Gravitational and electromagnetic radiation from binary black holes with electric and magnetic charges: Elliptical orbits on a cone

TL;DR

This paper models the energy and angular momentum emission from dyonic binary black holes in elliptical orbits, revealing how electromagnetic and gravitational radiations influence orbit evolution and gravitational waveforms, aiding in testing black hole charges.

Contribution

It extends previous work by calculating emission rates for precessing elliptical orbits and deriving waveform models for dyonic black hole inspirals, highlighting charge effects.

Findings

Emission rates depend on conic angle similarly across orbits.

Elliptic orbits evolve into quasi-circular due to radiation.

Waveform amplitudes differ from Schwarzschild inspirals, enabling charge testing.

Abstract

Extending the electromagnetic and gravitational radiations from binary black holes with electric and magnetic charges in circular orbits in Phys. Rev. D {\bf 102}, 103520 (2020), we calculate the total emission rates of energy and angular momentum due to gravitational and electromagnetic radiations from dyonic binary black holes in precessing elliptical orbits. It is shown that the emission rates of energy and angular momentum due to gravitational and electromagnetic radiations have the same dependence on the conic angle for different orbits. Moreover, we obtain the evolutions of orbits and find that a circular orbit remains circular while an elliptic orbit becomes quasi-circular due to electromagnetic and gravitational radiations. Using the evolution of orbits, we derive the waveform models for dyonic binary black hole inspirals and show the amplitudes of the gravitational waves for dyonic binary black hole inspirals differ from those for Schwarzschild binary black hole inspirals, which can be used to test electric and magnetic charges of black holes.