Palatini Formalism of 5-Dimensional Kaluza-Klein Theory
نویسندگان
چکیده
The Einstein field equations can be derived in n dimensions (n > 2) by the variations of the Palatini action. The Killing reduction of 5dimensional Palatini action is studied on the assumption that pentads and Lorentz connections are preserved by the Killing vector field. A Palatini formalism of 4-dimensional action for gravity coupled to a vector field and a scalar field is obtained, which gives exactly the same fields equations in Kaluza-Klein theory.
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