# Spinning compact binary inspiral: Independent variables and dynamically preserved spin configurations

@article{Gergely2010SpinningCB, title={Spinning compact binary inspiral: Independent variables and dynamically preserved spin configurations}, author={L'aszl'o 'A. Gergely}, journal={Physical Review D}, year={2010}, volume={81}, pages={084025} }

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit, spin-spin and mass quadrupole-mass monopole effects, for generic (noncircular, nonspherical) orbits. Then, we analyze the conservative spin dynamics in terms of these variables. We prove that the only binary black hole configuration allowing for spin…

## 9 Citations

Secular precessing compact binary dynamics, spin and orbital angular momentum flip-flops

- Physics
- 2016

We derive the conservative secular evolution of precessing compact binaries to second post-Newtonian order accuracy, with leading-order spin-orbit, spin-spin and mass quadrupole-monopole…

Motion and gravitational wave emission of spinning compact binaries

- Physics
- 2012

The thesis treats the subject of compact binary systems with spin in the general theory of relativity. We discuss important configurations as, in the first part of the thesis, parallel or…

Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentum-aligned spins under next-to-leading order in spin-orbit and leading order in spin(1)-spin(2) and spin-squared couplings

- Physics
- 2010

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-…

Precessing Black Hole Binaries and Their Gravitational Radiation

- Physics
- 2018

The first and second observational runs of Advanced Laser Interferometer Gravitational-wave Observatory (LIGO) have marked the first direct detections of gravitational waves, either from black hole…

Investigating the poor match among different precessing gravitational waveforms

- Physics
- 2018

The sixfold direct detection of gravitational waves opened the era of gravitational wave astronomy. All of these gravitational waves were emitted by black hole or neutron star binaries. The…

General relativistic spin-orbit and spin–spin effects on the motion of rotating particles in an external gravitational field

- Physics
- 2012

We analytically compute the orbital effects induced on the motion of a spinning particle geodesically traveling around a central rotating body by the general relativistic two-body spin–spin and…

A spinning supermassive black hole binary model consistent with VLBI observations of the S5 1928+738 jet

- Physics
- 2014

Very Long Baseline Interferometry (VLBI) allows for high-resolution and high-sensitivity observations of relativistic jets, that can reveal periodicities of several years in their structure. We…

## References

SHOWING 1-10 OF 96 REFERENCES

Higher-order spin effects in the dynamics of compact binaries. I. Equations of motion

- Physics
- 2006

We derive the equations of motion of spinning compact binaries including the spin-orbit (SO) coupling terms one post-Newtonian (PN) order beyond the leading-order effect. For black holes maximally…

Spin effects in gravitational radiation back reaction. III. Compact binaries with two spinning components

- Physics
- 1998

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The…

Spin-spin effects in radiating compact binaries

- Physics
- 1999

The dynamics of a binary system with two spinning components on an eccentric orbit is studied, with the inclusion of the spin-spin interaction terms appearing at the second post-Newtonian order. A…

Dynamics of Black Hole Pairs. I. Periodic Tables

- Physics
- 2009

Although the orbits of comparable-mass, spinning black holes seem to defy simple decoding, we find a means to decipher all such orbits--in the absence of radiation reaction. The conservative dynamics…

Recoil velocity at second post-Newtonian order for spinning black hole binaries

- Physics
- 2009

until merger. Furthermore, we provide expressions valid for generic orbits, and accurate at 2PN order, for the energy and angular momentum carried by gravitational waves emitted from spinning binary…

Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction

- Physics
- 2008

We analyze in detail the spin precession equations in binary black hole systems, when the tidal torque on a Kerr black hole due to quadrupole-monopole coupling is taken into account. We show that…

Coalescing binary systems of compact objects to (post)5/2-Newtonian order. V. Spin effects.

- Physics, MedicinePhysical review. D, Particles and fields
- 1995

The size and importance of spin effects for the cases of two coalescing neutron stars, and for the case of a neutron star orbiting a rapidly rotating $10M_\odot$ black hole are discussed.

Evolution of the Carter constant for inspirals into a black hole : Effect of the black hole quadrupole

- Physics
- 2007

We analyze the effect of gravitational radiation reaction on generic orbits around a body with an axisymmetric mass quadrupole moment Q to linear order in Q, to the leading post-Newtonian order, and…

Gravitational radiation reaction in compact binary systems: Contribution of the quadrupole-monopole interaction

- Physics
- 2003

The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As a result of the…

Spin effects in the inspiral of coalescing compact binaries.

- Physics, MedicinePhysical review. D, Particles and fields
- 1993

The contributions of spin-orbit and spin-spin coupling to the gravitational radiation from coalescing binary systems of spinning compact objects are derived and the rate of energy loss is calculated.