Stationary axially symmetric perturbations of a rotating black hole.

Details Stationary axially symmetric perturbations of a rotating black hole. Stationary axially symmetric perturbations of a rotating black hole.

Jul 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..551d&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 7, pp.551-567

Computer Science

6

Scientific paper

A stationary axially symmetric perturbation of a rotating black hole due to a distribution of test matter is investigated. The Newman-Penrose spin coefficient formalism is used to derive a general set of equations describing the perturbed space-time. In a linear approximation we show that the mass and angular momentum of a rotating black hole is not affected by the perturbation. The metric perturbations near the horizon are given. We conclude that given a perturbing test fluid distribution, one can always find a corresponding metric perturbation such that the mass and angular momentum of the black hole are not changed. It was also noticed that when a → M, those perturbed spin coefficients and components of the Weyl tensor which determine the intrinsic properties of the incoming null cone near the horizon grow indefinitely.

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