English

Half period theorem of binary black holes

General Relativity and Quantum Cosmology 2010-01-15 v3

Abstract

Merging event horizons of the binary black holes is investigated. While recent development of the numerical study of the binary black hole coalescence has shown that their apparent horizons can orbit for many periods, we study the orbital motion of the event horizon. We discuss how many periods their event horizons orbit before their coalescence. Then, we find that they soon merge into one and the black holes cannot orbit for a half period while the apparent horizons can orbit many times.

Keywords

Cite

@article{arxiv.0807.4031,
  title  = {Half period theorem of binary black holes},
  author = {Masaru Siino and Daisuke Ida},
  journal= {arXiv preprint arXiv:0807.4031},
  year   = {2010}
}

Comments

9pages, 8figures added., A significant error is corrected., The article has been revised to clarify its insistence

R2 v1 2026-06-21T11:04:14.128Z