Toward stable 3D numerical evolutions of black-hole spacetimes

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 12, 2002, Pages

  Scheel, Mark A ^a   Kidder, Lawrence E ^a   Lindblom, Lee ^a   Pfeiffer, Harald P ^a   Teukolsky, Saul A ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; EVOLUTION; MASS; MATHEMATICAL ANALYSIS; PHYSICS; THREE DIMENSIONAL IMAGING;

EID: 0037116266     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.124005     Document Type: Article

References (21)

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20. We use a fixed densitized lapse and fixed shift. For the evolution equations studied here fixing the lapse itself violates hyperbolicity, which is inconsistent with the way our code imposes boundary conditions.
21. The analytical estimates 3 suggest that varying the third parameter (Formula presented) should not result in significantly increased stability.