Angular Momentum Surface Density of the Kerr Metric

Details Angular Momentum Surface Density of the Kerr Metric Angular Momentum Surface Density of the Kerr Metric

2004-03-25

arxiv.org/abs/gr-qc/0403102v1

Phys.Rev.Lett. 71 (1993) 2521-2523

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, LaTeX 2.09

Scientific paper

10.1103/PhysRevLett.71.2521

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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