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Forum List  Follow Ups  Post Message  Back to Thread Topics  In Response To Posted by Bruce on March 22, 2001 21:30:50 UTC 
In relativity an objects natural motion is described by Newton's first law of motion. This is called a geodesic. For the gravitiational field this is a straight line through curved spacetime. This is an objects natural motion and is also referred to as free fall. There is no force of gravity in GR. For a freely falling object there are three constants of the motion. Energy per unit mass E/m, momentum per unit mass p/m (in SR) and angular momentum per unit mass L/m. The Schwarzchild metric was the first solution to Einstein's equations. Even though this metric is written for describing spacetime around spherically symmetric nonrotating bodies of mass it is still a very good approximation for slowly spinning objects such as the Sun and planets of our solar system. From the Schwarzchild metric these constants of motion are derived


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