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Fernández Jambrina, L. Chinea Trujillo, Francisco Javier 2023-06-20T19:16:50Z 2023-06-20T19:16:50Z 1993-10-18 0031-9007 10.1103/PhysRevLett.71.2521 https://hdl.handle.net/20.500.14352/59474 http://prl.aps.org/pdf/PRL/v71/i16/p2521_1 http://journals.aps.org/ A method for interpreting discontinuities of the twist potential of vacuum stationary axisymmetric solutions of Einstein's equations is introduced. Surface densities for the angular momentum of the source can be constructed after solving a linear partial differential equation with boundary conditions at infinity. This formalism is applied to the Kerr metric, obtaining a regularized version of the density calculated with other formalisms. The main result is that the integral defining the total angular momentum is finite for the Kerr metric. eng open access Angular momentum surface density of the kerr metric journal article