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

Abstract

We derive the effective one-body motion of the dyonic binary and explore features of the static orbit including the chaotic behavior. By using the post-Newtonian method, we calculate the total emission rate of energy and angular momentum due to gravitational radiation and electromagnetic radiation for circular orbits on a Poincaré Cone. Moreover, we get the evolution of the orbit and calculate the merger time of the dyonic binary. We find the electric and magnetic charges could significantly suppress the merger time of the dyonic binary. The results of this paper provide rich information on the dyonic binary and can be used to test black holes with magnetic charges.

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

“…A circle-shaped orbit of the binary is plotted for the parameters a = 1, θ = 3π/10. Though sin(3π/10) = (1 + √ 5)/4 is an irrational number, the orbit is closed and has a finite period in three dimensions [26].…”

“…In this section, we review the loss of energy and angular momentum due to gravitational and A conic-shaped orbit of the binary which is confined to the surface of a cone is plotted in the range of φ from 0 to 40π/ sin θ and the parameters a = 1, e = 0.5 and θ = 3π/10 according to (9). Though the orbit is bounded, it is not closed and has an infinite period in three dimensions since sin(3π/10) is an irrational number [26].…”

“…The plot of r = a(1 − e 2 )/(1 + e cos(φ sin θ )) as a function of φ by choosing a = 1, θ = 3π/10 and e = 0.5 [26]. It has a period of 2π/ sin(3π/10).…”

“…electromagnetic radiations for the three different cases in [26,27]. The averaged rate of, for instance, the momentum loss…”

“…This paper is organized as follows: (i) the orbits under the gravitational attraction and the electromagnetic interaction due to charges, (ii) gravitational and electromagnetic radiations in the inspiral motion, and (iii) the evolution of orbits due to the radiations. For more details, please refer to [26,27]. Throughout this paper, we set…”