Perturbative effects of spinning black holes with applications to recoil velocities

TL;DR

This paper develops an analytical method to study gravitational wave recoil effects caused by spinning black hole binaries, enhancing understanding of large recoil velocities observed in numerical simulations.

Contribution

It introduces a first-order perturbation formalism incorporating black hole spin effects, advancing analytical tools for gravitational recoil analysis.

Findings

Analytical insights into recoil velocities from spinning black hole mergers.

Enhanced understanding of the origin of large recoil velocities.

Comparison with numerical simulations supports the formalism's validity.

Abstract

Recently, we proposed an enhancement of the Regge-Wheeler-Zerilli formalism for first-order perturbations about a Schwarzschild background that includes first-order corrections due to the background black-hole spin. Using this formalism, we investigate gravitational wave recoil effects from a spinning black-hole binary system analytically. This allows us to better understand the origin of the large recoils observed in full numerical simulation of spinning black hole binaries.