ar X iv : g r - qc / 0 50 10 02 v 1 1 J an 2 00 5 Kerr - Newman Spacetime , Energy

نویسنده

  • Gamal G L Nashed
چکیده

An exact solutions of the couple gravitational and electromagnetic fields in the tetrad theory of gravitation are derived. The solutions are characterized by three parameters M, Q and a and they give the Schwarzschild, Reissner-Nordström, Kerr and Kerr-Newman spacetimes respectively. The parallel vector fields of Kerr and Kerr-Newman spacetimes and the electromagnetic vector potential of Kerr-Newman spacetime are axially symmetric. We then, calculate the total exterior energy associated with the Kerr-Newman black hole using the energy-momentum density given by Møller in the framework of the Weitzenböck spacetime. The energy of the Kerr-Newman contained in a sphere is found to be shared by its interior as well as exterior. Switching off the charge parameter (i.e., Q = 0) one finds that no energy is shared by the exterior of the Kerr-Newman black hole. The components of the momentum density in Kerr-Newman black hole are also calculated and then are used to evaluate the angular momentum distribution. The only non-vanishing components of the angular momentum is in the Z direction which is consistence with the structure of the Kerr-Newman solution that describe the exterior field of a charged object rotating about the Z axis. Switching off the charge parameter one finds that no angular momentum is contribute to the exterior of the Kerr-Newman black hole.

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تاریخ انتشار 2005