2007/09/18 by José Luis Jaramillo, J. L. Jaramillo, Éric Gourgoulhon +5
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Boundary value problem #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Einstein #Free boundary problem #Horizon #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Radiative transfer #Robin boundary condition #Scheme (mathematics) #Trapping #gr-qc
paper · pdf · doi:10.1103/physrevd.77.047501
published as Phys.Rev.D77:047501,2008 · 4 pages, no figures, RevTeX4
arxiv created 2007/09/18 · openalex publication_date 2008/02/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a set of inner boundary conditions for the numerical construction of dynamical black hole spacetimes, when employing a 3+1 constrained evolution scheme and an excision technique. These inner boundary conditions are heuristically motivated by the dynamical trapping horizon framework and are enforced in an elliptic subsystem of the full Einstein equation. In the stationary limit they reduce to existing isolated horizon boundary conditions. A characteristic analysis completes the discussion of inner boundary conditions for the radiative modes.