Nonlinear Effects in EMRI Dynamics and Their Imprints on Gravitational Waves

@article{LukesGerakopoulos2021NonlinearEI,
  title={Nonlinear Effects in EMRI Dynamics and Their Imprints on Gravitational Waves},
  author={Georgios Lukes-Gerakopoulos and Vojtvech Witzany},
  journal={Handbook of Gravitational Wave Astronomy},
  year={2021}
}
The largest part of any gravitational-wave inspiral of a compact binary can be understood as a slow, adiabatic drift between the trajectories of a certain referential conservative system. In many contexts, the phase space of this conservative system is smooth and there are no “topological transitions” in the phase space, meaning that there are no sudden qualitative changes in the character of the orbital motion during the inspiral. However, in this chapter we discuss the cases where this… 

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References

SHOWING 1-10 OF 71 REFERENCES

Transient resonances in the inspirals of point particles into black holes.

It is shown that transient resonances occur in the two-body problem in general relativity for spinning black holes in close proximity to one another when one black hole is much more massive than the other when the ratio of polar and radial orbital frequencies passes through a low order rational number.

Growth of resonances and chaos for a spinning test particle in the Schwarzschild background

Inspirals of stellar-mass compact objects into supermassive black holes are known as extreme mass ratio inspirals. In the simplest approximation, the motion of the compact object is modeled as a

Conditions for sustained orbital resonances in extreme mass ratio inspirals

We investigate the possibility of sustained orbital resonances in extreme mass ratio inspirals. Using a near-identity averaging transformation, we reduce the equations of motion for a particle moving

Two-timescale evolution of extreme-mass-ratio inspirals: Waveform generation scheme for quasicircular orbits in Schwarzschild spacetime

Extreme-mass-ratio inspirals, in which a stellar-mass compact object spirals into a supermassive black hole in a galactic core, are expected to be key sources for LISA. Modelling these systems with

Evolution of the Carter constant for resonant inspirals into a Kerr black hole: I. The scalar case

We discuss the inspiral of a small body around a Kerr black hole. When the time scale of the radiation reaction is sufficiently longer than its orbital period, the leading order orbital evolution is

The dynamics of a spinning particle in a linear in spin Hamiltonian approximation

We investigate for order and chaos the dynamical system of a spinning test particle of mass $m$ moving in the spacetime background of a Kerr black hole of mass M. This system is approximated in our

“Flux-balance formulae” for extreme mass-ratio inspirals

The "flux-balance formulae" that determine the averaged evolution of energy, azimuthal angular momentum, and Carter constant in terms of the averaged asymptotic gravitational-wave fluxes for

Hamiltonians and canonical coordinates for spinning particles in curved space-time

The spin-curvature coupling as captured by the so-called Mathisson–Papapetrou–Dixon (MPD) equations is the leading order effect of the finite size of a rapidly rotating compact astrophysical object

On Geodesic Dynamics in Deformed Black-Hole Fields

“Almost all” seems to be known about isolated stationary black holes in asymptotically flat space-times and about the behaviour of test matter and fields in their backgrounds. The black holes likely

Resonantly enhanced kicks from equatorial small mass-ratio inspirals

We calculate the kick generated by an eccentric black hole binary inspiral as it evolves through a resonant orbital configuration where the precession of the system temporarily halts. As a result,
...