2003/07/31 by Bernd Reimann, Bernd Brügmann, Bernd Bruegmann · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1103/physrevd.69.044006
published as Phys.Rev.D69:044006,2004 · 21 pages, 9 figures, published version with changes to Sec. VII
openalex publication_date 2004/02/09 · arxiv created 2004/02/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We prove by explicit construction that there exists a maximal slicing of the Schwarzschild spacetime such that the lapse has zero gradient at the puncture. This boundary condition has been observed to hold in numerical evolutions, but in the past it was not clear whether the numerically obtained maximal slices exist analytically. We show that our analytical result agrees with numerical simulation. Given the analytical form for the lapse, we can derive that at late times the value of the lapse at the event horizon approaches the value (3)/(16)√(3)\ensuremath≈0.3248, justifying the numerical estimate of 0.3 that has been used for black hole excision in numerical simulations. We present our results for the nonextremal Reissner-Nordstr"om metric, generalizing previous constructions of maximal slices.