Conditions for sustained orbital resonances in extreme mass ratio inspirals

  title={Conditions for sustained orbital resonances in extreme mass ratio inspirals},
  author={Maarten van de Meent},
  journal={Physical Review D},
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 in Kerr spacetime with self-force corrections in the neighbourhood of a resonant geodesic to a one dimensional equation for a particle moving in an effective potential. From this effective equation we obtain the necessary and sufficient conditions that the self-force needs to satisfy to allow… 

Figures from this paper

Eccentric self-forced inspirals into a rotating black hole

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force (GSF). Our model is based on an action angle formulation

Understanding the importance of transient resonances in extreme mass ratio inspirals

Extreme mass ratio inspirals (EMRIs) occur when a compact object orbits a much larger one, like a solar-mass black hole around a supermassive black hole. The orbit has 3 frequencies which evolve

“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

Fundamental frequencies and resonances from eccentric and precessing binary black hole inspirals

Binary black holes which are both eccentric and undergo precession remain unexplored in numerical simulations. We present simulations of such systems which cover about 50 orbits at comparatively high

Resonance crossing of a charged body in a magnetized Kerr background: an analogue of extreme mass ratio inspiral

We investigate resonance crossings of a charged body moving around a Kerr black hole immersed in an external homogeneous magnetic field. This system can serve as an electromagnetic analogue of a

Fast self-forced inspirals

We present a new, fast method for computing the inspiral trajectory and gravitational waves from extreme mass-ratio inspirals that can incorporate all known and future self-force results. Using

Extreme mass ratio inspirals into black holes surrounded by matter

Inspirals of stellar-mass compact objects into massive black holes, known as extreme mass ratio inspirals (EMRIs), are one of the key targets for upcoming space-based gravitational-wave detectors. In

Nonlinear Effects in EMRI Dynamics and Their Imprints on Gravitational Waves

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

Astrophysics of resonant orbits in the Kerr metric

This paper gives a complete characterization of the location of resonant orbits in a Kerr spacetime for all possible black hole spins and orbital parameter values. A resonant orbit in this work is

Gravitational-wave glitches: Resonant islands and frequency jumps in nonintegrable extreme-mass-ratio inspirals

The detection of gravitational waves from extreme-mass-ratio inspirals with upcoming space-borne detectors will allow for unprecedented tests of general relativity in the strong-field regime. Aside



Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion

Inspirals of stellar-mass compact objects into massive black holes are an important source for future gravitational wave detectors such as Advanced LIGO and LISA. The detection and analysis of these

Multiple Scale and Singular Perturbation Methods

1. Introduction.- 1.1. Order Symbols, Uniformity.- 1.2. Asymptotic Expansion of a Given Function.- 1.3. Regular Expansions for Ordinary and Partial Differential Equations.- References.- 2. Limit

and T

  • Hinderer,
  • 2013

Classical Quant

  • Grav. 19, 2743
  • 2002

Living Rev

  • Rel. 16, 7
  • 2013