GC Tiger Team Meeting: Background Material
Papers related to black hole excising techniques and coordinate
conditions
- Summary of minimeeting on inner boundaries
- J. M. Bardeen and T. Piran,
``General Relativistic Axisymmetric Rotating Systems:
Coordinates and Equations'',
Physics Reports, 96, 205-250 (1983)
- J. Balakrishna, G. Daues, E. Seidel, W-M. Suen, M. Tobias, E. Wang
``Coordinate Conditions and Their Implementation in 3D Numerical Relativity'',
gr-qc/9601027
- J. Thornburg, ``Coordinates and Boundary Conditions
for the General Relativistic Initial Data Problem'',
University of British Columbia M.Sc Thesis (1985)
- J. Thornburg,
``Coordinates and Boundary Conditions
for the General Relativistic Initial Data Problem'',
Classical and Quantum Gravity 4, 1119-1131 (1987)
- J. Thornburg,
``Numerical Relativity in Black Hole Spacetimes'',
University of British Columbia PhD Thesis (1993)
- E. Seidel and W-M. Suen,
``Towards a Singularity Proof Scheme in Numerical Relativity'',
Physical Review Letters 69, 1845-1848 (1992),
- M. Alcubierre and B. F. Schutz,
``Time-Symmetric ADI and Causal Reconnection: Stable Numerical
Techniques for Hyperbolic Systems on Moving Grids'',
Journal of Computational Physics 112, 44-77 (1994)
- A. Abrahams,
``The No Boundary Proposal'',
Talk presented at the NSCA Numerical Relativity Conference, (1994)
- M. A. Scheel, S. L. Shapiro and S. A. Teukolsky,
``Collapse to Black Holes in Brans-Dicke Theory.
1. Horizon Boundary Conditions for Dynamical Space-times'',
Physical Review D 51, 4208-4235 (1995),
gr-qc9411025
- M. A. Scheel, S. L. Shapiro and S. A. Teukolsky,
``Collapse to Black Holes in Brans-Dicke Theory.
2. Comparison with General Relativity'',
Physical Review D, 51, 4236-4249 (1995),
gr-qc9411026
- P. Anninos, G. Daues, J. Masso, E. Seidel and W-M. Suen,
``Horizon Boundary Conditions for Black Hole Space-times'',
Physical Review D, 51, 5562-5578 (1995)
- P. Anninos, K.Camarda, J.Masso, E.Seidel, W-M.Suen and J.Towns,
``Three-Dimensional Numerical Relativity: The Evolution of Black Holes'',
Physical Review D, 52, 2059-2082 (1995)
- R.L. Marsa and M.W. Choptuik,
``Black Hole--Scalar Field Interactions in Spherical Symmetry'',
Physical Review D, (in press) (1996),
gr-qc/9607034
Other related material
- A. Abrahams, A. Anderson, Y. Choquet-Bruhat and J. W. York, Jr..
``A Nonstrictly Hyperbolic System for the Einstein Equations with
Arbitrary Lapse and Shift'',
gr-qc/9607006
(1996)
- A. Abrahams, A. Anderson, Y. Choquet-Bruhat and J. W. York, Jr..
``Geometrical Hyperbolic Systems for General Relativity and
and Gauge Theories''
gr-qc/9605014
(1996)
- A.M. Abrahams and J.W. York, Jr..
``(3+1) General Relativity in Hyperbolic Form'',
gr-qc/9601031
- C. Bona, J. Masso, E. Seidel and J. Stela,
``A New Formalism for Numerical Relativity'',
Physical Review Letters, 75, 600-603 (1995)
Any suggestions or modifications to this list would be appreciated.
Supported by NSF ACS/PHY 9318152 (ARPA supplemented)
Maintained by
Mijan Huq.
Please direct comments & suggestions to
mijan@galileo.ph.utexas.edu