Abstract
We investigate the energy of the gravitational wave from a binary black hole merger by the coalescence of two Kerr black holes with an orbital angular momentum. The coalescence is constructed to be consistent with particle absorption in the limit in which the primary black hole is sufficiently large compared with the secondary black hole. In this limit, we analytically obtain an effective gravitational spin–orbit interaction dependent on the alignments of the angular momenta. Then, binary systems with various parameters including equal masses are numerically analyzed. According to the numerical analysis, the energy of the gravitational wave still depends on the effective interactions, as expected from the analytical form. In particular, we ensure that the final black hole obtains a large portion of its spin angular momentum from the orbital angular momentum of the initial binary black hole. To estimate the angular momentum released by the gravitational wave in the actual binary black hole, we apply our results to observations at the Laser Interferometer Gravitational-Wave Observatory: GW150914, GW151226, GW170104, GW170608 and GW170814.
Highlights
IntroductionThe coalescence of black holes is one of the most important sources of gravitational waves
The coalescence of black holes is one of the most important sources of gravitational waves.A gravitational wave occurs owing to a variation in the gravitational field, such as the motion of massive bodies
Two Kerr black holes are located far from each other; their gravitational interaction can be ignored. These Kerr black holes rotate with the orbital angular momentum Lorb, which will be included in the total angular momentum
Summary
The coalescence of black holes is one of the most important sources of gravitational waves. By the addition of the particle’s angular momentum, the angular momentum of the Kerr black hole can increase but it cannot exceed the extremal limit of the black hole; its horizon still exists and covers the singularity inside it This implies that the weak cosmic censorship conjecture is valid when adding a particle. Because the irreducible mass cannot be extracted by a physical process, including a Penrose process [7,69], it can be expected to not decrease during the coalescence of black holes, which is an irreversible process This implies that the irreducible mass is used for the formation of the final black holes and a gravitational wave is released from the reducible mass such as the kinetic and rotational energies in the initial state.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
