Trapping horizons as inner boundary conditions for black hole spacetimes

José Luis Jaramillo, Eric Gourgoulhon, Isabel Cordero-Carrión, and José María Ibáñez
Phys. Rev. D 77, 047501 – Published 8 February 2008

Abstract

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.

  • Received 18 September 2007

DOI:https://doi.org/10.1103/PhysRevD.77.047501

©2008 American Physical Society

Authors & Affiliations

José Luis Jaramillo1,2,*, Eric Gourgoulhon2,†, Isabel Cordero-Carrión3,‡, and José María Ibáñez3,§

  • 1Instituto de Astrofísica de Andalucía, CSIC, Apartado Postal 3004, Granada 18080, Spain
  • 2Laboratoire Univers et Théories (LUTH), Observatoire de Paris, CNRS, Université Paris Diderot, 5 Place Jules Janssen, 92190 Meudon, France
  • 3Departamento de Astronomía y Astrofísica, Universidad de Valencia, Valencia, Spain

  • *jarama@iaa.es
  • eric.gourgoulhon@obspm.fr
  • Isabel.Cordero@uv.es
  • §Jose.M.Ibanez@uv.es

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 77, Iss. 4 — 15 February 2008

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×