Killing spinors and massless spinor fields
Copyright policy )Killing spinors and massless spinor fields
Abstract It is shown that in a space–time that admits a Killing spinor any solution of the Weyl or of the Maxwell equations can be used as a potential for another solution of the corresponding equation. Furthermore, it is shown that the new solution can be generated by a single component of the given one, which satisfies a decoupled equation. For the Kerr metric, the connection between the procedure presented here and several results previously known is established.
Kerr metric, General relativity, Maxwell equations, Applications of local differential geometry to the sciences, Spin and Spin\({}^c\) geometry, Weyl equation, Killing spinor
Kerr metric, General relativity, Maxwell equations, Applications of local differential geometry to the sciences, Spin and Spin\({}^c\) geometry, Weyl equation, Killing spinor
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