English

Lapse function for maximally sliced Brill-Lindquist initial data

General Relativity and Quantum Cosmology 2008-11-26 v2

Abstract

For binary black holes the lapse function corresponding to the Brill-Lindquist initial value solution for uncharged black holes is given in analytic form under the maximal slicing condition. In the limiting case of very small ratio of mass to separation between the black holes the surface defined by the zero value of the lapse function coincides with the minimal surfaces around the singularities.

Keywords

Cite

@article{arxiv.gr-qc/0202035,
  title  = {Lapse function for maximally sliced Brill-Lindquist initial data},
  author = {Piotr Jaranowski and Gerhard Schäfer},
  journal= {arXiv preprint arXiv:gr-qc/0202035},
  year   = {2008}
}

Comments

REVTeX, 4 pages, accepted for publication in Phys. Rev. D (ver. 2: some more details added)

R2 v1 2026-07-22T12:35:12.092Z