Saturday, March 11, 2006

Motion - Gravity - Geometry

Gravity is not due to force, but it is a manifestation of curved space
and time, the curvature being produced by mass-energy content of the
spacetime.

One of the defining features of general relativity is the idea that
gravitational force is replaced by gravitational geometry. The
phenomenon in classical mechanics which were ascribed to the actions of
force of gravity are taken in general relativity to represent inertial
motion in curved spacetime.

Inertial observers, that is the observers in inertial motion, for
example freefalling objects, can accelereate w.r.t each other. For
instance, if we take the case of two freely falling balls, same mass,
same shape, on the opposite sides of the earth, they'd accelerate w.r.t
each other as they approach other.

So their acceleration, or more precisely their motion, would be a
manifestation of the geometry of spacetime in which they exist.

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