Basic HTML version of Foils prepared Jan 31 99

Foil 10 2:Einstein Field Equations

From Overview of BBH Simulations Physics Colloquium -- Oct 29 1998. by Scott Klasky
Relates the geometry of spacetime, as given by a spacetime metric, to mass-energy contained within it.
  • The gravitational field is the history of the geometry of a space-like hypersurface.
Matter/Energy curves spacetime and that in turn affects trajectories in it. For example:
  • Precession of Mercury's orbit.
  • Deflection of light around the Sun.
Black Holes are vacuum solutions (i.e.: Tmn= 0 )
  • Interaction of binary black holes occurs via their curvatures.
Gmn = kTmn

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