Analytical effective-one-body formalism for extreme-mass-ratio inspirals: eccentric orbits

Understand

Extreme-mass-ratio-inspiral (EMRI) is one of the most important sources for the future space-borne gravitational wave detectors.

• In such kind of systems, the compact objects usually orbit around the central supermassive black holes with complicated trajectories.
• Usually, the trajectory is approximated as geodesic of a test-particle in Kerr space-time, and the orbital evolution are simulated with the help of adiabatic approximation.
• However, this omits the influence of the compact object on the back ground.