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Angular momentum surface density of the kerr metric Fernández Jambrina, L. Chinea Trujillo, Francisco Javier 51-73 Física-Modelos matemáticos Física matemática © 1993 The American Physical Society. The present work has been supported in part by DGICYT Project PB89-0142; L.F.3. is supported by a FPI Predoctoral Scholarship from Ministerio de Educacion y Ciencia (Spain). The authors wish to thank L.M. Gonzalez-Romero for valuable discussions. 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. DGICYT Ministerio de Educacion y Ciencia (Spain) Depto. de Física Teórica Fac. de Ciencias Físicas TRUE pub 2023-06-20T19:16:50Z 2023-06-20T19:16:50Z 1993-10-18 journal article https://hdl.handle.net/20.500.14352/59474 0031-9007 10.1103/PhysRevLett.71.2521 eng PB89-0142 open access application/pdf American Physical Society