Kerr black hole in the background of the Einstein universe
type: Item
instance of: scholarly article
title: Kerr black hole in the background of the Einstein universe
zbMATH Open document ID: 1040.83025
DOI: 10.1023/A:1026290708471
author: B. S. Ramachandra
author: C. V. Vishveshwara
author: K. Rajesh Nayak
published in: General Relativity and Gravitation
publication date: 2004-01-23T00:00:00Z
review text: The authors investigate the Vaidya-Einstein-Kerr (VEK) black hole which represents the spacetime of the Kerr black hole in a non-vacuum, asymptotically non-flat background. The energy-momentum tensor corresponding to this spacetime satisfies reasonable energy conditions. Several properties of black holes are significantly modified by the background effects. These properties include the structure of the ergosphere, the geometry of the event horizon as well as its angular velocity. The effect of the background is investigated by computing the equatorial and polar circumferences and determining the oblateness of the horizon. The surface area of the VEK black hole gets nontrivially coupled to rotation in sharp contrast to the Kerr case. The angular velocity of the VEK horizon goes up significantly as the background influence increases. The authors describe the VEK metric as given by Vaidya and cast it in the Boyer-Lindquist form, present the energy momentum tensor and discuss the structure of the event horizon and the stationary limit surface as modified by the background. The Gaussian curvature is investigated and conditions for global embedding of the VEK black hole in Euclidean space are established.
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 83F05
zbMATH DE Number: 2031224
zbMATH Keywords: Vaidya-Einstein-Kerr black hole
zbMATH Keywords: Kerr metric
zbMATH Keywords: Einstein universe
zbMATH Keywords: non-flat background
zbMATH Keywords: energy-momentum tensor
zbMATH Keywords: ergosphere
zbMATH Keywords: shape of event horizon
zbMATH Keywords: angular velocity
zbMATH Keywords: equatorial tangential velocity
zbMATH Keywords: equatorial and polar circumferences
zbMATH Keywords: surface gravity
zbMATH Keywords: scale
zbMATH Keywords: distortion parameters
zbMATH Keywords: oblateness
zbMATH Keywords: surface area
zbMATH Keywords: embedding
zbMATH Keywords: Gaussian curvature
reviewed by: Serguey M. Pokas
MaRDI profile type: Publication
cites work: Schwarzschild black hole in the background of the Einstein universe: some physical effects
cites work: Gyroscopic precession and inertial forces in the Kerr - Newman spacetime
cites work: Physical effects in the Vaidya–Einstein–Kerr spacetime
full work available at URL: a:1026290708471
OpenAlex ID: W1676860452
description: scientific article; zbMATH DE number 2031224