2010/10/27 by Kenneth A. Dennison, John P. Wendell, Thomas W. Baumgarte +2 · 15 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Circular symmetry #Classical mechanics #Computer graphics (images) #Computer science #Deriving the Schwarzschild solution #General relativity #Generalization #Geometry #Kerr metric #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Slicing #Spacetime #Spherically symmetric spacetime #Symmetry (geometry) #gr-qc
paper · pdf · doi:10.1103/physrevd.82.124057
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(12) (American Physical Society) · 11 pages, 6 figures, submitted to PRD
arxiv created 2010/10/27 · openalex publication_date 2010/12/27 · arxiv updated 2011/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study families of time-independent maximal and 1+log foliations of the Schwarzschild-Tangherlini spacetime, the spherically symmetric vacuum black hole solution in D spacetime dimensions, for D\ensuremath≥4. We identify special members of these families for which the spatial slices display a trumpet geometry. Using a generalization of the 1+log slicing condition that is parameterized by a constant n we recover the results of Nakao, Abe, Yoshino, and Shibata in the limit of maximal slicing. We also construct a numerical code that evolves the Baumgarte-Shapiro-Shibata-Nakamura equations for D=5 in spherical symmetry using moving-puncture coordinates and demonstrate that these simulations settle down to the trumpet solutions.