Energy and spatial momentum of charged rotating frames in tetrad gravity

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We compute the total energy and the spatial momentum of four charged rotating (Kerr - Newman) frames by using the gravitational energy - momentum 3-form within the framework of the tetrad formulation of the general relativity theory. We show how the effect of the inertial always makes the total energy divergent. We use a natural regularization method, which yields the physical value for the total energy of the system. We show how the regularization method works on a number of different rotating frames that are related to each other by the local Lorentz transformation. We also show that the inertial has no effect on the spatial momentum components. © 2011 Chinese Physical Society and IOP Publishing Ltd.

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