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We investigate the effect of spin-orbit and spin-spin couplings on the estimation of parameters for inspiralling compact binaries of massive black holes, and for neutron stars inspiralling into intermediate-mass black holes, using…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Emanuele Berti , Alessandra Buonanno , Clifford M. Will

Stellar mass objects orbiting around supermassive black holes are primary targets for future gravitational wave detectors like LISA. However, in theories beyond general relativity, the corresponding waveform templates are still relatively…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Adrien Kuntz , Riccardo Penco , Federico Piazza

We investigate the divergent perturbative series of correlation functions for a massless, self-interacting scalar field in de Sitter space. First, we use our previously proposed method of autonomous equations to obtain finite time-dependent…

High Energy Physics - Theory · Physics 2026-05-12 Alexander Kamenshchik , Polina Petriakova , Tereza Vardanyan

We study the influence of perturbations in the three dimensional isotropic harmonic oscillator problem considering different perturbing force laws and apply our results in the context of celestial mechanics, particularly in the movement of…

Classical Physics · Physics 2025-10-31 J. Oliveira-Cony , C. Farina

In this article we characterise discrete time stationary fields by difference equations involving stationary increment fields and self-similar fields. This gives connections between stationary fields, stationary increment fields and,…

Probability · Mathematics 2023-01-05 Marko Voutilainen , Lauri Viitasaari , Pauliina Ilmonen

We consider the motion of a harmonically trapped overdamped particle, which is submitted to a self-phoretic force, that is proportional to the gradient of a diffusive field for which the particle itself is the source. In agreement with…

Statistical Mechanics · Physics 2025-01-23 A. Alexandre , L. Anderson , T. Collin-Dufresne , T. Guérin , D. S. Dean

We show how a nearly massless scalar field conformally and disformally coupled to matter can affect the dynamics of two bodies in their inspiralling phase before merging. We discuss both the conservative dynamics, e.g. how the energy of the…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Philippe Brax , Anne-Christine Davis , Adrien Kuntz

We study the properties of cosmological density perturbations in a multi-component system consisting of a scalar field and a perfect fluid. We discuss the number of degrees of freedom completely describing the system, introduce a full set…

In this Letter, we use a model fluid mechanics experiment to elucidate the impact of curvature heterogeneities on two-dimensional fields deriving from harmonic potential functions. This result is directly relevant to explain the smooth…

Soft Condensed Matter · Physics 2023-09-08 Stéphane Guillet , Benjamin Guiselin , Mariem Boughzala , Vassili Desages , Denis Bartolo

A self-consistent system of interaction nonlinear spinor and scalar fields within the scope of a BI cosmological model filled with perfect fluid is considered. The role of spinor field in the evolution of the Universe is studied. It is…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Bijan Saha

Isolated long-range interacting particle systems appear generically to relax to non-equilibrium states ("quasi-stationary states" or QSS) which are stationary in the thermodynamic limit. A fundamental open question concerns the "robustness"…

Statistical Mechanics · Physics 2016-05-25 Michael Joyce , Jules Morand , Pascal Viot

We present a numerical study of charged particle motion in a time-independent magnetic field in cylindrical geometry. The magnetic field model consists of an unperturbed reversed-shear helical part and a perturbation consisting of a…

In this work, we formulate a path-integral optimization for two dimensional conformal field theories perturbed by relevant operators. We present several evidences how this optimization mechanism works, based on calculations in free field…

High Energy Physics - Theory · Physics 2018-07-13 Arpan Bhattacharyya , Pawel Caputa , Sumit R. Das , Nilay Kundu , Masamichi Miyaji , Tadashi Takayanagi

We compute the third order gauge invariant action for scalar-graviton interactions in the Jordan frame. We demonstrate that the gauge invariant action for scalar and tensor perturbations on one physical hypersurface only differs from that…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Tomislav Prokopec , Jan Weenink

Gravitational perturbations of the de Sitter spacetime are investigated using the Regge--Wheeler formalism. The set of perturbation equations is reduced to a single second order differential equation of the Heun-type for both electric and…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Donato Bini , Giampiero Esposito , Andrea Geralico

Many astrophysical systems encompass very large dynamical ranges in space and time, which are not accessible by direct numerical simulations. Thus, idealized subvolumes are often used to study small-scale effects including the dynamics of…

Fluid Dynamics · Physics 2018-05-23 Philipp Grete , Brian W. O'Shea , Kris Beckwith

We consider Hamiltonian diffeomorphisms of the Euclidean space, generated by compactly supported time-dependent perturbations of hyperbolic quadratic forms. We prove that, under some natural assumptions, such a diffeomorphism must have…

Symplectic Geometry · Mathematics 2016-01-20 Basak Z. Gurel

The perturbation theory plays an important role in studying structure formation in cosmology and post-Newtonian physics, but not all phenomena can be described by the linear perturbation theory. Thus, It is necessary to study exact…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Alireza Allahyari , Javad T. Firouzjaee , Reza Mansouri

This work presents a new parametrisation suitable for parameter-space studies of heliocentric Earth-impacting orbits. Originally motivated by the issue of potentially hazardous asteroids (PHAs) and the mitigation of such a risk, we show…

Earth and Planetary Astrophysics · Physics 2017-12-25 Alexandre Payez

The character of quantum corrections to the gravitational action of a conformally invariant field theory for a self-interacting scalar field on a manifold with boundary is considered at third loop-order in the perturbative expansion of the…

High Energy Physics - Theory · Physics 2009-11-07 George Tsoupros