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Theory of relativity (view source)

Revision as of 00:33, June 26, 2007

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General Relativity is a mathematical extension of Special Relativity.  GR proposes that space-time is curved by massive bodies, so that near any massive body, the sum of the angles in a triangle is not exactly 180 degrees.  
 
General Relativity is a mathematical extension of Special Relativity.  GR proposes that space-time is curved by massive bodies, so that near any massive body, the sum of the angles in a triangle is not exactly 180 degrees.  
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The GR field equations are
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:<math> G_{uv} = 8\pi\, T_{uv} </math>
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where ''G<sub>uv</sub>'' is the [[Einstein curvature tensor]], and ''T<sub>uv</sub>'' is the [[stress-energy tensor]], ''G<sub>uv</sub>'' and ''T<sub>uv</sub>'' are both rank 2 symmetric tensors.  The GR field equations is a system of [[partial differential equations]] that relates the curvature of space to the mass occupying the space.
    
General relativity provides one explanation for the seemingly anomalous precession of Mercury's perihelion.  There are other explanations based in Newtonian gravity, such as factoring in the pull of the other planets on Mercury's orbit.  One Newtonian explanation requires a slight alternation to the precise inverse-square relation of Newtonian gravity to distance, which is disfavored by mathematicians due to its inelegance in integrating.
 
General relativity provides one explanation for the seemingly anomalous precession of Mercury's perihelion.  There are other explanations based in Newtonian gravity, such as factoring in the pull of the other planets on Mercury's orbit.  One Newtonian explanation requires a slight alternation to the precise inverse-square relation of Newtonian gravity to distance, which is disfavored by mathematicians due to its inelegance in integrating.
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