Kerr-Newman Black Hole in the Formalism of Isolated Horizons

Abstrakt

We study Kerr-Newman black hole in the formalism of isolated horizons using a solution found by Krishnan. The space-time in the neighborhood of a general isolated black hole, Classical and Quantum Gravity, 29, 205 006, 2012.

It establishes the existence of a null tetrad which is tangent to the horizon and parallelly propagated off the horizon along a non-twisting null geodesic congruence. However, the tetrad is not given by Krishnan.

We formulate appropriate initial data and firstly construct such a tetrad in a perturbative way and finally we find also its exact form everywhere in the space-time.

Klíčová slova

• general relativity
• black holes
• Kerr-Newman metric
• isolated horizons