Resonant jumps induced by stationary tidal perturbation: a two-for-one deal

Abstract

Extreme-mass-ratio inspirals (EMRIs) are promising target sources for space-based interferometers such as LISA, Taiji, and Tianqin. Depending on the astrophysical environment, such as close perturbers or an accretion disk, EMRI orbital evolution may deviate from the predictions of general relativity in vacuum. In particular, we focus on the resonance jumps, i.e., the changes of the conserved quantities induced by a stationary perturbation to the background Kerr geometry. Using Hamiltonian formulation, we provide a closed relation between the jump in Carter constant and that in the axial component of angular momentum. It is also shown that the obtained relation is consistent with the fitting formulae computed for the tidal resonance in previous works.

9 pages, 1 figure, submitted to Class. Quantum Grav

References in corpus (5)

• The TianQin project: current progress on science and technology
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• Observable Properties of Orbits in Exact Bumpy Spacetimes
• Importance of transient resonances in extreme-mass-ratio inspirals
• Importance of tidal resonances in extreme-mass-ratio inspirals

Cited by in corpus (2)

• Prospects for determining the nature of the secondaries of extreme mass-ratio inspirals using the spin-induced quadrupole deformation
• Resonant interactions from dynamical perturbers on generic orbits around an extreme mass ratio inspiral