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Stationary axially symmetric perturbations of a rotating black hole. [Space-time perturbation, Newman-Penrose formalism]

Abstract

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 it is shown 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. It is concluded 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 tends to 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.
Authors:
Demianski, M [1] 
  1. California Inst. of Tech., Pasadena (USA)
Publication Date:
Jul 01, 1976
Product Type:
Journal Article
Reference Number:
AIX-08-297596; EDB-77-096215
Resource Relation:
Journal Name: Gen. Relativ. Gravitation; (United Kingdom); Journal Volume: 7:7
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; DISTURBANCES; ANALYTICAL SOLUTION; ANGULAR MOMENTUM; KERR METRIC; MASS; PERTURBATION THEORY; ROTATION; SPACE-TIME; METRICS; MOTION; 640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources
OSTI ID:
7313278
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: GRGVA
Submitting Site:
INIS
Size:
Pages: 551-567
Announcement Date:

Citation Formats

Demianski, M. Stationary axially symmetric perturbations of a rotating black hole. [Space-time perturbation, Newman-Penrose formalism]. United Kingdom: N. p., 1976. Web. doi:10.1007/BF00763405.
Demianski, M. Stationary axially symmetric perturbations of a rotating black hole. [Space-time perturbation, Newman-Penrose formalism]. United Kingdom. doi:10.1007/BF00763405.
Demianski, M. 1976. "Stationary axially symmetric perturbations of a rotating black hole. [Space-time perturbation, Newman-Penrose formalism]." United Kingdom. doi:10.1007/BF00763405. https://www.osti.gov/servlets/purl/10.1007/BF00763405.
@misc{etde_7313278,
title = {Stationary axially symmetric perturbations of a rotating black hole. [Space-time perturbation, Newman-Penrose formalism]}
author = {Demianski, M}
abstractNote = {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 it is shown 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. It is concluded 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 tends to 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.}
doi = {10.1007/BF00763405}
journal = {Gen. Relativ. Gravitation; (United Kingdom)}
volume = {7:7}
journal type = {AC}
place = {United Kingdom}
year = {1976}
month = {Jul}
}