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Angular momentum surface density of the kerr metric

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Publication Date
1993-10-18
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Fernández Jambrina, L.
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American Physical Society
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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.
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© 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.
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[1] W. Israel, Phys. Rev. D 2, 641 (1970). [2] F.J. Chinea and L.M. Gonzalez-Romero, Classical Quantum Gravity 9, 1271 (1992). [3] L.M. Gonzalez-Romero, Ph. D. thesis, Iiniversidad Complutense de Madrid, 1991 (unpublished). [4] F.J. Ernst, Phys. Rev. 167, 1175 (1968). [5] R.P. Kerr, Phys. Rev. Lett. ll, 237 (1963). [6] V. de la Cruz and W. Israel, Phys. Rev. 170, 1187 (1968). [7] C.A. Lopez, Nuovo Cimento 66B, 17 (1981). [8] O.D. Kellogg, Foundations of Potential Theory (Dover, New York, 1954).
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