Basic HTML version of Foils prepared 15 March 1996

Foil 9 The Metric Tensor in Einstein's Formulation of General Relativity-I

From Numerical Formulation and Solution of Collision 0f two Black Holes CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox
The speed of light c is set to 1.
  • Normally 3 X 1010 cm/second
All quantities in General Relativity are a function of the four vector:
The dynamical variables of the theory are the 10 independent components of the the metric tensor:
For example, this describes distortion of rubber sheet by bowling ball
g mn = g nm is SYMMETRIC
If two Space-Time points are separated by four vector d m
Square of distance between them is g mn d m d n

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