Bare masses in time-symmetric initial-value solutions for two black holes

1999/07/06 by P. Jaranowski, Piotr Jaranowski, Gerhard Schäfer · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Model Reduction and Neural Networks #Numerical methods for differential equations #gr-qc

paper · pdf · doi:10.1103/physrevd.61.064008

published as Phys.Rev.D61:064008,2000 · LaTeX, 4 pages

arxiv created 1999/07/06 · openalex publication_date 2000/02/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Brill-Lindquist time-symmetric initial-value solution for two uncharged black holes is rederived using the Hamiltonian constraint equation with Dirac delta distributions as a source for the binary black-hole field. The bare masses of the Brill-Lindquist black holes are introduced in a way which is applied, after straightforward modification, to the Misner-Linquist binary black-hole solution.

Citations

• Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part

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