Numerical Relativity - Mathematical Formulation by Harald Pfeiffer
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
Numerical relativity
How to simulate coalescing binary black holes?
Gravitational waves
Lecture plan
Numerical Relativity
Early & Brief History
2005 - Pretorius
Components of NR
Goal of NR
Projection into
Differential geometry w / in
Extrinsic curvature:
Adopted coordinates
Can also show
Further, all spatial objects objects collapse to 3 -D ones
Decomposing curvature & E. Egs.
Comments
Basics of Partial Difference Equation
Solving Constraints
Conformal trato
Side remark
Solved by e.g
BH momentum of spin : Transverse- traceless decomp of Kip
"Puncture initial data multi - BH boosted spinning BHS.
Evolutions -Strategies to modify equations
BSSN equations
Q&A
Note
Constraint damping
Q&A
Taught by
International Centre for Theoretical Sciences