Adiabatic radiation reaction to the orbits in Kerr Spacetime

TL;DR

This paper presents a simplified method to evaluate the adiabatic radiation reaction effects on the constants of motion for a particle orbiting in Kerr spacetime, enhancing understanding of gravitational wave sources.

Contribution

The paper introduces a significantly simplified scheme for calculating the evolution of energy, angular momentum, and Carter constant due to radiation reaction in Kerr spacetime.

Findings

Simplified evaluation scheme for constants of motion.

Enhanced computational efficiency for radiation reaction analysis.

Potential applications in gravitational wave modeling.

Abstract

Geodesic motion of a point particle in Kerr geometry has three constants of motion, energy $E$, azimuthal angular momentum $L$, and Carter constant $Q$. Under the adiabatic approximation, radiation reaction effect is characterized by the time evolution of these constants. In this letter we show that the scheme to evaluate them can be dramatically simplified.