Newtonian and relativistic gravity
Keywords:gravity, Newtonian gravity, relativistic gravity, special relativity, general relativity
Classical Newtonian gravity admits a geometrical description. Together with special relativity, this allows for a heuristic description of general relativity. Inertial motion in classical mechanics is related to the geometry of space and time, basically along geodesics where universe lines are straight lines in relativistic spacetime. According to general relativity, the force of gravity is a manifestation of the local space-time geometry. General relativity is a metric theory of gravity. At its base are Einstein's equations, which describe the relationship between the geometry of a four-dimensional, pseudo-Riemannian manifold representing space-time and the energy-momentum contained in that space-time. Gravity corresponds to changes in the properties of space and time, which in turn alter the paths of objects.
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