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Related papers: Spin supplementary conditions for spinning compact…

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Spin-orbit coupling is widespread in binary asteroid systems and it has been widely studied for the case of ellipsoidal secondary. Due to angular momentum exchange, dynamical coupling is stronger when the orbital and rotational angular…

Earth and Planetary Astrophysics · Physics 2024-08-01 Hanlun Lei

We study the conservative dynamics of spinless compact objects in a general effective theory of gravity which includes a metric and an arbitrary number of scalar fields, through $\mathcal{O}(G^{3})$. Departures from Einstein gravity, which…

High Energy Physics - Theory · Physics 2025-08-14 Jordan Wilson-Gerow

The orbital energy and momentum of the compact binary systems will loss due to gravitational radiation. Based on the mass and mass-current multipole moments of the binary system with the spin vector defined by Boh\'{e} et al. [Class.…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Hao Zhang , Wei Gao , Guansheng He , Siming Liu , Huanyu Jia , Wenbin Lin

Building upon the Noether charge formalism of Iyer and Wald, we derive a variational formula for spacetimes admitting a Killing vector field, for a generic energy-momentum distribution with compact support. Applying this general result to…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Paul Ramond , Alexandre Le Tiec

Hyperbolic encounters of compact objects are common interactions in dense environments. During this process a significant amount of gravitational radiation is emitted depending on the parameters of the system. Here we give a parametric…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Mátyás Vasúth

With octahedrally coordinated $t_{\rm 2g}$ orbitals which are active at filling $n=2$, the $\rm Sr_2CrO_4$ compound exhibits rich interplay of spin-orbital physics with tetragonal distortion induced crystal field tuning by external agent…

Strongly Correlated Electrons · Physics 2022-10-20 Shubhajyoti Mohapatra , Dheeraj Kumar Singh , Avinash Singh

A Hamiltonian formulation is given for the gravitational dynamics of two spinning compact bodies to next-to-leading order ($G/c^4$ and $G^2/c^4$) in the spin-orbit interaction. We use a novel approach (valid to linear order in the spins),…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

Most exoplanetary systems in binary stars are of S--type, and consist of one or more planets orbiting a primary star with a wide binary stellar companion. Gravitational forcing of a single planet by a sufficiently inclined binary orbit can…

Earth and Planetary Astrophysics · Physics 2015-09-16 Jihad R. Touma , S. Sridhar

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

The motion of compact binaries is influenced by the spin of their components starting at the 1.5 post-Newtonian (PN) order. On the other hand, in the large mass ratio limit, the spin of the lighter object appears in the equations of motion…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Vojtěch Witzany , Viktor Skoupý , Leo C. Stein , Sashwat Tanay

We compute the conservative dynamics of non-spinning binaries at fourth Post-Minkowskian order in the large-eccentricity limit, including both potential and radiation-reaction tail effects. This is achieved by obtaining the scattering angle…

High Energy Physics - Theory · Physics 2022-05-30 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We study the gravitational dynamics in the early inspiral phase of coalescing compact binaries using Non-Relativistic General Relativity (NRGR) - an effective field theory formalism based on the post-newtonian expansion, but which provides…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Delphine L. Perrodin

Using maximally localized Wannier functions obtained from DFT calculations, we derive an effective Hubbard Hamiltonian for a bilayer of Sr$_3$Cr$_2$O$_7$, the $n=2$ member of the Ruddlesden-Popper Sr$_{n+1}$Cr$_n$O$_{3n+1}$ system. The…

Strongly Correlated Electrons · Physics 2019-06-05 A. A. Aligia , C. Helman

Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

We present a method to study the time variation of the orbital parameters of a Post-Keplerian binary system undergoing a generic external perturbation. The method is the relativistic extension of the planetary Lagrangian equations. The…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Mirco Calura , Pierluigi Fortini , Enrico Montanari

We compute the leading order contribution to radiative losses in the case of spinning binaries with aligned spins due to their spin-orbit interaction. The orbital average along hyperboliclike orbits is taken through an appropriate…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Donato Bini , Andrea Geralico , Piero Rettegno

The present paper addresses open questions regarding the handling of the spin supplementary condition within the effective field theory approach to the post-Newtonian approximation. In particular it is shown how the covariant spin…

General Relativity and Quantum Cosmology · Physics 2012-05-21 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

Recently we derived the next-to-next-to-leading order post-Newtonian Hamiltonians at spin-orbit and spin(1)-spin(2) level for a binary system of compact objects. In this talk the derivation of them will be shortly outlined at an…

General Relativity and Quantum Cosmology · Physics 2013-03-05 Johannes Hartung , Jan Steinhoff , Gerhard Schäfer

We formally show that the conservative second post-Newtonian (PN) accurate dynamics of spinning compact binaries moving in eccentric orbits, when spin effects are restricted to the leading order spin-orbit interaction cannot be chaotic for…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Achamveedu Gopakumar , Christian Koenigsdoerffer

We investigate a quantum nonrelativistic system describing the interaction of two particles with spin 1/2 and spin 0, respectively. We assume that the Hamiltonian is rotationally invariant and parity conserving and identify all such systems…

Mathematical Physics · Physics 2015-06-11 Jean-Francois Desilets , Pavel Winternitz , Ismet Yurdusen