Special orthonormal frames and Dirac spinors in Kerr geometry
A method for analyzing gravitational energy in general relativity
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Since Einstein's general theory of relativity for gravity is a frame independent theory, it has the freedom of choosing an orthonormal frame. I can use a gauge condition to select a preferred orthonormal frame for some gravitational systems. The gauge condition selects a special orthonormal frame (SOF). This special orthonormal frame has application in particular to a positive energy proof and energy localization for a gravitational system. The gauge condition is related to the solution of the Dirac equation; by solving the Dirac equation we can determine a special orthonormal frame. However, ...
Since Einstein's general theory of relativity for gravity is a frame independent theory, it has the freedom of choosing an orthonormal frame. I can use a gauge condition to select a preferred orthonormal frame for some gravitational systems. The gauge condition selects a special orthonormal frame (SOF). This special orthonormal frame has application in particular to a positive energy proof and energy localization for a gravitational system. The gauge condition is related to the solution of the Dirac equation; by solving the Dirac equation we can determine a special orthonormal frame. However, in curved spacetime the solution of Dirac equation is highly nontrivial.
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