro

Compact binary systems with total masses between tens and hundreds of solar masses will produce gravitational waves during their merger phase that are detectable by second-generation ground-based gravitational-wave detectors. In order to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kipp Cannon , Chad Hanna , Drew Keppel

Exceptional field theories yield duality-covariant formulations of higher-dimensional supergravity. They have proven to be an efficient tool for the construction of consistent truncations around various background geometries. In this paper,…

High Energy Physics - Theory · Physics 2020-11-18 Emanuel Malek , Henning Samtleben

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

It is shown how point charges and point dipoles with finite self-energies can be accomodated into classical electrodynamics. The key idea is the introduction of constitutive relations for the electromagnetic vacuum, which actually mirrors…

Classical Physics · Physics 2007-05-23 S. M. Blinder

We reflect on the possibility of having a matter action that is invariant only under transverse diffeomorphisms. This possibility is particularly interesting for the dark sector, where no restrictions arise based on the weak equivalence…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Darío Jaramillo-Garrido , Antonio L. Maroto , Prado Martín-Moruno

Tidal interactions have a significant influence on the late dynamics of compact binary systems, which constitute the prime targets of the upcoming network of gravitational-wave detectors. We refine the theoretical description of tidal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Donato Bini , Thibault Damour

We investigate a class of gravity theories respecting only spatial covariance, termed spatially covariant gravity, in the presence of an auxiliary scalar field. We examine the conditions on the Lagrangian required to eliminate scalar…

General Relativity and Quantum Cosmology · Physics 2024-03-25 Zhi-Chao Wang , Xian Gao

Scalar fields on a two dimensional curved surface are considered and the canonical structure of this theory analyzed. Both the first and second order forms of the Einstein-Hilbert (EH) action for the metric are used (these being…

High Energy Physics - Theory · Physics 2011-11-08 D. G. C. McKeon , Alexander Patrushev

We use the spinor helicity formalism in order to derive the dyadic forms for massless fields of various spins. We also give an iterated form of this approach in case higher spin theories are under study. This reduces calculations at hard…

High Energy Physics - Theory · Physics 2016-10-13 Alexis Kassiteridis